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Assume that the i component of the derivative of a vector function r(t) is 0 for all t in the domain of the function. What does this imply about the graph of r?
Find the probability of correctly answering the first 2 questions on a multiple choice test if random guesses are made and each question has 5 possible answers
Three-person Problem of Points
Derive the statement as corollaries of other theorems from the text or of statement you have proved true in the exercise.
A particle is set in motion at time t=0 and moves to the right along the x-axis. (a) Suppose that its acceleration at time t is a=100e^(-1). Show that the particle moves infinitely far to the right along the x-axis.
Hypothesis testing for single mean.
A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 66 ft^3. What dimensions yield the minimum surface area? Round to the nearest tenth, if necessary.
An absent-minded nurse is to give Mr. Brown a pill each day. The probability that the nurse forgets to administer the pill is 2/3. If he receives the pill, the probability that Mr. Brown will die is 1/3.
Let n >= 2 be a number. Define the graph L2(n) as follows: Vertices are ordered pairs from the set {1, ..., n}. Two vertices are adjacent if they have the same first coordinate, or the same second coordinate (but not both).
An observer to a rocket launch was 1800 feet from takeoff position. The observer found the angle of elevation of the rocket as a function of time to be theta=3t/(2t+5).
Prove the identity (n~r) (r~k) = (n~k) ((n-k)~(r-k)), whenever n, r, and k are nonnegative integers with r less than/equal to n and k less than/equal to r:
Let (X,d) be a compact metric space, and let Con(X) denote the set of contraction maps on X. We shall define the distance between two maps f,g which belongs to Con(X) as follows:
What is the probability that he obtains a four -digit number less than 3265? A child takes four of the card and places them in some order.
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