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1. Find the centroid of the region bounded by the given curves.
y = 6 sin 4x, y = 6 cos 4x, x = 0, x= π/16
2. Calculate the moments Mx and My and the center of mass of a lamina with the given density and shape.
ρ = 3.
3. Calculate the moments Mx and My and the center of mass of a lamina with the given density and shape.
ρ = 5.
s to manufacture a box with a volume of 24 cubic feet that is open on top and is twice as long as it is wide. Find the width of the box that can be produced using the minimum amount of material. Round to the nearest tenth, if necessary.
Kellam Images prints snack food bags on long rolls of plastic film. The plant operates 250 days a year. The daily production rate is 6000 bags, and the daily demand is 3500 bags. The cost to set up the design for printing is $300. The holding cost..
Choose a flat monthly rate and cost per minute and insert the values you have chosen for m and b into the equation. Then use this equation to find the total monthly cost, C, if 73 minutes are used.
a)Use Laplace transforms to solve the IVP: y'' + 4y = 0, y(0) = 1, y'(0) = -1 b)Find the Laplace of e^(2t)cos(3t).
How much money (total) do you have after the 5 years pass and how much do you earn in interest over the 5 years?
Bert borrowed $7500 from Delores on November 7, 1997. When Bert repaid the loan, Delores charged $190.02 interest. If the rate of simple interest on the loan was 6 3/4%, on what date did Bert repay the loan?
a. find a function s given by st a cos ?t that models the displacement of the weight.b. evaluate s1. is the weight
Question from matrices and determinants, linear and nonlinear system of equation and inequalities and Gaussian elimination
Write the Chain Rule formula for the following composition using a tree diagram. Write formulas for the partial derivatives ?z/?r and ?z/ ??. Use them to answer the following question.
a rectangular table is six times as long as it is wide. If the area is 96ft2 , find the length and the width of the table?
Problem 1 Below is part of the graph of 5x3y - 3xy2 +y3 = 6. Verify that (1,2) is a point on this curve. There's a nearby point on the curve whose coordinates are (1.07, u). What is an approximate value for u? There's a nearby point on the curve whos..
What is the compound interest earned?
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