Determine values of x and h which minimize surface area
You wish to make the closed box has the square base with side x and height h, and the volume of 8 cubic feet. Determine values of x and h which minimize surface area. Use second derivative test.
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Amount invested at 6% is 3000 less than amount invested at 5%. Determine amount invested at every rate. Setup suitable system and solve.
When price reduced to $9, average attendance rose to 31,000. Suppose that attendance is linearly connected to ticket price, find ticket price that would maximize revenue?
Given function y = A cos ( Bx plus minus C) + D, amplitude is | A |, period is 2 Π/B, phase shift ( horizontal) is C / B and vertical shift is D. Determine horizontal shift of function. y = 3 + 2 cos ( 3x -cos Π/2).
In 2008, median price of the compact car was $16,800. Rate of increase is supposed to be 4% per year. What we can expect price of such car be in 2010?
True or false? Provide proofs, arguments, or instances. If f'(a) = 0 and f"(a) = 0, f doesn't have the minimum or maximum at a. The differential equation N'(t) = 1/N(t) explains the growing population.
The signal light on the ship is the spotlight with parallel reflected light rays. Determine equation of parabola using axis (right positive) and vertex at origin
The car is on the driveway which is inclined 4° to horizontal. The force of 480 lb is needed to keep car from rolling down driveway. Determine force car exerts against driveway.
Determine relationship between a, b, A, and B which maximizes productivity where f(x,y)=cx^(a)y(b), a + b =1, and Ax + By=M is budget constraint.
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