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The demand equation for a product is p = 45 - .01q. Write the revenue as a function of q and find the quantity that maximizes revenue. What price corresponds to this quantity? What is the total revenue at this price?
The base of an aquarium with given volume V=465 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials. (Enter your ..
What is the probability that x=5
If it costs Acme Manufacturing C dollars per hour to operate its golf ball division, and an analyst has determined that C is related to the number of golf balls produced per hour, x, by the equation C = 0.009x squared - 1.8x + 100.
a tree on a hillside casts a shadow 209 ft down a hill. If the angle of incline of the hillside is 22 to the horizontal and the angle of elevation of the sun is 54, find the height of the tree.
If a = i + 7j + k and b = i + 13j + k , find a unit vector with positive first coordinate orthogonal to both a and b in terms of i, j, and k.
If F is a field, prove that the field of fractions of F[[x]] is the ring F((x)) of formal Laurent series. Show that the field of fractions of the power series ring Z[[x]] is properly contained in the field of Laurent series Q((x)).
what is the measure of the angle formed by the guy wire and the pole? Assume that the ground is level.
Given lim as x approaches 0- f(x) = Ll , lim as x approaches 0+ f(x) = Lr , and Ll ≠ Lr, which of the following statements is true?
A normal human body temperature is 98.6°F. What is the corresponding Kelvin temperature?
WHat dosage maximizes the temperature change? The sensitivity of the body to the drug is defined as dT/dD. What dosage maximizes sensitivity?
Find the amount of the winning bid if there were 7 bidders.
Show that if we change the IVP to x(0) = 1, the same system , that is x' = 3 x^2/3, still has a unique solution on the interval ( minus infinity, plus infinity).
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