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Simplify by factoring. Assume that all variables in a radicand represent positive real numbers and no radicands involve negative quantities raised to even powers. (Simplify your answer. Type an exact answer, using radicals as needed.)
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Given f(x,y,z)= (3xy^4) + ln(4xz^2)-(6xyz^2)+(6yz)Calculate fx, fz, fxy, fzx
Control A certain machine that is used to manufacture screws produces a defect rate of .01. A random sample of 20 screws is selected.
The perimeter of a rectangle is 42 m. The Length of the rectangle is 3 m more than twice the width. Find the dimensions of the rectangle.
A non-linear spring obeys the modified Hooke's Law: F=-kxex, Where F is force in newtons, k is 2(N/m), and x is horizontal displacement if the right end of the spring in meters measured from the origin. What is the work done in stretching this spr..
Given the functions: f(x) = x2 + 3x and g(x) = -3 + x what is f(x) + g(x) ? Given the functions: f(x) = x + 4 and g(x) = x -3 what is (f*g)(x) ?
How much dinitrogen pentoxide will remain after 30 minutes? How long will it take until 0.01 M of dinitrogen pentoxide remains?
Does the following graph have an Euler circuit, an Euler path, both, or neither? Give reasons for your decision.
Find the length of one of the congruent sides to the nearest hundredth of a cm.
The descent statistic is des(π) = |Des(π)|. The descent statistic is encoded in the Eulerian polynomial ∑π∈Sn tdes(π), and the most basic identity for Eulerian polynomials is ∑k≥0(k + 1)ntk = ∑π∈S_n tdes(π)/(1 - t)n+1
Let G be an open subset of C ( complex plane) and let P be a polygon in G from a to b. Use the following 2 theorems to show that there is a polygon Q in G from a to b which is composed of line segments which are parallel to either the real or imag..
A sailboat is 3 miles directly west of a lighthouse. If the sailboat sails at an average rate of 10mph in the direction S30ºW, find its distance from the lighthouse at the end of 30 minutes.
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