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The opening of the cannon pictured at the left is 16 feet above the ground. The daredevil, who is shot out of the cannon, reaches a maximum height of 55 feet after about 1.56 seconds and hits a net that is 9.5 feet off the ground after 3.25 seconds. Use this information to answer the following questions.
a. Write a rule that relates the daredevil's height above the ground h at a time t seconds after the cannon is fired.
b. At what upward velocity is the daredevil shot from the cannon?
c. If, for some unfortunate reason, the net slipped to the ground at the firing of the cannon, when would the daredevil hit the ground?
The parabola y= x^2+4 has two tangents which pass through the point (0,-2). One is tangent to the parabola at (a, a^2+4) and the other at (-a, a^2+4) where a is a certain positive number. The question is a=?
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.
Description of Joint probability, However in this problem what do I do with 2X in my upper y limit, can I plug in the max x value and just make it 0
Consider a bivariate normal population with u1=0,u2=2,σ11=2,σ22=1,and p12=.5, write out the bivariate normal density.
Prove whether the following is true or false. If it is false give a counter example. If M is a connected point set, the cl(M) is connected.
Composition of Functions and Isomorphisms, I can't prove the following statements about functions f:A->B and g:B->C, 1. If gof is one-to-one then so is f.
List the elements in A U B U C. (they are suppossed to be upside down U"s ) State A U (B U C). (the U in between the b, c is the wrong way).
Let G be a group (finite or infinite) and let a and b in G. Let o(a) represent the order of a. Suppose G is abelian and both a and b are of finite order. Show that ab is of finite order and o(ab) divides o(a)o(b).
As reported by Runner's World magazine, the times of the finishers in the New York City 10-km run are normally distributed with a mean of 61 minutes and a standard deviation of 9 minutes. Let X be the finishing time for a finisher in the New York ..
Find the 95% confidence internal for the standard deviation
Let R be a principal ideal domain and a, b, in R, not both zero. Prove that a, b have a greatest common divisor that can be written as linear combination of a and b.
What is the probability that a randomly selected bike that did not pass inspection came from assembly line B?
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