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Question 4
Find the area of the smaller region bounded by the ellipse
Question 5
Prove that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is .
explain how the commutative and associative properties of multiplication can help you evaluate the product 5x17x2 mentally.
Suppose that a volcano is erupting and readings of the rate r(t) at which solid materials are spewed into the atmosphere are given in the table. The time t is measured in seconds and the units for r(t) are tonnes (metric tons) per second.
A building has a rectangular base with opposite corners at (1,5) and (3,7). The roof is the graph of f (x,y) = x cos(y) + x + 1. What is the volume of the building and what is the average height of the building?
How would you operationalize recidivism and what scale of measurement is used for recidivism in your proposed study? Can you analyze the effectiveness of this program using any of the statistical tests we have covered thus far in the course? Explai..
Values of f(x,y) are in the table below. Let R be the rectangle 1 ≤ x ≤ 1.2, 2 ≤ y ≤ 2.4. Find the Riemann sum which is a reasonable over estimate for ∫Rf(x,y) dA with Δx=0.1 and Δy=0.2. Show what you calculate.
The average percentage growth rate of function f[x] as x advances by one unit from x to x+1 is given by percent[x] = 100((f[x=1]/f[x]) - 1). Use this formula to measure the average percent growth rate of f[x] = 3e0.7x as x advances by one unit
What is the difference between Real numbers, Rational Numbers and Irrational Numbers?
The bus averaged 40 mph on the drive from Columbus to Athens but averaged 60 mph during the return trip. What was the average speed of the bus for the entire trip?
humorous
Let A and B be sets. Show that A x B and B x A have equal cardinality by constructing an explicit bijection between the two sets. Then use the following proposition to prove that multiplication is commutative. (Let n, m be natural numbers. Then nx..
1. let tn be the nth chebyshev polynomialtnx cosn cos-1x xisin2 -1 1 n 0 1......show that the polynomials dened
At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10 cubic feet per minute. The diameter of the base of the cone is approximately 3x the altitude.
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