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Consider the functions f(x)= square root of x and g(x)= 7x+b. In the standard (x,y) coordinate plane, y= f(g(x)) passes through (4,6). What is the value of b?
Determine the braking force required to slow the train of cars by this ammount by using the following method; the laws of motion and d'alemberts principle.
in the liquid limit test, the moisture content corresponds to 20, 25, & 35. and the blows are 35%, 2% & 15%. what is the liquid limit if the soil?
A sample originally has a mass of 800 mg. Find a formula for the mass remaining after t days.
Find a function that relates dollars to Euros.
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..
Prove that the projection onto the plane Y O Z of the intersection curve of an elliptical paraboloid x = y^2 + z^2 with a plane x - 2y + 4z = 0 is a circle of radius R = 3 centered at M (0, 1, -2).
Consider the function f(x,y,z)= e^xy cos(x+z). What is the directional derivative for f at the point P(0, -pie/6, pie/3) in the direction u parallel to i - j + 2k
Problem: For each series, find an explicit formula for the sequence of partial sums and determine if the series converges.
Determine the maximum and minimum values for the following set.
to determine the number of deer in a game preserve, a conservationalist catches 394 deer, tags them and lets them loose. Later, 492 deer are caught, 246 of them are tagged, How many deer are in the preserve?
how can we solve an ordinary second-order non-homogeneous euler equation by laplace tansfomation?
suppose we first generate a random variable U from a uniform distribution on the interval(0,1).then we define a transformation x=(1-U)^-1/theta where theta>0. next suppose that x1,x2,x3,...are a random variables having the same distribution x.what..
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