Let's divide the shaded region into two areas:
area 1: x = 0 ---> x = 2
ares 2: x = 2 ---> x = 4
In area 1, we need to find the area under g(x) = x and in area 2, we need to find the area between g(x) = x and f(x) = (x - 2)^2. Now let's set up the integrals needed to find the areas.
Area 1:

Area 2:





Therefore, the area of the shaded portion of the graph is
A = A1 + A2 = 5.34
Answer:
B
Step-by-step explanation:
Product refers to multiplication and B is the only one the uses multiplication with 8.
Answer:
B
Step-by-step explanation:
Using the cofunction identity
sin x = cos(90 - x)
Given
sin(3x + 19) = cos(5x - 25), then
3x + 19 = 90 - (5x - 25)
3x + 19 = 90 - 5x + 25
3x + 19 = 115 - 5x ( add 5x to both sides )
8x + 19 = 115 ( subtract 19 from both sides )
8x = 96 ( divide both sides by 8 )
x = 12 → B