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1. A hole is cut through the center of a sphere of radius r. The height of the remaining spherical ring is h. Find the volume of the ring (two ways), and show that it is independent of the radius of the sphere.
2. Set up and evaluate the definite integral that gives the length of the graph of f (x) = (e3x + e-3x)/6 over the interval 0 ≤ x ≤ 2.
3. Set up and evaluate the definite integral that gives the surface area of a sphere of radius a. (I suggest taking the curve x2 + y2 = a2 about the x-axis.)
The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is less than 50.5 min.
evaluate an amount of gravel from the given ratio.concrete is made by mixing gravel cement and sand in the ratio of
after an aggressive marketing campaign in the local community poes tv sales amp repair co. discovered that their cost
A scale model of a museum made of cubic blocks. In my answer document sketch the view as it would appear from 2nd avenue.
Groups: Isomorphisms and Mappings, Let G be the additive group of all real numbers, and G' be the group of all positive real numbers under multiplication
There are four basket-ball players A, B, C, D. Initially, the ball iswith A. The ball is always passed from one person to a different person. In how many ways can the ball come back to A after sevenpasses? (For example A → C → B → D → A → B → C → ..
is there a significant difference in automobile insurance rates in different cities of comparable size in the u.s.? to
the entries in the 3 x 3 array are all the digits from 1 to 9 arranged so that the entries in every row and every
Suppose that for a given data set, s2x=440,s2y=820,r=0.35,n=7 Then the regression standard error is:
using a pair of compasses a ruler and a pencil. construct a triangle CDE in which DE=10cm, DC+8cm and CDE= 45 degrees. construct CF perpendicular to DE such that F lies on DE using a protractor, measure and state the size of DCE
Which of the following can be solved by using a system of equations? Laura and Mark went to the movies and spent $29 on movie tickets and snacks. Mark paid $10 more than Laura. How much did each spend?
An art gallery receives a commission of 7% for each piece of artwork sold. If the art gallery received a commission of $77 for selling a sculpture, which equation could be used to find p, the amount the sculpture sold for?
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