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1. A box is to be constructed from a sheet of cardboard that is 20 cm by 60 cm, by cutting out squares of length x by x from each corner and bending up the sides. What is the maximum volume this box could have?
2. Find the amplitude and period of y = -3cos(2x + 3).
Use your calculator to graph the function and state its symmetry.
Find the first positive x-intercept using your calculator's zero function.
3. Find two functions f(x) and g(x) such that f[g(x)] = x but g[f(x)] does not equal x.
4. State the vertical, horizontal asymptotes and zeros of the rational function, f(x) = x2+3x+2x2+5x+4.
Why is there no zero at x = -1?
5. Give an example and explain why a polynomial can have fewer x-intercepts than its number of roots.
A ladder leans against wall with the base of the ladder 16 ft from the wall and with the top of the ladder touching the top of the wall. The ladder is pushed towards the wall so that the top 5 ft of the ladder stick up over the wall. How far was the ..
What are the similarities and differences with simple algebra and boolean algebra?
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?
Find the volume of a solid generated by revolving the region enclosed
Find the elasticity of demand E for the demand function q = 40,000 - 10p2.
A triangle has three angles, R, S, and T. Angle T is 40° greater than angle S. Angle R is 8 times angle S. What is the measure of each angle?
Problem 10: Gaussian distribution A binary transmission system transmits a signal X(
in george eckes lecture on ten questions regarding six sigma he explains that six sigma can be applied to all
use a combinatorial proof to show the summation of k=0 to the P elements- (n/p) (m/[p-k])=([n+m]/p)
Compute the number of calenders that should be ordered. The J&B Card Shop sells calendars depicting a different Colonial scene each month. The once-a-year order for each year's calendar arrives in September.
How many units should the company sell per month in order to break even, assuming that it can sell up to 5,000 units per month at the planned price?
Calculate probability values.
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