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A tree farmer estimates that if 80 apple trees are planted, the average yield will be 400 apples per tree. But because the size of the farm, for each additional tree planted the yield will decrease by 32 apples per tree. How many trees should be planted to maximize the total yield of apples? What is the maximum yield?
Show that the mass, momentum, and energy are constants of motion (invariants) for the KdV equation by direct differentiation with respect to time.
Consider the transformation w = (z + 2)2 where w = u+ jv and z = x + jy. Determine the image in the W-plane of the line y = x + 1 in the Z-plane.
To finance the $15,000 cost of their kitchen remodeling, the Chews will make equal payments at the end of each month for 36 months. They will pay interest at the rate of 7.2% compounded monthly. Find the amount of each payment.
How many mare gallons of water will it take to fill the tank?
First give the integrand expressed in terms of h, the terms of the height in feet from the bottom of the trough.
Learning is a lifetime activity. For some, it means learning from everyday experiences; for others, it means taking classes in a more traditional atmosphere. The percentage of people participating in organized learning situations during 2002 for e..
Convex Sets and Linear Transformations, Prove that the following sets are convex, where E stands for the sum symbol:
Assume that the pool's depth increases constantly between the shallow end and the deep end. How fast in the height of the water increasing when the water has filled 4 feet of the deep end?
Where did the 2.65 come from? Almost all calculators will calculate the value of a number raised to a power. If you don't know how to do it on your calculator, get out the instruction book. Or find a scientific calculator online -- there are plent..
Suppose that you randomly draw 18 cards from a standard deck of 52 cards. what is the probability of drawing at least 6 hearts?
after darlene bowled 2 more games her mean score for all 6 games was 135. what could her scores for each of those 2 games have been?
What is the expected value for the recessive phentotype of the cross Long versus Short and what is the Chi Square Sum (rounding to 3 significant figures) for Long versus Short cross?
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