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x = 2 cos(θ)y = 3 sin(θ)-π/2 <= θ <= π/2
Eliminate the parameter to find a Cartesian equation of the curve.
Gone fishing. Debbie traveled by boat 5 miles upstream to fish in her favorite spot. Because of the 4-mph current, it took her 20 minutes longer to get there than to return.
Use a change of variables to find the volume of the solid region lying below the surface f(x,y)=x^2 and above the plane region bounded by the line 2y - x = 1, 2y â?" x = 0, x = 1, and x = 2.
Use the Lagrange interpolating polynomial of degree three or less and four-digit chopping arithmetic to approximate cos 0:75 using the following values. Find an error bound for the approximation.
If it costs Acme Manufacturing C dollars per hour to operate its golf ball division, and an analyst has determined that C is related to the number of golf balls produced per hour, x, by the equation C = 0.009x squared - 1.8x + 100.
The Snell law to find the index of refraction
The five of six angles of a convex hexagon have measures: 112, 100, 90, 160, 115. Find the measure of the sixth angle.
Find the Fourier series for the odd extention of the function
At home medical test kits have increased in popularity in recent years. This year, 300 million test kits are expected to be sold. This represents a 115% increase from the number of kits that were sold last year. How many medical test kits were sol..
Find the order of accuracy for the Improved Euler Method using a Taylor Series Expansion.
Consider a rectangular box of volume 100 cubic centimters. Suppose that the base is a rectangle with sides x centimeters and 2x centimeters. Let hx give the height of the box in centimeters and let Ax be the total area of the six sides of the box.
A box with no top is to be built by taking a 6'' - by - 10'' sheet of cardboard and cutting x - in. squares out of each corner and folding up the sides. Find the value of x that maximizes the volume of the box.
Finding the possible length using the law of cosine.
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