<span>first, we are going to define variables as the following:
a = 0
a = π/2
n = 4 rectangles
Δx = [ b - a ] / n ------>Δx = [ π/2 - 0 ] / 4 = π/8
right endpoints :
sum( seq( 4 cos(x) * π/8 , x , 0+π/8 , π/2 , π/8 ) ) = 3.163065 underestimate
left endpoints:
sum( seq( 4 cos(x) * π/8 , x , 0 , π/2-(π/8) , π/8 ) ) = 4.733861 overestimate
the reason because the actual estimate by integral as the following:
π/2
∫ 4cos(x) dx = 4
0</span>
Answer: C) x = 2
2^{2x + 2} = 2^{3x}
Since both terms (above) have the same base, set the exponents to be equal:
2x + 2 = 3x (Rearrange to solve for x)
x = 2
∴ x = 2
6%=0.06
if you want to know how much he paid for the sales taxes you multiply 7.5 by 0.06
7.5 . 0.06= 0.45
7.5+0.45=7.95
8>7.95
Jay have enough money to buy the book
Answer:
-16x + 14 4/5
Step-by-step explanation:
Perform the indicated multiplication. We get:
2x + 14 - 18x + 4/5
Next, combine like terms: We get:
-16x + 14 4/5
The answer is x >_ -2 and x >_ 7.