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A rancher has 288 feet of fencing to enclose two adjacent rectangular corrals. What dimensions will produce the largest total area.
Find the prime of function
Find the center of mass of a thin plate of constant density d covering the "triangular" region in the first quadrant between the circle x^2+y^2=12.25 and the lines x=3.5 and y=3.5.
A 140 ft tower is located on the side of a mountain that is inclined 32° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 55 ft downhill from the base of the tower. Find the shortest length of wire ne..
A voltage V across a resistance R generates a current I=V*R. If a constant voltage of 14 volts is put across a resistance that is increasing at a rate of 0.7 ohms per second when the resistance is 3 ohms, at what rate is the current changing?
to determine the number of deer in a game preserve, a converationist catches 497 deer, tags them and lets them loose Later, 768 deer are caught 192 of them are tagged. How many deer are preserved.
Conclude from the previous part that lim sin(1/x) as x goes to 0 does not exist.
Annual profit in thousands of dollars is given by the function, P(x) = -.01x2 + 50x + 30,000, where x is the number of items sold, x ≥ 0.
A spring has a natural length of 26 cm. If a 25 N force is required to keep it stretched to a length of 39 cm, how much work W is required to stretch it from 26 cm to 28 cm? (Round your answer to the nearest hundredth.)
Normal Probability: Diameter of Grapefruits. The diameters of grapefruits in a certain orchard are normally distributed with a mean of 5.44 inches and a standard deviation of 0.41 inches.
Assuming all the heat lost by the body is absorbed by the water , find the temperature of the body and of the water at any time. Find the equilibrium temperature?
Recall that S_N (f)(x)= sum (n=-N to N) c_n e^{inx}= 1/2pi integral (from -pi to pi) f(x-t)sin ((N+1/2)t)/sin(t/2) dt
Suppose you throw a baseball straight up at a velocity of 64 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
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