Answer: 4.5
<u>Step-by-step explanation:</u>
First, find the points of intersection by solving the system.
y = x² + 2x + 4
y = x + 6
Solve by substitution:
x² + 2x + 4 = x + 6 ⇒ x² + x - 2 = 0 ⇒ (x + 2)(x - 1) = 0 ⇒ x = -2, x = 1
Now, integrate from x = -2 to x = 1
<em>the bottom of the integral is -2 </em>
=
=
= 
= 
= 
= 
= -3 + 1.5 + 6
= 4.5
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Answer:
$288.00
Step-by-step explanation:
$360.00
-
20%
=$288.00
Answer:
b. g(x)
Step-by-step explanation:
f(x) = (x-13)^4 -2
(x-13)^4 is always positive or zero so the smallest f(x) can be is -2
g(x) = 3x^3 +2
x^3 can get as negative as it wants as x goes to negative infinity this goes to negative infinity
g(x) goes to negative infinity
f(x) min is -2
g(x) min is - infinity
g(x) has the smallest minimum value