$200 without the discount and he payed $136.
The slope of f(x) can be computed as
(f(4) -f(2))/(4 -2) = (12 -4)/(2) = 8/2 = 4
The slope of g(x) is the coefficient of x
10
The slope of h(x) is
(1 level)/(1 play) = 1
The function with the largest slope is g(x).
Answer: An error was made! All correlation coefficients: -1 ≤ r ≤ 1.
To evaluate 17 int (sin^2 (x) cos^3(x))
From Trig identity. Cos^2(x) + sin^2(x) =1. Cos^2(x) = 1 - sin^2 (x)
Cos^3(x) = cosx * (1 - sin^2 (x)) = cosx - cosxsin^2x
So we have 17 int (sin^2x(cosx - cosxsin^2x))
int (sin^2x(cosx)dx - int (sin^4xcosx)dx. ----------(1)
Let u = sinx then du = cosxdx
Substituting into (1) we have
int (u^2du) - int (u^4du)
u^3/3 - u^5/5
Substitute value for u we have
(sinx)^3/3 - (sinx)^5/5
Hence we have 17 [ sin^3x/3 - sin^5x/5]
If the glasses were origanum 40, and were on sale for 26,we minus them from eachother to find out how much money was saved. So 40-26= 14, if $14 was saved we put 14 over the original price and times it buy 100 14/40x100= 35%
So 35% was saved. 100-35= 65. Therefore 65% of the original price was paid and 35% was saved.