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An object has a circular orbit given by the parametric equations
x (t) = R cos ωty (t) = R sin ωt
R > 0 is the radius of the circle.ω is the angular velocity.
a. Write the formula for the speed of this object in terms of the radius, R. and angular velocity, ω (you can type ω for this symbol in the answer box). Your answer must be completely simplified.
b. List the first three times t ≥ 0 the object is moving vertically and upward.
c. List the first three times t ≥ 0 the object is moving horizontally and to the right.
A 1400 {rm kg} car traveling at a speed of 40 {rm m/s} skids to a halt on wet concrete where mu_k = 0.30. How long are the skid marks?
Julie's mail-order CD club charges a shipping and handling fee of $2.50 plus $0.75 per CD for each order shipped. Write the shipping and handling fee S in terms of the number n of CDs in the order.
a cable 16m long runs from the top of a utility pole to a point on the ground 4m from the base of the pole. How tall us the utility pole, to the nearest tenth
Find symmetric equations for the line through the points p (1, 1, -3) and Q (2,-1,1). Find an equation for the plane through P (2, 0, 1) and parallel to the line x = 3t, y = 2 - t, z = 3 + 4t.
A nuclear tower is a hyperboloid that is a hyperbola rotated around its conjugate axis. The equation of hyperbola is X^2/100^2 - y^2/150^2 = 1. The tower is 500 feet tall, the top is 150 feet above the center of the hyperbola and the base is 350 f..
Find the measure of each angle of the triangle
exams in a math class. If her scores on the first four exams are 70, 68, 84, and 82, then answer the following questions.
The media access control (MAC) address of a network interface is a unique address. Each network interface relating to its MAC fits the criteria of a function because each device has its own, unique MAC address. Describe an everyday situation in your ..
let e f be 2 points in the plane such that ef has length 1 and let l be a continuous curve from e to f. a chord of l
Explain all the different factors that might cause a confidence interval for μy/x0 to increase in width. [There are five. Look at the formula for the confidence interval, but please EXPLAIN THE FACTORS THAT COULD MAKE THE INTERVAL WIDER IN PLAIN ENGL..
a trucks value y sek is assumed to be a function of the cars age x years according to y750000 middot 0 80exponentx it
A cylinder is to be constructed so that it will have a minimum surface area while holding 128 pi cubic feet of gasoline. Determine the necessary dimmensions. Be sure to verify your answers indeed guarantee that a minimization has been accomplished..
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