Can anyone just explain the steps to this problem I keep messing up and I need some guidance. Thank you!

(B) 1

Step-by-step explanation:

g(x) = ∫₂ˣ f(t) dt

Use second fundamental theorem of calculus to find g'(x).

g'(x) = f(x) d(x)/dx − f(2) d(2)/dx

g'(x) = f(x)

g(x) is a maximum when g'(x) = 0.

0 = f(x)

x = 3

So the maximum value of g(x) is:

g(3) = ∫₂³ f(t) dt

g(3) = ½ (2) (1)

g(3) = 1

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

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation: