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Nicole owns a company that makes luxurious velvet robes. Her total cost to make x robes can be modeled by the function C(x) = 1500 + 3x2, x>0
1) Find the average function
2) How many robes must be produced for the average cost to be minimized?
3) What is the minimum average cost?
Consider a flea of mass 4.5×10-4 at 1.0 m/s midway through its jump. What is its de Broglie wavelength?
four guy wires are to be placed from the top of a 40-meter-tall radio tower to points 12 meters from the center of the
ASSIGNMENT 5. Consider the complete bipartite graph K4,4 with vertex partition (A, B) where A = {a, b, d, f}, B = {g, h, i, j}. Use this to find a maximum weight perfect matching in the graph, and an optimal solution for the dual problem
Susan has 400 yards of fencing and wishes to enclose a rectangular area. Express the area of the rectangle as a function of the width of the rectangle.
(a) Rom Girard's theorem for a triangle, deduce Girard's theorem for the comp, ment of the triangle. (b) From Girard's theorem for a small triangle, deduce Girard's theorem for a tri-angle with one long edge.
In triangle ABC, a = 8, b = 9, and m<C = 135 degree. What is the area of triangle ABC?
From an ordinary deck of 52 cards, cards are drawn one by one, at random and without replacement. What is the probability that the third heart is drawn on the eleventh draw?
an experiment consists of 4 tosses of a coin.denoting the outcomes HHTH,THTT,and assuming that all 16 outcomes are equally likely, find the probability distribution for the total number of heads.
A company wishes to manufacture a box with a volume of 36 square feet that is open on the top and is twice as long as it is wide. Find the dimensions of the box produced from the minimal amount of the material.
The engine in Paul's weed whacker uses an oil-gas mixture
Assuming a 5.25% rate of return, compound quarterly, what wouldd be the accumulated balance in savings plan that has an initial deposit of $1000 and quarterly payments of $500 for 40 years.
MATH233 Individual Project- For the t-value you chose in part 3 above, find the equation of the tangent line to the graph of MIPS(t) at that value of t. What information about the MIPS(t) function can be obtained from the tangent line
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