Please answer please correct answer
2 answers:
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Answer:
∫₋₃¹ π y⁴ dy
Step-by-step explanation:
If we slice the solid shape, we get circular cross sections or disks. The thickness of each disk is dy. The radius of each disk is x. So the volume of each disk is:
dV = π r² h
dV = π x² dy
Since x = y²:
dV = π y⁴ dy
The total volume is the sum of all the disks from y=-3 to y=1.
V = ∫ dV
V = ∫₋₃¹ π y⁴ dy
Answer:
To easily solve this question, we must realize that the graph of the relation is very similar to that of the expression
y = √(x-a) , where a>0
If we take a look at the image attached, we have plotted the graph of
y = √(x-1) , and its correspondent inverse function.
This means that the answer is the first option
