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Find the radius and height of the open right circular cylinder of largest surface area that can be inscribed in a sphere of radius a.
What is the largest surface area.
A pulley is suspended 13.5 m above a small bucket of cement on the ground. A rope is put over the pulley. One end of the rope is tied to the bucket and the other end dangles loosely to the ground.
An equilateral triangle has vertices at (0,0) and (6,0) in a coordinate plane. what are the coordinates of the third vertex?
Let S={1,2,3,4,5,6,7,8}. Test the following binary relation on S for reflexivity, symmetry, antisymmetry, and transitivity
Use the Laplace transform to solve the given system of differential equations.(d^2 x)/(dt^2 )+(d^2 y)/(dt^2 )=t^(2 ) (d^2 x)/(dt^2 )-(d^2 y)/(dt^2 )=4t x(0)=8 x^' (0)=0 y(0)=0 y^' (0)
How much money (total) do you have after the 5 years pass and how much do you earn in interest over the 5 years?
He collects data on 25 individuals' television viewing habits and finds that the mean number of hours that the 25 people spent watching television was 23.7 hours with a standard deviation of 7.5 hours, can we conclude at the 1% significance level ..
A binary message is sent over a noisy channel. The message is a sequence x1, x2, . . . , xn of n bits (xi 2 {0, 1}). Since the channel is noisy, there is a chance that any bit might be corrupted, resulting in an error (a 0 becomes a 1 or vice vers..
Find the elasticity of demand E for the demand function q = 40,000 - 10p2.
What is the probability that at least 50 customers pay in cash? What is the probability that no more than 15 customers pay in cash? What is the probability that more than 20 and less than 40 customers pay in cash?
Formulate an appropriate hypothesis and state your conclusion.
Explain the concept of inverse variation. Provide two examples. What is the vertical asymptote for the function y = ( x^2 - 4) / ( x - 2 )?
A conical tank (with vertex down) is 12 feet across the top and 14 feet deep. Water is flowing into the tank at the rate of 11 cubic feet per minute, find the rate of change of depth of water when the water is 6ft deep.
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