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A rectangular box is to have a square base and a volume of 20 ft3. If the material for the base costs 37¢ per square foot, the material for the sides costs 10¢ per square foot, and the material for the top costs 13¢ per square foot, determine the dimensions of the box that can be constructed at minimum cost.
Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x)=3x^2 at x=1
Forces of 4 N and 6 N act on an object. What is the minimum value for the sum of these two forces?
Please evaluate the following integral using the formula for integration by parts,
For any given circles R and R' in C_oo, there is a mobius transformation T such that T(r)=R'. Further, we can specify that T take any 3 points on R onto any 3 points of R'. If we do specify Tz_j for j=2,3,4 (distinct z_j in R), then T is unique.
Find the Expected value of the investment
A rectangular gate ABCD of mass 120kg where AB=1m and AD=3m is supported at A & B by pins where B is vertically above A. The reaction force at B is always horizontal.
Random variable and a probability distribution, Discuss the concepts of random variable and a probability distribution. A university found that 20% of its students withdraw without completing the introductory statistics course. Assume that 20 stude..
The BETWEEN groups sum of squares was calculated to be 1,892.6, and the WITHIN groups sum of squares was calculated to be 14,482.9. (NOTE: These are not the mean sum of squares) Calculate the F-statistic to two decimal places.
What is the angle of elevation of the ladder?
the sum of the digits of a two-digit number is 12. the tens digit is three times the ones digit. what is the number?
A person hired a firm to build a CB radio tower.The firm charges $100 for labor for the first 10 feet. After that, the cost of the labor for each succeeding 10 feet is $25 more than the preceding 10 feet. That is, the next 10 feet will cost $125, ..
How many mare gallons of water will it take to fill the tank?
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