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A cylinder is inscribed in a right circular cone of height 2 and radius (at the base) equal to 5.5. What are the dimensions of such a cylinder which has maximum volume?
Develop a plan for the distribution of salary increases. Suppose you are employed in a local industry, and your supervisor has assigned you to distribute annual raises that must average 4% per department among 6 team members.
the length of the red line segment is 12,and the length of the blue line segment is 4. how long is the transverse axis.
How many units of each model should National make each month in order to maximize its monthly profits? What is the optimal profit?
Mr X has two children. One of them is a boy born on tuesday.What is the probability that the other one is also a boy?
Find (and describe) all the regular tessellations of the plane. Note that septagons, nonagons, and 11-gons are not provided. How do you know each one you find really fills in all the gaps around a vertex point? How do you know when you're done?
Let A = Z + Z + Z, let x_1 = (1,2,1) and x_2 = (1,5,1), and consider the subgroup B = (x_1, x_2) is a member of G. For the quotient group G = A/B, and write (x,y,z) is a member of G for the coset determined by n element (x,y,z) is a member of A.
Write a linear regression equation for these data and forecast how much money Robert will win if he spends $28.
Construct a 95% confidence interval estimate of the difference between the mean response times for Company A and Company B. Interpret your interval in context of the original claim.
Two circles of different radii touch internally at C. A tangent at P on the smaller inner circle touches the larger circle at A and B. Join ABC. Prove that CP bisects angle
If you have 452 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
Is the surface integral of a closed surface (for example the surface is the cylinder x^2+y^2=9 between the planes z=0 and z=2, together with the top and the bottom) supposed to be 0?
the measurement of a side of a square is found to be 12 inches, whith a possible error of 1/64 inch. Use differentials to approximate the possible error in computing the area of the square.
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