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A large koi pond is filled with a garden hose at a rate of 10 gallons per minute. After 5 minutes the pond has 475 gallons of water. Find a linear equation that models the number of gallons y of water in the pond after t minutes.
A rancher has 400 feet of fencing and wants to build a corral that's divided into three equal rectangles. What length and width will maximize the area?
A 6.00 in radius cylindrical rod is 2 ft long. Use a differential to approximate how much nickel (in in^3) is needed to coat the entire rod with the thickness of .12 in.
Determine the angle of the launch to obtain the maximum length of the trajectory. Let v0 = 96 feet per second
A spherical weather balloon is being inflated. Beginning at 11 cm, the radius of the balloon is increasing at the rate of 2 cm per second. Express the surface area of the balloon as a function of time (in seconds).
Let u = [2,1,1]^T, v = [1,3,2]^T (i.e. they are column vectors). Caclulate v^Tu and uv^T. Show that u is an eigenvector of the matrix uv^T and calculate its eigenvalue.
Transform the equation to standard form and find the center and radius of the circle:
how do you calculate the burial cloth of an egyptian mummy is estimated to contain 59% of carbon-14 it contained originally. how long ago was the mummy buried? the half life of carbon-14 is 5730.
a container in the shape of an inverted right circular coner has a radius of 8 inches at the top and a height of 10 inches. At the instant when teh water in the container is 8 inches deep the surface level is falling at the rate of -1.3in/s. FInd ..
Two opposite vertices of a square are P(3, 2) and Q(-5, -10). Find the length of:
Sketching the graph of Cosecant function and identifying its asymptotes
Suppose a bullet is fired on a distant planet so that its height (in feet) after t seconds is given by h=-4t2 + 16t +5. The 2 in 4t2 is a small 2, but I don't know how to do that with my keyboard.
How many servings of fruit should Dale eat on Saturday to average at least 5 servings per day for the week?
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