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1. Sketch the region bounded by the three curves
y = √x, y = 2 - x, and y = 1/2.
2. Calculate the area of the region.
3. Use the shell method to calculate the volume of the solid formed by rotating the region about the x-axis.
4. Use the washer method to calculate the same volume. Check that the two answers are the same.
A rancher has 30,000 linear feet of fencing and wants to enclose a rectangular field and then divide into four equal pastures with three internal fences parallel to one of the rectangular sides. What is the maximum area of each pasture?
Mr. and Mrs. Quigley just moved into a new home with a lot of land. They need to plant grass seed. How will knowing the amount of seed needed from their old house help them with buying seed for the new lawn
For the following right triangle, find the side length x. Round the answer to the nearest tenth.
vin needs 420 points to have a B average in math. His scores so far are 88, 89, 79, and 77. What is the minimum score he can make on the next test to maintain the b?
Suppose instead of working on the Euclidean plane we study geometry on a sphere in (Euclidean) three space. We interpret point to mean any point on the sphere and we interpret line to mean any great circle on the sphere (that is any circumference ..
the length of a photograph is 3 cm less than twice the width. the area is 77 cm^2. find the dimesions of the photograph.
Your salary in year 1 is $65,000. You deposit 6% at the end of each yearin a savings account that earns 4% interest compounded daily (360days/yr.). Your salary increases by 3% per year. What value does your savings account show after 40 years?
Let an = -2an-1 + 15an-2 with initial conditions a1=10 and a2= 70. Write the first 5 terms of the recurrence relation
Consider two cases: one in which the ball is not completely submerged and the other in which it is.
you wish to have 500000 saved up in 30 years. assuming that you can get an interest rate of prime 5 on your investment
A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration ac is varying with time t as ac=k2rt2, where k is a constant. Find the power delivered to the particle by the forces acting on it.
Determine which books he should order to maximize his profit based on the above information - The local bookstores accept all shipments from Books, Books, Books because of BK's incredibly low prices.
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