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Let R be the region bounded by the curves f(x) = ln(x+3) +2 and g(x) = x^2 - 8x + 18.
a) Using the washer method, find the volume of the shape which is formed if R is rotated around the x- axis.
b) Using the cylindrical shells method, find the volume of the shape which is formed is R is rotated around the line x = -2.
Show all work including the integrals used and the limits of integrations.
How many of each should you purchase to minimize the total cost? (b) What is the total cost?
Find the five month moving average
What is the probability of choosing a queen from a deck of 52 cards? What is the probability of the 2nd card being a queen if the first was a queen? (without replacement)
What is the probability that more than 10 dogs have trait D? B. What is the probability that at most 11 dogs have trait D? Binomial Distribution and Standard Deviation
A boat race runs along a triangular course marked by buoys A, B, and C. The race starts with the boats headed west for 3600 meters. The other two sides of the course lie to the north of the first side, and their lengths are 1500 meters and 2800 me..
Consider a state lottery that has a weekly television show. On this show, a contestant receives the opportunity to win $1 million. The contestant picks from 4 hidden windows
In a survey of children who saw three different shows at Walt Disney World
Find the equation of the tangent plane to the ellipsoid 7x2 + 5y2 + 3z2 = 60 which pass through the line 5y - 3z = 0 = 7x + 10y - 30.
Probability Assume that the table below summarizes a survey involving the relationship between living arrangements and grade point average (GPA) for a group of students. If we select a student randomly from this group,
Prove that there exists only one 4-regular maximal planar graph. Can you explain it step by step? Draw the graph please.
Evaluate the number of ways between two town from the word problem - How many ways are there to go from A to C?
Important information about Initial value problems, Solve the initial value problems, Find the particular solution of the differential equation (dy/dx) + ycos(x) = 6cos(x) w/ y(0) = 8
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