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A stone thrown upward from the top of a 80 ft cliff at 118 ft/sec eventually falls to the beach below. (For this problem take the acceleration due to gravity to be -32 ft/sec; take upwards to be a positive direction.)
a.) How long does the stone take to reach it's highest point?b.) What is its maximum height? c.) How long before the stone hits the beach? d.) What is the velocity of the stone on impact?
Consider a Lagrangian system, with configuration space R^n, given by (x^1, ... x^n); and Lagrangian L(x', ..., x^n; v^1, ... v^n). Now consider a new system of coordinates, (y^1,... ^n),
Two balls are drawn (without replacement) from an urn that contains four red balls, five green balls, and seven white balls
illustrtes the impact of diversification. ignores the probability distribution of cash flows. can only measure one outcome at a time
A metal storage tank with a mximum volume of 500 m^3 is to be constructed in the shape of a right circular sylinder surmounted by a hemisphere. What radial and height dimensions will require the least amount of material?
Two planes left an airport at noon. one flew east at a certain speed and the other flew west at twice the speed. The planes were 2700 mi. apart in 3 hours. how fast was each plane flying?
Write as a system of 2 equations in 2 unknowns. Solve each system by substitution and show each step. Perimeter of a rectangle : the length of a rectangular swimming pool is 15 feet longer than the width.
Determine the type I and type II error
A plane flying horizontally at an altitude of 3 mi and a speed of 485 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 5 mi away from the station. Please round yo..
For John's ordering policy to be correct, what would the carrying cost as a percentage of the unit cost have to be? If the carrying cost were 10% of the cost, what would the optimal order quantity be?
The ice sculpture is a solid with base R. Cross sections of the sculpture perpendicular to the x-axis are right triangles with the hypotenuse of the triangle in the base. Find the volume of ice that is discarded when creating the sculpture.
A union official wanted to get an idea of whether a majority of workers at a large corporation would favor a contract proposal. She surveyed 500 workers and found that 240 did not favor the proposal.
show that A is an ideal of R and describe the cosets in R/A
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