Calculus Volume 1
17th Edition
ISBN: 9781938168024
Author: Strang, Gilbert
Publisher: OpenStax College
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Chapter 3.5, Problem 195E
For the following exercises, find
195.
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Volume of Dubai Cayan Tower
An electronics company manufactures batches of n circuit boards. Before a batch is approved for shipment,
m boards are randomly selected from the batch and tested. The batch is rejected if more than d boards in
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a) A batch actually contains six faulty circuit boards. Find the probability that the batch is rejected when
n = 20, m = 5, and d = 1.
b) A batch actually contains nine faulty circuit boards. Find the probability that the batch is rejected when
n = 30, m = 10, and d = 1.
10. [-/3 Points]
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Consider the following.
aR-
br
(a) Set up an integral for the volume a solid torus (the donut-shaped solid shown in the figure) with radii br and aR. (Let a 8 and b = 2.)
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(b) By interpreting the integral as an area, find the volume V of the torus.
V =
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