The functions f and g are integrable and;
(2 →4) ∫ f(x)dx = 4, (2 →7) ∫ f(x)dx = -5, and (2 →7) ∫ g(x)dx = 2.
Use these to complete parts (a) through (e).

a. (4 → 4) ∫ f(x)dx
b. (7 → 2) ∫ g(x)dx
c. (2 → 7) ∫ 4g(x)dx
d. (4 → 7) ∫ f(x)dx
e. (2 → 7) ∫ [g(x)−f(x)]dx

See explanation

Step-by-step explanation:

Given

a.

b.

c.

d.

Then

e.

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.