I don't even know what is this: y=f(x), if f''(x)sen(1/2 * x); f'(pi)=2 and f(pi)= 0

Mariodav94

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I have a really difficult calculus 1 homework and I am barely making any progress and it is due this Friday so could someone help me with some exercises I dont even understand what to do please?

2.- Determine the function y=f(x), if f''(x)sen(1/2 * x); f'(pi)=2 and f(pi)= 0
The homework has all the respective answers, but I don't even know what to do here because we didn't ever do any problem that resembles this and no book I own has anything similar...
 
I have a really difficult calculus 1 homework and I am barely making any progress and it is due this Friday so could someone help me with some exercises I dont even understand what to do please?

2.- Determine the function y=f(x), if f''(x)sen(1/2 * x); f'(pi)=2 and f(pi)= 0
The homework has all the respective answers, but I don't even know what to do here because we didn't ever do any problem that resembles this and no book I own has anything similar...
What is that (sen)?
 
I have a really difficult calculus 1 homework and I am barely making any progress and it is due this Friday so could someone help me with some exercises I dont even understand what to do please?

2.- Determine the function y=f(x), if f''(x)sen(1/2 * x); f'(pi)=2 and f(pi)= 0
The homework has all the respective answers, but I don't even know what to do here because we didn't ever do any problem that resembles this and no book I own has anything similar...
Your class hasn't done anything about either derivatives or antiderivatives? :shock:
 
Lol, sorry sen = Sin, sen is sin in spanish.

Yes it has but we haven't seen not ven 1 problem like this and I have chequed Larson, Leithold, and CG to calculus, to see if there was any problem like this and I haven't found anything
 
Sen = Sin, sorry I confused it because I receive this class is in spanish.

And yes I have seen derivatives and antiderivatives but we haven't seen anything like this problem and at least in the books I own of calculus I haven't seen anything that resembles this problem.
 
Your class hasn't done anything about either derivatives or antiderivatives? :shock:

Yes we haven, but no problem we have done resembles this one, and also I cant find any problem like this in the books I own.
 
Do you know for example that the derivative of cos(x) is -sen(x)? (in English, sin(x)). Do you know the "chain rule"? Those are what you need here.
 
of course

Of course I know derivatives and antiderivatives, this is for my finals of calculus 1 in college. Still we haven't seen any problem that looks like this and I haven't seen it in my books either.

Sen = Sin, sorry I speak spanish so I confused both
 
I have a really difficult calculus 1 homework and I am barely making any progress and it is due this Friday so could someone help me with some exercises I dont even understand what to do please?

2.- Determine the function y=f(x), if f''(x)sen(1/2 * x); f'(pi)=2 and f(pi)= 0
The homework has all the respective answers, but I don't even know what to do here because we didn't ever do any problem that resembles this and no book I own has anything similar...
Is the problem:

Determine the function y=f(x),

if f''(x) = sin(1/2 * x); f'(π)=2 and f(π)= 0

If it is then:

Can you find the antiderivative of f"(x)

Can you find the antiderivative of "sin(1/2 * x)"?

If you can - what are those?
 
Is the problem:

Determine the function y=f(x),

if f''(x) = sin(1/2 * x); f'(π)=2 and f(π)= 0

If it is then:

Can you find the antiderivative of f"(x)

Can you find the antiderivative of "sin(1/2 * x)"?

If you can - what are those?

if it is f''(x) does it mean I have to do the antiderivative 2 times?

If so, -4sin(1/2 * x) would be the 2 antiderivative of sin(1/2 * x)

But in the answer there is -4sen(1/2 * x) +2x +4 -2pi

and I can guess how I get the -2pi but not the 2x and the 4
 
My replies take ages to be approved :S

I have a lot of problems with this integral.

indefinite integral of (e^3x /e^2x +4 )
 
Is the problem:

Determine the function y=f(x),

if f''(x) = sin(1/2 * x); f'(π)=2 and f(π)= 0

If it is then:

Can you find the antiderivative of f"(x)

Can you find the antiderivative of "sin(1/2 * x)"?

If you can - what are those?

Is this website broken or what? I cant reply at all!!!
 
if it is f''(x) does it mean I have to do the antiderivative 2 times?

If so, -4sin(1/2 * x) would be the 2 antiderivative of sin(1/2 * x)

But in the answer there is -4sen(1/2 * x) +2x +4 -2pi

and I can guess how I get the -2pi but not the 2x and the 4
Try reviewing the chapter on antiderivatives, especially where it explains how to deal with the constant "C" from the antiderivatives, when you've been given specific values for each antiderivative. ;)
 
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