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88 feet of fencing to enclose a rectangular plot if you do not fence the side along the river. find the length that will maximize the area.
A rectangular storage container with a lid is to have a volume of 16 m3. The length of its base is twice the width. Material for the base costs $8 per m2. Material for the sides and lid costs $16 per m2. Find the dimensions of the container which ..
A bucket that weights 4 lb and a rope of negligible weight are used to draw water from a well that is 70 ft deep. The bucket is filled with 36 lb of water and is pulled up at a rate of 2.5 ft/s, but water leaks out of a hole in the bucket at a rat..
A tree on a hillside casts a shadow 206 ft down the hill. If the angle of inclination of the hillside is to the horizontal and the angle of elevation of the sun is , find the height of the tree. Please round your answers to the nearest whole.
A cup of coffee at 181 degrees is poured into a mug and left in a room at 66 degrees. After 6 minutes, the coffee is 139 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case) dT/dt=k(T-66).
A function y = f(x) whose graph in the xy-plane, when rotated around the x-axis
What is the potential energy for the child just as she is released, compared with the potential energy at the bottom of the swing? How fast will she be moving at the bottom of the swing?
Bella requires $80,000 in four years to purchase a new home. What amount must be invested today in an investment that earns 6% interest, compounded annually.
A local hamburger shop sold a combined total of hamburgers and cheeseburgers on Saturday. There were more cheeseburgers sold than hamburgers. How many hamburgers were sold on Saturday?
A Model boat has a length span of 20cm. The real length is 4cm. Find the scale of the model?
what is the annual interest rate or delinquent. what other penalties might you be subject to besides late fees? considering what you have found. is this card a good deal or not? explain your answe.
Root test for convergence of geometric series and evaluate the interval of convergence of a power series.
Consider the following relation R on the set of positive integers: R = {(x,y)|x and y have the same prime divisors}
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