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A piece of wire 20 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle.(a) How much wire should be used for the square in order to maximize the total area?(b) How much wire should be used for the square in order to minimize the total area?
Estimate the area under the graph of f(x)=2sinx between x=0 and x=pi/2 using five approximating rectangles of equal withs and right endpoints as sample points.
We may think that this is similar to a Fresnel Integral (sin(x^2)). In that case, we would set z=e^(iz)^2, and then integrate over the special contour with regions I: 0 to R, II:
Description of Find the probability. A drug tester claims that a drug cures a rare skin disease 78% of the time. The claim is checked by testing the drug on 100 patients
What is the probability that a random sample of 50 such women will yield a mean entry-level that exceeds $58,000?
Consider R2 with the following rules of multiplications and additions: For each x=(x1,x2), y=(y1,y2): Is it a vector space, if not demonstrate which axioms fail to hold.
Solving problems on permutation and combination
Find A.M, G.M, H.M, median and mode of following data and find the missing frequencies from the data given below if mean is 60.
Analyze the residuals from this experiment. Are there any indications of model inadequacy or violations of the assumptions?
Find the equation of the line through the point (-1, 3), having a slope equal to 3/7. Find the equation of the line that passes through the point (2, 3) and which is perpendicular to the line y = -4x + 5.
Find the instantaneous velocity when t = 1. Please show me all the steps, explain to me what instantaneous velocity is and how it is calculated (formula).
7 a day with unlimited mileage. A discount firm offers a similar car for $24 a day plus 22 cents per mile. How far must you drive in a day in order for the cost to be the same at both firms?
Find the first five positive deficient square pentagonal numbers. The answer should demonstrate in a table with 3 columns how to get the corresponding m, n and Pm for each of the 5 numbers.
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