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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.
Queuing Analysis explained in this solution. The Riverview Clinic has two general practitioners who see patients daily. An average of six patients arrive at the clinic per hour. Each doctor spends an average of 15 minutes with a patient.
Given a line segment of length 1 inch, how do I construct a line segment of squareroot(6), squareroot(7), squareroot(8), etc. Also, given a wire of total length 4236 feet, how do I construct a golden triangle from the wire?
A poster has an area of 190 inches squared with 1 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area?
Evaluate the average value and RMS value of the given function - Find the average value of the function i = 15(1-e (-1/2)t ) from t = 0 to t= 4.
A stamp collection consists of 3, 8, and 15 cent stamps. The number of 8 cent stamps is one less than triple the number of 3 cent stamps. The number of 15 cent stamps is six less than the number of 8 cent stamps.
Keith has miles remaining after minutes of driving. How many miles will be remaining after minutes of driving?
Create an example of a real-life word problem, which can be solved using algebraic inequalities. Write the problem, and then solve the problem.
A dance team knows 17 routines of which 9 are tap, 5 are ballet, and 3 are modern. The program can consist of any five routines. In how many ways can the manager choose which routines to present if there are no restrictions?
Complete the given ordered pairs so that each ordered pair satisfies the given equation. Determine the equation of each line. Write the answer in standard form using only integers as the coefficients.
Signature loans may not exceed 13% of the funds invested in all loans (automobile, furniture, other secured, and signature loans). Furniture loans plus other secured loans may not exceed the automobile loans.
If n points are equally spaced on the circumference of a circle, what is the probability that three points chosen at random will form a right triangle?
Combining the information above, find the probability that the xth opportunity is a close call (that it occurs immediately before the nth shock).
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