Equations help

Question

find the equation for f(x) if f'(x) = 5cos(x) and f(π/2) = 10

Answer 1

Take the anti derivative of both sides to get:

 

f(x) = 5 sin(x) + C

 

Then apply the condition given:

 

f(π/2) = 5 sin(π/2) + C = 10

5 + C = 10

C = 5

 

Therefore,

 

f(x) = 5 sin(x) + 5

Answer 2

Hy Bella,

 

You need to integrate this function.

 

f(x) = 5 sin x + C

 

10 = 5(1) + C

 

C = 5

 

f(x) = 5 sin x + 5

 

Good luck with questions of this type. 

 

Regards,

 

Mayuran