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The practice court at the park is a rectangle. its width is exactly twice its length. the area of the practice field is 450 ft. what are the length and width of the rectangle?
A study conducted at a certain college shows that 63% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that among 6 randomly selected graduates, at least one finds a job in his or her ..
Heat Equation Problem, Find the solution u(x,t) of the heat equation: with initial data u(x,0) = x
A catalog describes two types of freezers. Type A has a storage capacity of 60 cm x 60 cm x 150 cm and costs $339; type B has a storage capacity of 55 cm x 72 cm x 160 cm and costs $379. Which freezer gives you more cubic cm per dollar?
If t denotes the time in years after 1980, find a formula for N(t), the population in millions at time t. Assuming that this rapid growth rate continues, estimate the population and the rate of population growth in the year 2000.
how can we solve an ordinary second-order non-homogeneous euler equation by laplace tansfomation?
Find an example online of a graph used in real life. Please provide the link to the web page by using the link button in the editor.
Let A be the real 2x2 matrix with bc greater than or equal to 0. Prove there exists a real 2x2 invertible matrix S so that S^-1 A S is either diagonal or of the form
Compare the mean of the sample means with the population mean.
if you make it 9 cm deep and give the sphere a radius of 16 cm. To be sure, you picture the wok as a solid of revolution, and calculate its volume with an integral. To the nearest cubic centimeter, what volume do you really get?
airplane b takes off 60 min. After airplane a and heads in the same direction. If airplane a travels with a constant velocity of 735mph and airplane b travels with a constant velocity of 1070mph, in how many hours will airplane b catch up to airpl..
a window has a shape of rectangle surmounted by a equilateral triangle.if the perimeter of the window is 12m, find the dimensions of the rectangle that will produce largest area of the window.
Let f(x) = x^3, and compute the Riemann sum of f over the interval [6, 7], choosing the representative points to be the midpoints of the subintervals and using the following number of subintervals (n). (Round your answers to two decimal places.)
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