Answer:
F' : (-5,5)
G' : (0,5)
H' : (0,9)
Step-by-step explanation:
<33
7x - 1 + 6x - 1 = 180
add the x’s, add the numbers
13x - 2 = 180
add 2 to 180
13x = 182
divide 182 by 13
x = 14
He was traveling 63 mph
divide 315 by 5 and you get 63
check your answer by multiplying his speed (63mph) by 5 (number of hours)
Answer:
c]
Step-by-step explanation:

Setting

, you have

. Then the integral becomes




Now,

in general. But since we want our substitution

to be invertible, we are tacitly assuming that we're working over a restricted domain. In particular, this means

, which implies that

, or equivalently that

. Over this domain,

, so

.
Long story short, this allows us to go from

to


Computing the remaining integral isn't difficult. Expand the numerator with the Pythagorean identity to get

Then integrate term-by-term to get


Now undo the substitution to get the antiderivative back in terms of

.

and using basic trigonometric properties (e.g. Pythagorean theorem) this reduces to