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Find the volume generated by rotating the given region about the specified line.
R1 about x = 0.
A manufacturer drills a hole through the center of a metal sphere of radius R = 4. The hole has a radius r. What value of r will produce a ring whose volume is exactly half the volume of the sphere?
This question is from Mathematics as well as it is about writing a number set in builder notation form.
What is the difference between prime numbers and composite numbers? How are prime numbers and composite numbers related? Prime numbers are often used in cryptography.
The problem states: Find dw/dt (a) using the appropriate chain rule and (b) by converting w to a function of t before differentiating.
One professor grades homework by randomly choosing 5 out of 15 homework problems to grade.
One card is selected from the box at random, and the color on one side is observed. If this side is green, what is the probability that the other side of the card is also green?
Boat and stream the speed of boat A is 2 km/h less than the speed of the boat B. If the speed of the current is 1/3rd of the speed of the boat A, what is the speed of boat B?
Let G be an open subset of C ( complex plane) and let P be a polygon in G from a to b. Use the following 2 theorems to show that there is a polygon Q in G from a to b which is composed of line segments which are parallel to either the real or imag..
Composition of Functions and Isomorphisms, I can't prove the following statements about functions f:A->B and g:B->C, 1. If gof is one-to-one then so is f.
According to statistics the distribution of ages for licensed drivers has a mean of 44.5 years and a standard deviation of 18.7 years. Assuming the distribution of ages is normally distributed, what percentage of the drivers are the following.
Two circles of different radii touch internally at C. A tangent at P on the smaller inner circle touches the larger circle at A and B. Join ABC. Prove that CP bisects angle
A poster is to have an area of 230 in2 with 2 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area?
Compare your approximation with the acutal value of the tangent of 1/4 radian as shown on a calculator.
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