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Find an equation of the tangent line to the curve y(x) = (9/(sin(x)cos(x))+(3sin(x)/(sec(x)cos(x)) at the point (1/5 Pi, y(1/5 Pi))
Let Cn denote the positively oriented boundary of the square x = +/- (N + 1/2)pie and y = +/- (N +1/2)pie where N is a positive integer
A printed poster is to have a total area of 603 square inches with top and bottom margins of 4 inches and side margins of 3 inches. What should be the dimensions of the poster so that the printed area be as large as possible?
Consider the function f(X)=ln(x^2+1). Calculate the slope of the tangent line at the point (2,ln(5)) to two decimal places.
You are planning to spend no less than $6000 and no more than 10,000 on your landscaping project. Write an inequality that demonstrates how much money you are willing to spend on the project?
find the equation of the largest sphere that passes through the point (-1,1,4) and is such that each of the points (x,y,z) inside the sphere satisfies the condition x^2+y^2+z^2
Suppose you and three friends go to a local pizza parlor. On the menu is a "Make Your Own Pizza" with four ingredients to choose from; onions, sausage, mushrooms, and pepperoni. Your best friend is allergic to mushrooms. How many different varieti..
Suppose a regular pentagon is centered on the y axis and sitting with its base on the x axis. If the pentagon has sides of length 9.7, find the equation
Determine the number of analysts, programmers, and engineers to be hired if for every one engineer. 2 programmers and 2 analysts are needed for the contract.
Calculate the angles that the two sections of the rope make with the beam, in degrees correct to two decimal places. The chandelier has mass 14 kg. Assume that the only forces acting on it are its weight and the tensions in the two sections of the..
If 5 J of work are needed to stretch a spring from 9 cm to 10 cm and 7 J are needed to stretch it from 10 cm to 11 cm, what is the natural length L of the spring?
Similarly, one additional unit will be occupied for each 5 dollar decrease in rent. What rent should the manager charge to maximize revenue?
Prepare the necessary correcting entries, assuming that Longfellow uses a calendar-year basis - Year-end wages payable of $3,400 were not recorded because the bookkeeper thought that "they were immaterial."
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