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The number of times a bicycle tire rotates in a given time period is directly related to thedistance traveled in that time period. Consider the following scenarios.
A bicycle with 26-inch tires is being pedaled so that the tires are rotating at a rate of 200revolutions per minute.
A second bicycle with 20-inch tires is being pedaled so that the tires are also rotating at arate of 200 revolutions per minute. Which bicycle do you think is going faster? Why? Use the concepts of angular and linear velocityin your answer.
A 6 foot tall man is standing near a tree on level ground. If the man's shadow is 4 feet long, how many feet tall is the tree?
Let f(x) = |x|. Show that f(-1) = f(1), but there does not exist any c ∈ (-1, 1) such that f is differentiable at c and f'(c) = 0. Why does this not contradict Rolle's Theorem
Construct the intersection graph of these collections of sets: and Construct the intersection graph of these collections of sets
Formulate an optimization problem that will determine how much labor and capital are needed in order to produce 50,000 tons of steel at minimum cost
Probability of a Bullseye, A simple dartboard has three areas - the main board has a radius of 10 inches, there is a circle with a radius of 5 inches, and the bullseye has a radius of 2 inches
A farmer with 5,000 feet of fencing wants to enclose a rectangular field and then divide it into two plots by adding a fence in the middle parallel to one of the sides. e. Using the function A(x) (from part d), analytically find the WIDTH of the f..
What are the units of the following partial derivatives? What are their practical interpretations? What do you expect theirsigns to be?
How many four digit numbers of the form abab
Moe and Joe flip a slightly unbalanced coin until the one or the other loses all his money. On a single flip Joe wins with probability .49. Joe starts with $8 and Moe start with $4.
Formulate a Linear Program (LP) that can be used to maximize the revenue. Solve the LP graphically.
What similarities and differences do you see between functions and linear equations that you studied in Chapter 3? Are all linear equations functions?
find the specified asymptotes of the following functions. recall that asymptotes are lines therefore the answer must be
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