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Please show each step of solving the problem below:
A right circular cylindrical can is to have a volume of 90π cubic inches. Find the height h and the base radius r such that
(a) the surface area of the can is minimum
(b) the cost of the can is minimum, given that the top and bottom cost 5 ¢ per square inch and the lateral surface area costs 3 ¢ per square inch.
Some friends tell you that they paid $15,127 down on a new house and are to pay $815 per month for 15 years. If interest is 5.4% compounded monthly, what was the selling price of the house? How much interest will they pay in 15 years?
Problem 1 (Compute CI for small sample using t-distribution given sample statistics). From a population of normally distributed IQ scores, a random sample of 25 scores yields sample mean as X = 98:4 and sample deviation Sx = 14:2. Find a 98% con d..
For the squeeze theorem to be applicable in this case, the constant A must be equal to a specific number. Find this number and assuming that A is that number for which the squeeze theorem is applicable, find lim x->48 f(x)
what is the magnitude of the average acceleration of the ball during this time interval? (Note: 1 ms = 10-3 s.)
Attempt to solve equations without writing down intermediate values. If you must write down values, keep as many digits or decimal places as you can. Better yet, use the memory locations in your calculator to store intermediate values.
Let R be a quasi-ordering and let S be the relation on the set of equivalence classes of R n R-1 such that (C, D) belongs to S, where C and D are equivalence.
A picture supposedly painted by Vermeer (1632-1675) contains 99.5% of its carbon-14 (half-life 5730 years). From this information decide whether the picture.
Find a possible formula for the linear function: h(x) if h(-30)=70 and h(40)=-280.
Suppose the minimum number of test tubes is increased to 3000. Use shadow costs to calculate the total cost in this case.
Find the relevant equilibrium and use the stability criterion to determine when it is stable. Draw a cob webbing diagram.
briefly explain the significance of the statement in the exercise that existing sale will not be affected by the special sale.
A company wishes to manufacture a box with a volume of 48 cubic feet that is open on top and is twice as long as it is wide. Find the width of the box that can be produced using the minimum amount of material.
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