Answer:
0.089
Step-by-step explanation:
f(x) = -ln(x) and g(x) = x²
Start by graphing the region. The two curves intersect at about (0.653, 0.426), with g(x) on the left and f(x) on the right. The region is the triangular area between the curves and above the x-axis.
If we were to cut the region horizontally (perpendicular to the y-axis), the resulting line is the width of the square cross section. The thickness of this square is dy. So the volume of the square is:
dV = A dy
dV = s² dy
dV = (x₂ − x₁)² dy
dV = (e⁻ʸ − √y)² dy
The total volume is the sum of all the squares from y=0 to y=0.426.
V = ∫ dV
V = ∫₀⁰'⁴²⁶ (e⁻ʸ − √y)² dy
Evaluate with a calculator:
V ≈ 0.089
Answer: 219.39
Step-by-step explanation:
103.00
X 2.13
_______
219.39
<span>D the weight of a bowling ball, which depends on the diameter of the ball, is 8.5 pounds.</span>
To solve this problem, start by plugging in your given n value.
This results in:
k = 100 - 4(60)
Next, simplify the parentheses by multiplying the -4 and the 60 together.
This leaves you with:
k = 100 - 240
To simplify for k, subtract 240 from 100 to get:
k = -140
So your final answer is k = -140 when n = 60
#3)A=L x W
11 7\8=L=4 3\4 x W
11 7\8-4 3\4=w
7 1\8=w
w=
#4)120 x 1.75=210
answer=D
#5)answer=1\17 C