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A ramp is described by the function y = e^(-x) ; x ≥ 0. For positive times, a disk of radius a rolls without slipping down this ramp. It does so in such a way that the point of contact, denoted by vectorC(t) is parameterized by ‹t, e^(-t)›. Find vector r(t), the position of the center of the disk. Then compute the velocity and the speed of the center.
Solve each of the following equations for the unknown variable.
out of 300 computers, 22 are defective. how many defective computers would you expect in a group of 30,000.
Calculating the probability values
Decreasing cube. Each of the three dimensions of a cube with sides of length s centimeters is decreased by a whole number of centimeters. The new volume in cubic centimeters is given by V(s) =s^3 - 13s^2+ 54s -72.
find the probability that among six companies surveyed at random, the number that give employees 4 weeks of vacation after 15 years of employment is anywhere from 2 to 5.
The length of a rectangle is 8 cm greater than its width. Find the dimensions of the rectangle if its area is 105 cm2.
A rectangular table is two times as long as it is wide. If the area is 17ft^2, find the length and the width of the table.
To purchase additional park sites, the Anderson County treasurer invested $30,000 in an account that pays 8% annual interest, compounded quarterly. What is the value of the investment after 5 years? Use the Compound Interest Table. Round to the ne..
Continuous Probability Distribution - Independent Events, A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02.
A right triangle has one leg that is twice as long as the other leg. The hypotenuse is 2 square root 5 inches. Find the length of the other leg.
Find the volume of the solid in the first octant bounded by the surfaces of z = 1 - y^2, y = 2, and x = 3.
He collects data on 25 individuals' television viewing habits and finds that the mean number of hours that the 25 people spent watching television was 23.7 hours with a standard deviation of 7.5 hours, can we conclude at the 1% significance level ..
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