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in a game of ice hockey the hockey puck took 0.8 second to travel 89 feet to the goal line. determine the average speed of the puck in feet per second.
Two trains leave stations 374 miles apart at the same time and travel toward each other. One train travels at 80 miles per hour while the other travels at 90 miles per hour. How long will it take for the two trains to meet?
The base of an aquarium with given volume V=465 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials. (Enter your ..
If a plane can travel 460 mph with the wind and 400 mph against the wind, what is the speed of the plane in still air?
Let E be an open and convex subset of R^n and let f in C^1(E). Show that f satisfies the Lipschitz condition on E if and only if its derivative Df is bounded on E, that is, there exists a constant M => 0 such that the norm of
Explain Probability of drawing apples from a sample, There are 8 spoiled apples in a container of 27 apples set for inspection. A sample is drawn, for 4 apples at random
Test the instructor claim at a 5% level of significance
Derive the Euler-Lagrange Differential Equation (rigorously). Explain any theorems or results that you use in the derivation (e.g. don't just say "by the fundamental theorem of the calculus of variations" without telling what the fundamental theor..
Draw a scalene triangle and label the vertices, A,B, AND C. The side opposite vertex A is line segment BC. Find the midpoint of line segmentBC by constructing the bisector of line segmrnt BC. label the midpoint M.
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 ..
A carpenter is building a rectangular room with a fixed perimeter of 224 ft. What dimensions would yield the maximum area? What is the maximum area?
a moving truck rental company has a total of 24 trucks in its lot. The trucks are either 4-wheelers or 18-wheelers. How many of each kind of truck does the company have if the total number of wheels is 138?
Forty feet of fencing are to enclose three sides of a rectangular patio. The fourth side of the patio is a side of the house, and requires no fencing.
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