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The altitude (i.e., height) of a triangle is increasing at a rate of 1.5 cm/minute while the area of the triangle is increasing at a rate of 2.5 square cm/minute. At what rate is the base of the triangle changing when the altitude is 11.5 centimeters and the area is 86 square centimeters?
ill's father bought Jill a car with the understanding that she would pay the car off in four years by making equal monthly installments. The car cost her father $6000 plus 9% sales tax. How much are the monthly payments Jill must make to her fathe..
The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches. Men the same age have heights that are also approximately Normal, with mean height 69.3 inches and standard deviation 2.8 inches.
Graph the function and answer the question using graph - What is the significance of the vertical asymptote (what does it mean in this context)?
Let S be the part of the plane 2x+2y+z=2 which lies in the first octant, oriented upward. Find the flux of the vector field F=4i+1j+2k across the surface S.
Find the product as a sum containing only sines or cosines
If A and B are subsets of a group G, define AB = {ab | a 2 A, b 2 B}. Now suppose phi: G -> G0 is a homomorphism of groups and N = Ker(phi) is its kernel.
a city drains 178,00 gal of water from a full spherical tank with a radius of 29ft. how many gallons of water are left in the tank?
Differentiate the functions. y = (square root cos (square root x))
how much rent should be charged to maximize revenue?
You are given the choice of three doors. Behind one is a new car and the others hide a barnyard animal for you to keep. After you choose door number one, your host (Monty) opens door three to reveal a goat
A tank is in the form of an inverted cone having an altitude of 12m and radius of 4m. Water is flowing into the tank at a rate of 2 m/min.
A poster is to have an area of 250 in2 with 1 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
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