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Linear And Angular Speed Problem 1. A particle moves along a circle (that has a radius of r) a distance of s in the time, t. r = 4 centimeters s = What is the linear and angular speed of the particle?
The burial cloth of an Egyptian mummy is estimated to contain 59% of the carbon-14 it contained originally. How long ago was the mummy buried? (The half-life of carbon-14 is 5730 years.)
If the current levels of input are x = 10 and y = 20, use calculus to estimate the change in input y that should be made to offset an increase of 0.5 in input x so that output will be maintained at its current level.
Prove directly that the eigenvalues of A are purely imaginary. Prove that if x and y are eigenvalues associated to distinct eigenvalues, then they are orthogonal, i.e. x^H*y = 0
Debra drove 430 miles using 18 gallons of gas. At this rate, how many gallons of gas would she need to drive miles 301?
Clear glass costs $3 per square foot and stained glass costs $10 per square foot. Express the cost of the window as a function of the radius of the stained glass pane.
at 2p.m., the shadow of a lighthouse is 19 feet long and the angle of elevation is 75 degrees. find the height of the lighthouse.
find an equation in the x and y whoes graph is the path of the particle. then find the particle's velocity and acceleration vectors at t=2
jason leaves Detroit at 2pm and drives at a constant speed west along I-96. He passes Ann Arbor, 40 miles from Detroit, at 2:50 pm. What is the distance in terms of the tiime elapsed.
Last season, a pair of jeans cost $44.95. This season, the price of the jeans increased by 15 percent. Later in the season, the jeans were put on sale for 15 percent off.
find the x intercept of the tangent line at x=-1
the dimensions of a rectangle are such that its length is 3 in more than its width. if the length were doubled and if the width were increased by 1 in, the area would be increased by 104 in what are the length and width of the rectangle?
151 g of water at 79.0°C are mixed with 75.2 g of water at 23.0°C. If no heat is lost to the surroundings, what is the final temperature of the water? The specific heat of water is 4.184 J/g·°C.
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