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A peregrine falcon is circling, looking for prey. The position of the falcon at time t is given by the vector-valued function r(t) = (5 sin (3t), 5 cos (3t), 9)
(a) Compute the velocity at time t.
(b) Compute the acceleration at time t.
(c) Compute the distance the falcon travels between t = 0 and t = π.
(d) At time t = π, is the falcon speeding up, slowing down, or staying constant speed?
Failures per day for a computer network follow the Poisson distribution with mean 0.3. What is the probability that two or more failures occur in
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Set up an equation for the perimeter involving only L, the length of the rectangle. b. solve this equation algebraically to find the length of the rectangle. Find the width as well. show your work
In planning for a major redesign, Beth collected data at her store on several consecutive Saturday mornings. She noticed that customers arrived at the checkout at a rate of approximately 100 per hour. Fully 20 percent of the customers had 10 items..
A wildlife biologist is interested in a warren, which is where a herd (group) of rabbits lives. She notices that the time rate of change in the rabbit population, R, is proportional to the square root of R.
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imagine you are tutoring a classmate in the four algebraic processes. define each process and provide an example of
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Two tugboats are pulling a disabled speedboat into port with forces of 1240 pounds and 1480 pounds. The angle between these forces is 28.2 degrees. Find the direction and magnitude of the equilibrant.
A regression analysis
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Bert is planning to open a savings account that earns 1.6% simple interest yearly. He wants to earn exactly $288 in interest after 3 years. How much money should he deposit?
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