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Farmer John has to build a fence to enclose a rectangular field with the area 120,000 square meters. fencing costs $6 per meter. the field will border Farmer Jane's property and farmer Jane has agreed to pay for half the cost of the fencing on the side that borders her property. What dimensions will minimize Farmer Johns costs? What are Farmer John's minimum possible costs? Verify that you have found an absolute minimum(be complete)
Find the area S of the region bounded by the parabola y = 3x2, the tangent line to this parabola at (4, 48), and the x-axis.
The value of an car after t years is given by the function V(t)=25,000-1500t. What is the value of the automobile 3 years after it is purchased?
Two minor league baseball players got a total of 300 hits. Washington got 12 more hits then Sanchez. Find the number of hits for each player.
For each of the described curves, decide if the curve would be more easily given by a polar equation or a Cartesian equation. Then write an equation for the curve.
The store owner can order jackets in lot sizes of 10 units. How many jackets should the store owner order if she wants to maximize the expected profit?
a solid is generated by revolving about the x-axis the region bounded by the graph of the positive continuous function y=f(x), the x-axis, and the fixed line x=a and the variable line x=b, b>a.
Test using the traditional approach with α = 0.05
Suppose that you select 3 cards without replacement from an ordinary deck of playing cards. If the first card that you select is a spade and the second is a heart, what is the probability that the third card that you select is a spade?
Mathematicians have been searching for a formula that yeilds prime numbers. One such formula was x^2-x+41. Select some numbers for x, substitute them in the formula
Solving the word problem using the properties of similar triangles
A Dow Chemical bond carries a 9% coupon, pays interest semiannually, and has 10 years to maturity. What is the bond's yield to maturity if the bond is selling for $937.75?
A manufacture has been selling 1200 television sets a week at $420 each. A market survey indicates that for each $17 rebate offered to a buyer, the number of sets sold will increase by 170 per week. How would you find out the rebate that would max..
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