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let f be the function defined by f(x) = 12x^(2/3) - 4x. a) find the intervals on which f is increasing. b) Find the x and y coordinates of all relative maximum points.
from a rectangular piece of cardboard having dimensions 20 inches x 30 inches, an open box is to be made by removing squares of area x^2 from each corner and turning up the sides.
jason is a sales person at the electronics department of a store. He is 48% short of his goal for the week. His goal is to earn $375. for each cd player he sells he earns $45. how many cd players does he need to sell to meet his goal?
Suppose T is a Mobius transformation such that the image of the real axis under T is the real axis. Prove that T may be written in the form T(z) = (az+b)/(cz+d) with a, b, c, and d real.
Describe how you would calculate the odds of winning the jackpot. Do you think it is worth it to buy a ticket? Why or why not?
Test your formula by evaluating both sides in the case.
A population of animals oscillates sinusoidally between a low of 500 on Janary 1 and a high of 700 on July 1. Graph the population against time. Find a formula for the population P as a function of time, t, measured in months since the start of th..
Describe and give examples of the three methods for solving a system of equations.
Prove the parallelogram equality that is, the sum of the squares of the diagonals of a parallelogram equals the sum of the squares of its sides.
Evaluate the table of values of earning using the given data - Define the variables, determine the slop and vertical intercept, and write an equation to model this data.
Set up different integrals to find the mass of the solid bounded by the equations z=8-2x, z=0, y=0, y=3 and x=0. the density of the solid at (x,y,z) is d(x,y,z)=kx, k>0. evaluate ONE of the integrals.
A ski chalet roof is isosceles triangle and has a vertical angle of 36 degrees. Width of base is 14 m. What is the slant height of roof?
For how many years will the field be contaminated? (Round your answer to the nearest tenth.)
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