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A sky diver in free fall travels at a speed modeled by ft per second after t seconds. How long will it take for the skydiver to attain the speed of 60 mph (note: 60 mph = 88 ft/sec)?
A sky diver in free fall travels at a speed modeled by V(t) = 176(1 â?? e â?? 0.18 t) ft per second after t seconds. How long will it take for the skydiver to attain the speed of 60 mph (note: 60 mph = 88 ft/sec)?
A thin plate occupies the region x^2/4 + y^2/9 is less than or equal to 1. If the temerature of the plate is T(x,y)= x^2 + y^2 - 5y + 5, find the coldest and hottest points on the plate.
The report costs Paula $ 15 to produce, but Paula is able to sell reports for $ 350 each. Of course, any reports not sold by the end of the week have no value. How many reports should Paula produce each week?
We may think that this is similar to a Fresnel Integral (sin(x^2)). In that case, we would set z=e^(iz)^2, and then integrate over the special contour with regions I: 0 to R, II:
Describe the first iteration--i.e. write down the formula for the next point x2 and the decision that has to be made. Solve Numerical Analysis and Root Finding
How do you find the surface area of a rectangular prism if the top is 5 the side is x+6 and the bottom is 2x-1?
Find the dimensions of the largest acceptable box with square front and back. (Let x be the measurement of one side of the square front. Let y be the length of the box.)
In recession, congress decided to stimulate the economy by providing funds to hire unemployed workers for gov. projects. Suppose the t months after the stimulus programs have begun, there are N(t) thousand people unemployed, where:
Monthly sales in thousands of dollars for women's dresses at a local department store for last year were.
If a and b are positive numbers, what is all the information we can deduce about the relationship between the lines: L1: y = - ax + b and L2: y = (1/a)x + b?
Find the critical points of the following functions and determine whether they are local maximums, minimums or otherwise using the second derivative test.
During the first part of a trip a canoeist travels 68 miles at a certain speed. The canoeist travels 19 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 5 hrs. What was the speed on each part of the trip..
Discuss the concept of the derivative of a function.
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