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Let S be the triangle with vertices (4.2. 1.2, 4), (6, 4, 20), and (2, 2, 6). Find the image of S under the perspective projection with center of projection at (0, 0, 10).
a rectangular plot of land has a diagonal of 22 feet and an area of 235 square feet. Find the dimensions of the rectangle, correct to one decimal place.
How many cups of salt should be added to five cups of mixture A so that the resulting mixture has equal amounts of salt and pepper?
At its current short-run level of production, a firm's average variable costs equal $20,and its average fixed costs equal$70. It's total costs at its current production level equal $200,000. What is the firms current output level? What are its..
The x- and y-coordinates of a moving particle are given by two parametric equations.. X= 2t^2+t Y= 2-5t
$18,700 is invested, part at 13% and the rest at 8%. If the interest earned from the amount invested at 13% exceeds the interest earned from the amount invested at 8% by $690.94, how much is invested at each rate?
Find all points on the curve at which the tangent line is horizontal. Find d2y/dx2 at all points where the tangent line is horizontal.
Assume that f(z) is analytic at the origin and f(0) = first derivative of f at 0 = 0. Prove that f(z) can be written in the form f(z) = [z^2]g(z), where g(z) is analytic at z = 0.
A car left Shawnee at the same time traveling due east at 60 miles per hour. How much time will pass before the train and car are 405 miles apart?
Use mathematical induction to prove that the following statements are true. For n ≥ 1, the sum of the first n positive integers equals n(n+1)/2 , i.e.,
Calculate the area, with the appropriate number of significant
According to data collected, 0.6% of Facebook users are under 13 (the site is restricted to users 13 and older) in a simple random sample of 500 children under the age of 13, find the mean and standard deviation for number of Facebook users
a rectangle is bounded by the x- and y- axes and the graph of y=6-x/2. What length and width should the rectangle have so that its area is a maximum?
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