The graph of f is given in the figure to the right. let a(x)equals=integral from 0 to x f left parenthesis t right parenthesis font size decreased by 3 dt∫0xf(t) dt and evaluate a(4), a(8), a(12), and a(14)

Step-by-step explanation:

we are given

Calculation of A(4):

we can plug x=4

Since, this curve is below x-axis

so, the value of integral must be negative

and it is quarter of circle

so, we can find area of quarter circle

radius =4

Calculation of A(8):

we can plug x=8

we can break into two parts

now, we can find area and then combine them

Calculation of A(12):

we can plug x=12

we can break into two parts

now, we can find area and then combine them

Calculation of A(14):

we can plug x=14

we can break into two parts

now, we can find area and then combine them

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15

i don't know

step-by-step explanation: