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suppose that the points a and b are two vertices of a square. find the two other vertices in all possible cases.
A surveyor is 305 ft from the base of the new courthouse. Her angle-measuring device is 5 ft above the ground. The angle of elevation to the top of the courthouse is 42º. Find the height of the courthouse to the nearest foot.
Simplify the following expression as much as possible: Assume that all variables represent positive real numbers.
Park rangers catch, tag, and then release 140 elk back into a national park. One month later, they select a sample of 130 elk, 91 of which are tagged. Assuming the ratio of tagged elk in the sample holds for all elk in the park, approximately how ..
Finding the dimensions of a rectangle using second derivative test - Find length and width should the rectangle have so that its area is a maximum?
Integrate the integral below using the partial fractions method. (S represents the sign for integration) S x^3 + 4 / (x^2 - 1)(x^2 + 3x + 2) dx
Determine the largest and smallest values of the marginal cost for 0
Suppose that f_n(0) converges to some number, denoted f(0), and also suppose that the sequence (f'_n) converges uniformly on (0,1) to some function g: (0,1) -> R. Prove that the sequence (f_n) converges uniformly. What is its limit?
which is kept uniform, is pumped out at the rate of 2 gal/min. What is the concentration of salt in the container at the instant of overflow?
A plane flies 430 miles with the wind and 310 miles against the wind in the same length of time. If the speed of the wind is 30mph, what is the speed of the plane in still air?
Determine the stable and unstable manifolds for the rest point of the system.
Statistics - Probability, A professional chef's work responsibilities include creating new dishes, shopping for ingredients and cooking the meals. On Friday, Justin, a professional chef, spent 2 hours shopping for ingredients
Find all lines through the point (2,1) that are tangent to parabola y=xsquared. What properties of parabolas and formulas do you use to solve this problem?
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