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Find the absolute max and min values of f(x)=l+6x-3x^3 over the closed interval [0,4].
Find the magnitude of the force in newtons needed to supply 100 newton-meters of torque to the bolt.
An airplane is flying at an altitude of 8.4 miles towards a point directly over an observer. If the speed of the plane is 521 miles per hour, find the rate at which the angle of observation,θ,changing by at the moment when the angle is 27 degrees
What is the location of someone standing on the first level in relation to someone standing on the third level?
If an open box has a square base and a volume of 97 in.3 and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction. (Round your answers to two decimal places.)
A large research hospital has accumulated statistical data on its patients for an extended period. Researchers have determined that patients who are smokers have an 18% chance of contracting a serous illness such as heart disease
Let A be the real 2x2 matrix with bc greater than or equal to 0. Prove there exists a real 2x2 invertible matrix S so that S^-1 A S is either diagonal or of the form
Let W be the space spanned by f = sinx and g = cosx. Show that for any value of theta, f, = sin(x + theta) and g_1 = cos (x + theta) vectors in W.
Analysis the graph of the derivative.
of ground beef at $2.49,three and one half lbs. of macaroni sala at $2.19lb, four and one fourth of chip dip at $2.39lb, and 3 bas of chips for 1.99 each. what was his chang from $50?
Calculate the mean and standard deviation of the distribution for your example. Binomial and Poisson Distributions in Real Life
A point on the bank directly across the river is sighted from another point 200 feet downstream at an angle of 67° 13' . Find the width of the river.
the depth of a pond is 180 cm is being reduced by 1cm per week. the depth of the second pond is a 160 cm and is being by 1/2 per week. if the depths of both ponds continue to be reduced at these constant rates, in how many weeks will the ponds be ..
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