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Pre-calculus math problems.
1) (section Quadratic functions)- A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. Four hundred feet of fencing is used. Find the dimensions of the playground that maximize the total enclosed area. What is the maximum area?
2) ( Section Polynomials function and their graphs)- f(x) = (x + 3)(x + 1)^3(x + 4)
3)( section Polynomial and rational function)-
f(x) = x - 4
----------------------
x^2 - x - 6
A company makes two soft drinks A and B. Each liter of A requires 4 hours processing and 4 hours distillation while each liter of B requires 5 hours processing and 3 hours distillation.
snell's law total internal reflection between two materials is seen to occur if a critical angle of 60° is exceeded. if the index of refraction of the material that the light is entering is 1.98, find the index of refraction of the material in whi..
A tank of water has a base a circle of radius 2 meters and vertical sides. If water leaves the tank at a rate of 9 liters per minute, how fast is the water level falling in centimeters per hour?
The result is then folded in the obvious fashion. (If it isn't obvious, order one with sausage and pepperoni and invite you TA and UA to investigate.) How does one obtain the box of largest volume?
Let V be a vector space and u, v, w belong to V. rove that u-v, v-w, and w-u form a linearly dependent set.
Find the equation for the cubic function, f(x), with roots at 5, 4 and -4, and has a y-intercept at (0,3)
Consider the following linear mapping from C[-pi,pi] into itself: L(f)=integral from -pi to pi of G(x),h(y),f(y)dy for any function f(x) in C[-pi,pi].
mr. robie owner of the black cat bakery owes 21600 on a 4.5 90 day note. on day 10 he makes a partial payment of 1600.
Write the equation of the line in BOTH point-slope and slope-intercept form.
Define, in your own words, a rational expression. Describe the process for finding an equivalent rational expression. Explain why it might be necessary to find an equivalent rational expression, and give an example.
A jeweler has three small solid spheres made of silver, of radius 6 mm, 3 mm, and 3 mm. He decides to melt these down and make just one sphere out of them. What will the radius of this larger sphere be?
A farmer plans to fence a rectangular pasture adjacent to a river. The pasture must contain 180,000 square meters. What dimensions would require the least amount of fencing if no fencing is needed along the river?
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