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Let a and k be two positive constants. Find the constants. Find the center of mass of the solid bounded below by the cone z2 = x2 + y2 and above by the sphere x2 + y2 + z2 = 2az and whose density is kz.
A salesperson determines that the probability of making a sale to a customer is 1/5. What is the probability of making a sale to two of the next ten customers?
find the perimeter of the triangle lying in xyz-space with vertices at the points: (5,-2,3), (4,7,3), and (4,7,9)
The United States uses a unit system
Sketch the graph of the function y = √(x-1)-1, stating the domain clearly - Give an example of a function that is even and odd.
Express the length of the curve as a definite integral. Obtain a numerical approximation to the value of the integral derived in (c). Describe the curve in terms of the intersection of two surfaces in space.
The sum of the infinite series, 1/2^2 - 2/3^2 + 3/4^2 - 4/5^2 + ... is given as pi^2/12 - log 2 on pages 64-65 in the book "Summation of Series" by L. B. W. Jolley, 2nd ed., 1961, Dover Pubs. Inc. (the ^ symbol denotes exponentiation in the above ..
Find the volume of the solid bounded above by z=x^2 and abounded below by the region enclosed by y=2-x^2 and y=x. Find the volume of the solid in the first octant bounded by the coordinate planes z=4-y^2 and the plane x=3. Find the volume of the wedg..
A population of protozoa develops with a constant relative growth rate of 0.8329 per member per day. On day zero the population consists of six members. Find the population size after eight days. (Round your answer to the nearest whole number.)
answer the following questions relating to percentagesi. convert the fraction 2350 to an equivalent percentage.ii.
Using the following integral and the facts that v(t) = x'(t) at time t of an object moving along the x axis is given, along with the initial position x(0) of the object. Answer the questions a - c.
Determine the number of towers of the form ∅ ⊆ A ⊆ B ⊆ {1,2,...,
A jeweler has three small solid spheres made of silver, of radius 2 mm, 6 mm, and 6 mm. He decides to melt these down and make just one sphere out of them. What will the radius of this larger sphere be?
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