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AP calculus help

  • Thread starter Thread starter Evan Tipps
  • Start date Start date
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Evan Tipps

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Not sure how much help I'll get here.. lol but is anyone here good at math?
 
Given the following function f(x)= 2x-a, x<-2 | ax+2b, -2<_x<_2 | b-5x, x>2 find a and b so that f(x) is continous.
 
Find the values of a and b that make f continuous everywhere.
f (x)=
{
x2−4x−2 if x<2
ax2−bx+3 if 2≤x<3
2x−a+b if x≥3 }


Here, we have the system of equations

Solving, we get a = 21/2 and b = 51/2.


Find the values of a and b that make f continuous everywhere.
f (x)=
{
1. x^2−4x−2 if x<2
2. ax2−bx+3 if 2≤x<3
3. 2x−a+b if x≥3 }
-----------------------------
Evaluate "1" at x = 2
f(2) = 2^2-4*2-2 = -6
--------------
Evaluate "3" at x = 3
g(3) = 2(3)-a+b = 6-a+b
----
So two of the points of "2" must be (2,-6) and (3,6-a+b)
____
Substitute those coordinates into "2"
to solve for "a" and for "b".
---
2. ax2−bx+3
----
(2,-6) gives you 4a-2b+3 = -6
2a - b = -9
---

(3,6-a+b) gives you a(9)-b(3)+3 = 6-a+b
10a - 4b = 3
--------------------
Solve the system:
2a - b = -9
10a -4b = 3
----------------------
Multiply thru 1st equation by 5:
10a - 5b = -45
10a - 4b = 3
---
Subtract to get:
b = 48
---
Solve for "a":
2a - b = -9
2a - 48 = -9
2a = 39
a = 39/2
 
PICK3 said:
Find the values of a and b that make f continuous everywhere.
f (x)=
{
x2−4x−2 if x<2
ax2−bx+3 if 2≤x<3
2x−a+b if x≥3 }


Here, we have the system of equations

Solving, we get a = 21/2 and b = 51/2.


Find the values of a and b that make f continuous everywhere.
f (x)=
{
1. x^2−4x−2 if x<2
2. ax2−bx+3 if 2≤x<3
3. 2x−a+b if x≥3 }
-----------------------------
Evaluate "1" at x = 2
f(2) = 2^2-4*2-2 = -6
--------------
Evaluate "3" at x = 3
g(3) = 2(3)-a+b = 6-a+b
----
So two of the points of "2" must be (2,-6) and (3,6-a+b)
____
Substitute those coordinates into "2"
to solve for "a" and for "b".
---
2. ax2−bx+3
----
(2,-6) gives you 4a-2b+3 = -6
2a - b = -9
---

(3,6-a+b) gives you a(9)-b(3)+3 = 6-a+b
10a - 4b = 3
--------------------
Solve the system:
2a - b = -9
10a -4b = 3
----------------------
Multiply thru 1st equation by 5:
10a - 5b = -45
10a - 4b = 3
---
Subtract to get:
b = 48
---
Solve for "a":
2a - b = -9
2a - 48 = -9
2a = 39
a = 39/2
Click to expand...

damn, pick beat me to it
 
PICK3 said:
Find the values of a and b that make f continuous everywhere.
f (x)=
{
x2−4x−2 if x<2
ax2−bx+3 if 2≤x<3
2x−a+b if x≥3 }


Here, we have the system of equations

Solving, we get a = 21/2 and b = 51/2.


Find the values of a and b that make f continuous everywhere.
f (x)=
{
1. x^2−4x−2 if x<2
2. ax2−bx+3 if 2≤x<3
3. 2x−a+b if x≥3 }
-----------------------------
Evaluate "1" at x = 2
f(2) = 2^2-4*2-2 = -6
--------------
Evaluate "3" at x = 3
g(3) = 2(3)-a+b = 6-a+b
----
So two of the points of "2" must be (2,-6) and (3,6-a+b)
____
Substitute those coordinates into "2"
to solve for "a" and for "b".
---
2. ax2−bx+3
----
(2,-6) gives you 4a-2b+3 = -6
2a - b = -9
---

(3,6-a+b) gives you a(9)-b(3)+3 = 6-a+b
10a - 4b = 3
--------------------
Solve the system:
2a - b = -9
10a -4b = 3
----------------------
Multiply thru 1st equation by 5:
10a - 5b = -45
10a - 4b = 3
---
Subtract to get:
b = 48
---
Solve for "a":
2a - b = -9
2a - 48 = -9
2a = 39
a = 39/2
Click to expand...
Thanks man! I don't even know how to type some of these fucking questions
 
givien the following piece-wise function f(X)= 2x+4 for x<_1, x^2 for 1<x<2, 3x-6 for x>_2

lim x->1-
lim x->2-
lim x->1+
lim x->2+
lim x->1
lim x->2
 
PICK3 said:
Find the values of a and b that make f continuous everywhere.
f (x)=
{
x2−4x−2 if x<2
ax2−bx+3 if 2≤x<3
2x−a+b if x≥3 }


Here, we have the system of equations

Solving, we get a = 21/2 and b = 51/2.


Find the values of a and b that make f continuous everywhere.
f (x)=
{
1. x^2−4x−2 if x<2
2. ax2−bx+3 if 2≤x<3
3. 2x−a+b if x≥3 }
-----------------------------
Evaluate "1" at x = 2
f(2) = 2^2-4*2-2 = -6
--------------
Evaluate "3" at x = 3
g(3) = 2(3)-a+b = 6-a+b
----
So two of the points of "2" must be (2,-6) and (3,6-a+b)
____
Substitute those coordinates into "2"
to solve for "a" and for "b".
---
2. ax2−bx+3
----
(2,-6) gives you 4a-2b+3 = -6
2a - b = -9
---

(3,6-a+b) gives you a(9)-b(3)+3 = 6-a+b
10a - 4b = 3
--------------------
Solve the system:
2a - b = -9
10a -4b = 3
----------------------
Multiply thru 1st equation by 5:
10a - 5b = -45
10a - 4b = 3
---
Subtract to get:
b = 48
---
Solve for "a":
2a - b = -9
2a - 48 = -9
2a = 39
a = 39/2
Click to expand...

Who the fuck do you think you are?
 
PICK3 said:
Find the values of a and b that make f continuous everywhere.
f (x)=
{
x2−4x−2 if x<2
ax2−bx+3 if 2≤x<3
2x−a+b if x≥3 }


Here, we have the system of equations

Solving, we get a = 21/2 and b = 51/2.


Find the values of a and b that make f continuous everywhere.
f (x)=
{
1. x^2−4x−2 if x<2
2. ax2−bx+3 if 2≤x<3
3. 2x−a+b if x≥3 }
-----------------------------
Evaluate "1" at x = 2
f(2) = 2^2-4*2-2 = -6
--------------
Evaluate "3" at x = 3
g(3) = 2(3)-a+b = 6-a+b
----
So two of the points of "2" must be (2,-6) and (3,6-a+b)
____
Substitute those coordinates into "2"
to solve for "a" and for "b".
---
2. ax2−bx+3
----
(2,-6) gives you 4a-2b+3 = -6
2a - b = -9
---

(3,6-a+b) gives you a(9)-b(3)+3 = 6-a+b
10a - 4b = 3
--------------------
Solve the system:
2a - b = -9
10a -4b = 3
----------------------
Multiply thru 1st equation by 5:
10a - 5b = -45
10a - 4b = 3
---
Subtract to get:
b = 48
---
Solve for "a":
2a - b = -9
2a - 48 = -9
2a = 39
a = 39/2
Click to expand...

Wait - there is more to Pick3 than a tight little ass?
 
There's a rather large amount of "similar threads" listed below. I had no idea that a jooser forum was the place to look for Calculus help.
 
PICK3 said:
Find the values of a and b that make f continuous everywhere.
f (x)=
{
x2−4x−2 if x<2
ax2−bx+3 if 2≤x<3
2x−a+b if x≥3 }


Here, we have the system of equations

Solving, we get a = 21/2 and b = 51/2.


Find the values of a and b that make f continuous everywhere.
f (x)=
{
1. x^2−4x−2 if x<2
2. ax2−bx+3 if 2≤x<3
3. 2x−a+b if x≥3 }
-----------------------------
Evaluate "1" at x = 2
f(2) = 2^2-4*2-2 = -6
--------------
Evaluate "3" at x = 3
g(3) = 2(3)-a+b = 6-a+b
----
So two of the points of "2" must be (2,-6) and (3,6-a+b)
____
Substitute those coordinates into "2"
to solve for "a" and for "b".
---
2. ax2−bx+3
----
(2,-6) gives you 4a-2b+3 = -6
2a - b = -9
---

(3,6-a+b) gives you a(9)-b(3)+3 = 6-a+b
10a - 4b = 3
--------------------
Solve the system:
2a - b = -9
10a -4b = 3
----------------------
Multiply thru 1st equation by 5:
10a - 5b = -45
10a - 4b = 3
---
Subtract to get:
b = 48
---
Solve for "a":
2a - b = -9
2a - 48 = -9
2a = 39
a = 39/2
Click to expand...

Got this wrong today.. still got 49/52 problems right tho so im happy
 
2 snakes climbed up on a picnic table and made mad passionate reptilian love

awhile later a bunch of tiny snakes appeared




moral of the story:


Even an adder can multiply on a log table



[end]worse math joke ever[/end] :sulk:
 
wrong approach: asking EF for calc. help.

right approach: instead of doing homework or taking exams, bring a fully-loaded barbell to class. when it's time to submit your
work, get to the front of the room and start repping out some heavy-ass pulls. no one questions a righteous deadlift.

no one.
 
Evan Tipps said:
I had no idea how to do that problem. So yep I copied it
Click to expand...

It's an algebraic formula, not really "calculus". This problem has nothing to do with derivatives or integrals.

Honestly, algebra is hard. Well, more advanced algebra is hard. Doing the operations in a logical order and fashion can be tricky.

Right off the bat, the problems say "if X<2" and Pick 3 said X = 39/2.

39/2 is obviously not congruent with the statement "if x <2".

Etc.
 
It's something you will never ever need in your future other than looking good on college applications.
 
WoodyO said:
It's something you will never ever need in your future other than looking good on college applications.
Click to expand...

Yep.. I wish I didnt take it. Its the most stressful class I have had! SO much work. And I could have just took a easy math class senior year.. o well
 
Evan Tipps said:
Yep.. I wish I didnt take it. Its the most stressful class I have had! SO much work. And I could have just took a easy math class senior year.. o well
Click to expand...

I took Calculus as a junior, then my senior year I took consumer math, which is basically a remedial class, just because I needed another math class and there was no way in hell I was going to sit through Math Studies.
 
WoodyO said:
I took Calculus as a junior, then my senior year I took consumer math, which is basically a remedial class, just because I needed another math class and there was no way in hell I was going to sit through Math Studies.
Click to expand...

I plan on going to community college for 2 years after. HS. So I really didnt need this class. I wish I just took discrete math which is really easy
 
Evan Tipps said:
Good job outlook good hours and good pay. I don't expect my job to be fun. I just want to make enough to be able to support a family when I am older
Click to expand...


Good profession. I thought about doing it for a while. The beauty of it, in my opinion, is that there are pharmacist jobs everywhere. You could live someplace really cool, which you just aren't going to be able to do if you are a chemical engineer for example.

Plus I'm surpised no juicers here mentioned the benefits of being on that side of the counter. :)
 
Headholio said:
Good profession. I thought about doing it for a while. The beauty of it, in my opinion, is that there are pharmacist jobs everywhere. You could live someplace really cool, which you just aren't going to be able to do if you are a chemical engineer for example.

Plus I'm surpised no juicers here mentioned the benefits of being on that side of the counter. :)
Click to expand...

I have always thought it would be a good job. Im not sure if it will be a benefit to juicing though.. Seems like they would have to go through extensivene drug tests
 
Headholio said:
Good profession. I thought about doing it for a while. The beauty of it, in my opinion, is that there are pharmacist jobs everywhere. You could live someplace really cool, which you just aren't going to be able to do if you are a chemical engineer for example.

Plus I'm surpised no juicers here mentioned the benefits of being on that side of the counter. :)
Click to expand...

I thought about becuming a fluffer
 
WoodyO said:
Did you celebrate by goin' into a roid rage in class?
Click to expand...

Lol i screamed with joy! When he handed me my paper he said to the class "I have people who haven't even sniffed 100s make a 100, and people who made 100s make there lowest grade" The dude called me stupid pretty much :(
 
I have never, ever needed calculus. Modern science... ProE, Mastercam, and Solidworks does all the work for me.
 
Hahaha idk about engineer. Im not that great at math and heard it was ALOT of math. I also dont think I will ever use it, but if I pass the AP calculus exam I will not have to take it at the college I plan on going too, which will save $6,000.
 
Evan Tipps said:
Hahaha idk about engineer. Im not that great at math and heard it was ALOT of math. I also dont think I will ever use it, but if I pass the AP calculus exam I will not have to take it at the college I plan on going too, which will save $6,000.
Click to expand...

How does 1 class at community college cost $6k?
 
PICK3 said:
How does 1 class at community college cost $6k?
Click to expand...

It would be if I took it at the private school I plan on transfering to It would save me 6 credit hours which is ruffly 6k at that school.
 
Evan Tipps said:
Lol i screamed with joy! When he handed me my paper he said to the class "I have people who haven't even sniffed 100s make a 100, and people who made 100s make there lowest grade" The dude called me stupid pretty much :(
Click to expand...

is it an Indian teacher? no racist
 
Evan Tipps said:
Hahaha idk about engineer. Im not that great at math and heard it was ALOT of math. I also dont think I will ever use it, but if I pass the AP calculus exam I will not have to take it at the college I plan on going too, which will save $6,000.
Click to expand...

Generally, engineering programs require two semesters of calculus as well as two semesters of calculus based physics and two semesters of chemistry. I doubt it's substantially more math than a pharmacy degree.
 
Evan Tipps said:
Hahaha idk about engineer. Im not that great at math and heard it was ALOT of math. I also dont think I will ever use it, but if I pass the AP calculus exam I will not have to take it at the college I plan on going too, which will save $6,000.
Click to expand...

I was terrible in math all through primary and secondary school; You just need to put in the time and use the resources available.
 
Headholio said:
Every engineering class is a math class.
Click to expand...

If you paint mathematics with a broad enough brush that's an accurate statement because mathematics is how we quantify the universe. Likewise, every pharmacy class would also by definition be a math class just like all my CS classes would be math classes. However, a distinction should be made between applied mathematics and courses that are straight mathematics; I've always found applied mathematics easier to understand because they're applicable to real world problems.
 
My first "light bulb" moment in mathematics was a CS course where I had to write an algorithm that would convert between base two, ten, and sixteen; It just started to make sense.
 
Got a calculus big unit test monday, project due monday, honors chemistry hw do monday calculus worksheets due monday.. But all I can do is procrastinate and play dota :O
 
I had to take tons of math for my engineering degree.

Calculus 1,2,3
Statistics
Differential equations
Partial differential equations

Most engineering courses required the use of this stuff in practice, not just theory.

Such as Thermo-dynamics, Mechatronics, Strengths of materials, Statics, hydraulic systems, etc.



It isn't easy.
 
javaguru said:
My first "light bulb" moment in mathematics was a CS course where I had to write an algorithm that would convert between base two, ten, and sixteen; It just started to make sense.
Click to expand...

Nobody gives a shit about your lightbulb moments
 
javaguru said:
I was terrible in math all through primary and secondary school; You just need to put in the time and use the resources available.
Click to expand...
I was great in math up until college, I had to take Statistics I and II, barely passed both, I was missing some points to pass on the last one and the teacher called me aside and said "I'll let you pass ifyou promise you wont do research/run statistics on your own" I replied "I dont think I can if I wanted to anyway :worried:"
 
nangiggles said:
I was great in math up until college, I had to take Statistics I and II, barely passed both, I was missing some points to pass on the last one and the teacher called me aside and said "I'll let you pass ifyou promise you wont do research/run statistics on your own" I replied "I dont think I can if I wanted to anyway :worried:"
Click to expand...

What major requires two stats classes?:worried: I've had two stat classes but one was business stats as part of my undergrad in history requirements.

My father got me through my primary and secondary school math classes but my Algebra I teacher, my freshman year was good, I think she gave me a lot of individual attention because she thought I was good looking; She told my mother as much at the parent teacher conference :worried:.
 
dabuffguy said:
I had to take tons of math for my engineering degree.

Calculus 1,2,3
Statistics
Differential equations
Partial differential equations

Most engineering courses required the use of this stuff in practice, not just theory.

Such as Thermo-dynamics, Mechatronics, Strengths of materials, Statics, hydraulic systems, etc.



It isn't easy.
Click to expand...

Not pursuing sexual relations makes you more likely to have higher grades. Kudos to you, I was a man whore in college, once I started paying for my classes... later on did I start investing my time toward "better ends."
 
javaguru said:
Not pursuing sexual relations makes you more likely to have higher grades. Kudos to you, I was a man whore in college, once I started paying for my classes... later on did I start investing my time toward "better ends."
Click to expand...

I had to retake a couple courses. School freakin sucks. My graduation application is being reviewed right now though, finally.
 
javaguru said:
I've dropped a few classes because it would have been mathematically difficult to get an A.
Click to expand...

I did that too because of engineering projects at work. I had obligations and minimum hours requirements while going to school.

And, just as I finish school, they laid me off. Faggots. Now it's the holidays, and instead of getting a massive raise, I'm basically broke and without work.
 
dabuffguy said:
I did that too because of engineering projects at work. I had obligations and minimum hours requirements while going to school.

And, just as I finish school, they laid me off. Faggots. Now it's the holidays, and instead of getting a massive raise, I'm basically broke and without work.
Click to expand...

Engineering these days, it's all project based.
 
javaguru said:
Engineering these days, it's all project based.
Click to expand...

Since they laid me off, my boss and co-workers in my department have been swamped and they have fallen over a month behind schedule. I really liked them. They are cool guys and we all got along really well. They were not happy when they let me go because we're bros and because they knew they'd be screwed. They'd already let one other guy go early this year, which overloaded us, and with me gone and not even looking for a replacement because they'd keep me if they could, they are doing the work of 5 with 2 1/2 and I say 2 1/2 because my boss is also involved with corporate PLM system integration.

Sucks for them.

The CEO is some Elitist prick from India. My dad was a president over two separate divisions and after 28 years of service, he "retired early" because corporate leaders are a bunch of pricks and have been destroying the company from the inside out and my dad refused to be associated with the vulture tactics and all the garbage.

I could vent on this for 20 pages, lol.
 
javaguru said:
What major requires two stats classes?:worried: I've had two stat classes but one was business stats as part of my undergrad in history requirements.

My father got me through my primary and secondary school math classes but my Algebra I teacher, my freshman year was good, I think she gave me a lot of individual attention because she thought I was good looking; She told my mother as much at the parent teacher conference :worried:.
Click to expand...
Psychology, in CR there are no majors, there's careers, by that I mean every course is designed towards your career, there are no "filler" classes, I took ethics of psychology, communication skills for chart and reports, stats for when we do a battery of tests or when we design our own test and need to validate it, an education in CR is in theory better than education here yet my licence degree (more than a bachelor's, just a year short of a Masters) was deamed a bachelor's of Science in Psychology :( a bachelor's is a bachelor's I guess :whatever:
 
Were starting derivatives in calculus now.. This shit is easy
 
Everytime we take tests in there and I fall asleep after I wake up with wood. So I suppose so
 
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