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:
<h2><em><u>
12 is the total area</u></em></h2>
Step-by-step explanation:
A of triangle = 1/2 * b * h
b = 6
h = 2
2 * 6 * 0.5
= 12 * 0.5
<h2><em><u>
= 6</u></em></h2>
A of square = l * w
2 * 2
<h2><em><u>
= 4</u></em></h2>
A of Triangle = 1/2 * b * h
2 * 2 * 0.5 =
4 * 0.5
<h2><em><u>
= 2</u></em></h2>
2 + 4 + 6
= 6 + 6
<h2><em><u>
= 12</u></em></h2>
The <em>correct answer</em> is:
C) x/21
Explanation:
Since Person 1 can complete the entire job (100% = 1/1 = 1) in 21 minutes, this person can complete 1/21 of the job per minute. This is Person 1's rate. If x is the amount of time it takes both people together to finish the job, then the amount of work Person 1 does would be (1/21)(x) = x/21.
Answer:
Mean : 66
Mode: 80
Median:70
Step-by-step explanation:
Mean: sum divided by number of numbers. So, 330 divided by 5 which is 66
Mode most occurring, so 80.
Median arrange in ascending order and find middle value, so 70
