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Write the equation of the ellipse that stisfies the given conditions. sketch each curve.
1. center at(5,1), vertex at (5,4), end of a minor axis at (3,1)
2. vertex at (6,3), foci at (04,3) and (4,3)
Test the instructor claim at a 5% level of significance
Compute the derivative of the given function and find the equation of the line that is tangent to its graph for the specified value of x0.
1. Find a general solution to y'' + 4y = x^2 + 1 using the method of undetermined coefficients.
The recording devices record the time the sound reaches each one. How far directly north of site B should a second explosion be done so that the measured time difference recorded by the devices is the same as that for the first detonation?
Find the volume V of water in the bowl. Consider two cases: one in which the ball is not completely submerged and the other in which it is.
A 150kg horizontal beam is supported at each end. A 380-kg piano rests a quarter of the way from one end. What is the vertical force on each of the supports?
A chain store manager has been told by the main office that daily profit, P, is related to the number of clerks working that day, x, according to the function P=-25x^2+300x. What number of clerks will maximize the profit, and what is the maximum p..
the operating cost of a truck is 12+x/6 cents per mile when the truck travels x miles per hour. If the driver earns $6 per hour, what is the most economical speed to operate the truck on a 400 mile turnpike?
Let A, B and C be subsets of a universal set U and suppose n(U) = 100, n(A) = 30, n(B) = 30, n(C) = 32, n(A ∩ B) = 9, n(A ∩ C) = 10, n(B ∩ C) = 14 and n (A ∩ B ∩ C) = 5.
Find the number of sides a regular polygon has if each interior angle measure is 11 times the measure of each exterior angle.
Gary's age is an even number less than 14. He is one-half his sister's age. His sister's age is a number between 16 and 24. how old is Gar5y and how old is his sister?
Use chain rule to find dz/dt when z= x2+4xy+y2 and x=3s-t and y=st
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