Executives at a large multinational corporation want to be able to predict the average revenue per month for the whole corporati
1 answer:
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Answer:
π/10
Step-by-step explanation:
When we rotate the region about the y-axis, we get something that looks like a volcano, or a bundt cake. Instead of slicing this into flat washers, we'll slice it in concentric rings, or "shells".
Each shell has a radius x, a thickness dx, and a height y. The volume of an individual shell is:
dV = 2π r h t
dV = 2π x y dx
Since y = x² − x³:
dV = 2π x (x² − x³) dx
dV = 2π (x³ − x⁴) dx
The total volume is the sum of all the shells from x=0 to x=1.
V = ∫ dV
V = ∫₀¹ 2π (x³ − x⁴) dx
V = 2π (¼ x⁴ − ⅕ x⁵) |₀¹
V = 2π (¼ − ⅕)
V = π/10
Answer:
C.
Step-by-step explanation:
We have been given an image of two parallel lines crossed by a transversal. We are asked to find the measure of m.
We can see that angle that measure 78 degrees and angle m are consecutive interior angles.
Since we know that consecutive interior angles are supplementary, so we can set an equation to find the measure of m as:
Therefore, the value of m is 102 and option C is the correct choice.