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Find all lines through the point (2,1) that are tangent to parabola y=xsquared. What properties of parabolas and formulas do you use to solve this problem?
The measures of the angles of a triangle are in the ratio of 2:3:4. What is the measure of the smallest angle? Each side of a rhombus measures 10 inches. If one diagonal of the rhombus is 12 inches long, what is the length of the other diagonal?
Important information about Probability with dice, You roll a dice twice. What is the probability that you will roll each of the following pairs of numbers.
Consider the following three vectors in R^3: Verify that {x_1, x_2, x_3} are orthogonal with the standard inner product in R^4
Application of differentiation and integration on real world problem - Show the cost of running the car air conditioner vs. just rolling down the windows. Irecommend you investigate the google searches on Air conditions fuel efficiency car and Ai..
Discrete Random Variable Defined on a Finite Sample Space. a) Prove that if X is a discrete random variable defined on a finite sample space, S, then we have E(X) = SUM X(a) P({a}).
Change into symbolic notation - Roses are red and violets are blue
Prove the given Φ is either a trival homomorphism or 1- 1.
Determine whether each of these proposed definitions is a valid recursive definition of a function f from the set of non negative integers to the set of integers.
Assuming exponential population growth, predict the populations of China and the U.S. in the years 2100 and 2200. Assuming exponential population growth, approximately when will China's population double?
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.
Waiting line model, As it is, models have been developed to assist managers understand and make better decisions concerning the operation of waiting lines
Construct an equilateral triangle. Then construct one of its altitudes. If the sides each have length 1, how long is the altitude
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