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Find the nonnegative numbers x, y and z that minimize the quantity M=x^2+y^2+z^2 subject to the condition (x^4)*(y^2)*z=1. Please show all work.
the mean on the math 165 finl exam for math 165 last year was 80 with a standard deviation of 5. What is the cutoff score for a student to be in the top 12%?
Find the osculating plane of the circular helix r(t) = costi + sintj + tk at the point (0, 1, pi/2)
The trough is full of water (density 1000 kg/m^3 ). Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use g=9.8 m/s^2 as the acceleration due to gravity.)
A line that is perpendicular to a segment at its midpoint is called the perpendicular bisector of the segment. Find the equation of the perpendicular bisector of, if the coordinates are: A(5, -12) and B(3, -6) Show all steps.
An insurance company sells an automobile policy with a deductible of one unit. Let X be the amount of the loss having p.m.f. Determine C and the expected value the insurance company must pay
What effect would a $10 million capital expense have on this year's earnings if the capital is depreciated at a rate of $2 million per year for five years? What effect would it have on next
The sample results were x= 357.5, s= 117.29. Logger working on the road claims the skidding distance is at least 400 meters. Is there sufficient evidence to refute this claim?
Find the directional derivative at P(-2,2,-1) in the direction of Q(18,-2,4). Find the direction of maximum decrease at P. (your answer does not have to be unit vector.) What is the maximum rate of decrease?
What is the largest open interval of convergence (don't worry about endpoints) for the power series about c = 0 which represents
Find all of the real zeros of the polynomial P(x)=3⋅x4+48⋅x3+216⋅x2+228⋅x-135. List the zeros in any order and separate them with commas.
Discuss which practical application covered in the chapter you think you will use within the next year and how you think studying this topic will help you make wise financial choices in the future.
Suppose that a tribal culture was discovered in the South Pacific whose language consists of only eight letters
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