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a. The volume of a cylinder(think about the volume of a can)is given by v=pir^2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 100 cubic centimeters, what is the measurement of the height of the cylinder is 2 centimeters? show work
b. Graph this function
Why is it true that any two points satisfying a linear equation will give you the same graph for the line represented by the equation?
Compute the mean and standard deviation of the information
Find a recurrence relation for the number of bit strings of length n that contain three consecutive 0s. What are the initial conditions?
Supppose a baseball is thrown at 85 miles per hour.The ball will travel 320 ft when hit by a bat swung at 50 miles per hour and will travel 440 ft when hit by a bat swung at 80 miles per hour.
How many rectangles are there in a line of fifteen squares where sides are lined up with the adjacent sides touching the entire length of the side?
A committee of four is to be randomly selected from a group of seven teachers and eight students. Find the probability that the committee will consist of four students.
How would you explain the difference between the method used for graphing a function from how to determine the domain and range from the graph of a function?
From a group of three finalists for a privately endowed scholarship, two individuals are to be selected for the first and second places. Determine the number of possible selections.
Probability and Pascal's Triangle, Describe a real-life situation where Pascal's Triangle can be used to calculate probability
G is a finite group with elements a and b. Let the conjugacy classes of these elements be A and B respectively and suppose |A|^2, |B|^2
We use the Fourier expansions of certain poynomial functions to compute the sum of some useful numerical series. The formulas are quite general and give, at the end, the Fourier expansion of every polynomial function.
Prove the proposition. Let X be a metric space and Y be a submetric space of X. If Y is complete, then Y is closed in X. Conversely, if Y is closed in X and X is complete, then Y is complete.
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