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Question: Consider the can in the previous exercise. Suppose the tin for the top and bottom of the can cost 8 cents per square inch, while the tin for the remainder of the can costs 1 cent per square inch. What should the diameter of the can be if the cost of the can is to be minimized.
Set up an integral to find the total population if x is the distance in miles from (a) the center of the city (b) Main Street.
Math 104: Midterm 2. Show that the series diverges at x = 1/2 and converges at x = -1/2. What is the radius of convergence of the series? Either calculate it explicitly, or justify carefully using part (a)
A is the event that a prime number comes up, B is the event that a number divisible by three comes up, C is the event that a perfect square number comes up. Find the sample space S, find complementary events, mutually exclusive events.
Recall that a matching in G is a sub graph with all vertices of degree 1 and that a perfect matching is a sub graph with all vertices of degree 1 that includes all vertices of G.
Find the continuous-compounding nominal interest rate per annum (r) that is equivalent to a discrete-compounding interest (i) of:
Find all extreme values of f and the values of x at which they occur. Find the interval(s) on which the function f is concave up?
Each of the numbers 1 through 10 inclusive has been written on a separate piece of paper. The 10 pieces of paper have been placed in a hat
What is stella mass
Research and identify how three specific technologies (texting, mobile phones, voice mail, email, Twitter, etc.) can be used to provide customer service to customers. Provide detailed information on how each technology is used.
How far was Jacob from the finishing point of his journey when he made that calculation? Start your work by defining the unknown quantities in terms of a variable. Show all work and write a complete answer, including units.
Suppose the probability that x is the ith element in a list of n distinct integers is i/[n(n + 1)]. Find the average number of comparised by the linear search.
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?
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