CalcHw Help

[jgrizz]

Could someone assist me with solving this problem please? I am trying to find f from the second derivative.
f ″(x) = 5e^x − 7 sin(x), f(0) = 3, f (pi/2)=0 ..........edited

 

[BigBeachBanana]

Could someone assist me with solving this problem please? I am trying to find f from the second derivative.
f ″(x) = 5ex − 7 sin(x), f(0) = 3, f (pi/2)=0

What you wrote here doesn't make sense.
What's 5ex? Do you mean 5e^x?
You'd also need a condition for the first derivative to solve for the constant. Do you mean f'(0)=3 or f'(pi/2)=0. One of those is missing the prime sign.
Perhaps, post an image of the problem instead. Also, please share what you have tried so far.

 

[Deleted member 4993]

You'd also need a condition for the first derivative to solve for the constant. Do you mean f'(0)=3 or f'(pi/2)=0. One of those is missing the prime sign.
Perhaps, post an image of the problem instead. Also, please share what you have tried so far.

It could be a boundary value problem (like a vibrating string) - however I have not worked through.

 

[jgrizz]

What you wrote here doesn't make sense.
What's 5ex? Do you mean 5e^x?
You'd also need a condition for the first derivative to solve for the constant. Do you mean f'(0)=3 or f'(pi/2)=0. One of those is missing the prime sign.
Perhaps, post an image of the problem instead. Also, please share what you have tried so far.

Sorry, I meant f ″(x) = 5e^x − 7 sin(x). And yes the conditions were f'(0)=3 or f'(pi/2)=0.

 

[Deleted member 4993]

Sorry, I meant f ″(x) = 5e^x − 7 sin(x). And yes the conditions were f'(0)=3 or f'(pi/2)=0.

Are you sure you have an "or" ?

Moreover, now you have prime over both the given conditions! Is that correct?

 

[Steven G]

Are you sure you have an "or" ?

Moreover, now you have prime over both the given conditions! Is that correct?

Why do math students have so much problems with AND and OR? These are words that they use everyday but when it comes to math they forget the meanings.

 

[jgrizz]

Are you sure you have an "or" ?

Moreover, now you have prime over both the given conditions! Is that correct?

Wow, I mistyped the question again I'm sorry. I have been struggling with this topic for the past few days. I am trying to find f for
f ″(x) = 5e^x − 7 sin(x) with conditions f(0)=3, f (pi/2)=0

 

[Steven G]

Shouldn't one of those last two functions have a prime?

 

[Deleted member 4993]

Shouldn't one of those last two functions have a prime?

Not necessarily.

 

[Deleted member 4993]

Could someone assist me with solving this problem please? I am trying to find f from the second derivative.
f ″(x) = 5e^x − 7 sin(x), f(0) = 3, f (pi/2)=0 ..........edited

Have you tried integrating f"(x)

\(\displaystyle \int\left[5*e^x - 7*sin(x)\right]dx \)

........ What do you get?