F is a differentiable function for all x. Which of the following statements must be true? a. d/dx ∫ f(x)dx=f(x)
b. d/dx ∫ f(t)dt= - f(x)
c. ∫ f′(x)dx=−f(x)

The limits in the integral of the options are missing. They are :

a).

b).

c).

Solution:

We known that

a).  

     = 0 - 0

     = 0

Hence it is true.

b).  

      = f(x)

Hence it is true.

c).

Hence it is false.

Therefore option a) and b). are true.

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a