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Find the angle between the diagonal of a cube of side length 18 and the diagonal of one of its faces. The angle should be measured in radians.
Use the graph to find critical points. Label these points on your graph. Apply the extreme value theorem to find the absolute extrema of f(x) on the closed interval , [-1.5, 1.5]
Description of Directional Derivative and how the dot product can be used to justify that the gradient points in the direction of maximum of a function.
What similarities and differences do you see between the functions and linear equations? 2) Are all linear equations functions? Is there an instance when a linear equation is not a function? Support your answer.
The book cost (in dollars) for one semester's books are given below for a sample of five college students. Calculate the sample variance of the book costs.
Let x represent the width of the original piece of cardboard. Determine a function V that represents the volume of the box in terms of X.
Find the probability of correctly answering the first 2 questions on a multiple choice test if random guesses are made and each question has 5 possible answers
How many distinct isosceles triangles with sides of integral legnth have a perimeter of 40cm?
Suppose that 694 ft of fencing is used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle. Find the dimensions of the corral with maximum area.
the equation a=25000 - 1500t, where t is the time in minutes and a is the altitude in feet, represents the steady decent of a certain aiplane. Graph the equation using the x- and the y- intercepts. How long will it be before the airplane reaches t..
Jennifer, who is 63 inches tall, casts a shadow that is 95 inches long. At the same time, Elizabeth's shadow is 101 inches long. How tall is Elizabeth?
a long distance trucker traveled 176 miles in one direction during a snow storm. the return trip in rainy weather was accomplished at double the speed and took 4 hours less time. Find the speed going.
What is the probability that it is orange? What is the probability that it is orange, given it is NOT red?
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