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For the following curve, find the vector equation of the tangent line at t0, and state the slope of the tangent line at t0. [Note that the slope of a vector v=(v1,v2) is v2/v1].
x(t)=(2t, t^2) , t0=1
Prove the the center of gravity of a lamina in the shape of a parallelogram is at the point of intersection of the diagonals and that it is the same point as the center of gravity of four particles two of mass m at one pair of opposite vertices an..
A sample of 500 travelers who used the internet to book a trip were asked to which travel website they used. There responses are given in the table below. Use this information to construct a circle graph illustrating the percent of people who gave..
There are three methods to solving Linear Systems with two Equations. They are the Graph method, the Elimination method, and the Substitution method.
Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h) 2 + k.
Scores on the GRE (graduate record examination) are normally distributed with a mean of 510 and a standard deviation of 148
Calculate an exponentially smoothed forecast, using an alpha value of .30.
Assume that, at a certain college, 33% of all physics majors belong to ethnic minorities. Given a random sample of 10 physics majors, find the probability of the indicated event. Round your answer as appropriate.
An aquarium has a slate bottom that costs 8 cents/sq inch and glass sides which cost 1 cent/sq inch. The aquarium is to have a volume of 1024 cubic inches.
Determining the maximum area of a Norman window with the fixed perimeter of 16 feet - Evaluate the dimension of a Norman window of maximum area if the total perimeter is 16 feet.
Let A be an n × n matrix with eigen values 1, 2, · · · , n. Prove there are (2 n )n! Different matrix S with the property that the length of each column vector of S is 2 such that (S -1 )AS is diagonal.
Describe an application for the use of ratios or proportions and how it could be useful in your daily life?
Let V be a finite-dimensional real (i.e. F = R) vector space. Let T be an element of L(V)(set of operators on V), and assume that T^2 = 0.
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