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Find the equation of the tangent line to:y=8/√(4+3X) at the point (4,2)
There are two small cities, Santa Clara and Santa Rosa. Santa Clara has 20 houses and Santa Rosa has 15 houses. An inspector must randomly choose 5 houses in Santa Clara and 7 houses in Santa Rosa to inspect.
Suppose u and v are non-parallel unit vectors, a=u+sqrt(3)v and b=u-sqrt(3)v. If the angle theta between u and v are the same as that between a and b, find cos theta.
Let S be a set with an associative binary operation but with no identity. Choose an element 1 not belonging to S, write M = {1} or S, and define an operation on M by using the operation of S and 1s=s=s1 for all s belonging to S.
How may switches of each type should be produced in order to maximize profit? What is the maximum profit?
A voltage V across a resistance R generates a current I=V*R. If a constant voltage of 14 volts is put across a resistance that is increasing at a rate of 0.7 ohms per second when the resistance is 3 ohms, at what rate is the current changing?
Permutation and combination to find number of ways
Probability from stem and leaf plot, The ages of 25 employees in a company are listed below in a stem and leaf plot. What is the probability that a worker chosen at random
Suppose that 40% of a company's television sets are manufactured at a plant in Portland and 60% at a plant in Houston. Of those made in Portland, 4% are defective, and of those made in Houston 9% are defective.
Use the information below to answer the question: Is the segment PB congruent to PD? Segment PA is orthogonal to the plane m
How are the vertex and axis of symmetry related on a parabola? Please explain with the help of an example.
Let ubar and vbar be nonzero vectors in 2 or 3 space and let k=||u|| and m=||v||. Show that the vector Wbar=mubar +kvbar bisects the angle between ubar and vbar.
Use Mad to compare simple moving & weighted moving average
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