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Question: There a park in the shape of a rhombus one of the side is 5 units in length .There are two gates exactly at the mid points of two adjacent walls of the park.There is a straight path connecting two gates which is 4 units in length. Find the area of the park (Sq units).
Find all relative extrema and saddle points for the function f(x, y) = xy + 2/x + 4/y and Find absolute max and min values of f(x, y) = 4x2 - 3y2 + 2xy on the square 0 ≤ x ≤ 1, 0 ≤ y ≤ 1
A 65 foot rope hangs from the top of a pole. When pulled taut to its fullest length the rope reaches a point on the ground 30 feet from the base of the pole. Find the height of the pole to the nearest tenth of a foot. Let p equal the height of the..
Obtain the system of equations whose solutions give the pressure distribution in the reservoir at the end of 10 days. Use a time step of 5 days to generate the system of equations
If a = i + 7j + k and b = i + 13j + k , find a unit vector with positive first coordinate orthogonal to both a and b in terms of i, j, and k.
Colombia has a population density of about 43 people/km2 and a population of about 48,929,706. What is the approximate area of Colombia? Round to the nearest whole number
Suppose that a car normally sells for $16,500 and is now on sale for $14,000. What is the percent of discount? If necessary, round your answer to the nearest tenth.
Determine whether each is strong or weak, and note the relationship between your answer and the truth or falsity of the premise(s) and conclusion.- The Declaration of Independence says that all men are endowed by their creator with certain unaliena..
Show that if y = f(x) is a solution to the differential equation dy/dx = 3y2/3 that is not zero on an open interval I, then on this interval f(x) must be of the form
If i throw a thumbtack on the desk it can land either point straight up or point down (on its side) Explain one way that I should estimate
Find the equations of the indicated tangent or normal lines.
calculate the outward flux of F across the boundary dOmega
Waiting Lines and Queing Theory Models. Customers enter the waiting line at a cafeteria on a first come, first served basis in two serving lines.
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