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Find an equation of the ellipse having a major axis of length 8 and foci at (-5,2) and (-5,-2).
A fermi problem asks how many times a truck wheel turns in driving along the 401 highway from Windsor to London. What tools would you use to solve this problem?
Evaluate the equation of the standard rectangular hyperbola and equation of the tangent and normal at a point to rectangular Hyperbola
suppose we are modeling an operation that requires us to find values of 5 decision variables as simply as we possibly
The load on this beam and rollers apparatus had to be moved distance 20 units. If the circumgerance of each of the rollers is 0.8 units, how many turns must the rollers make to accomplish the move?
At a certain factory, approximately q(t) = t^2 + 50t units are manufactured during the first t hours of a production run, and the total cost of manufacturing q units is C(q) = 0.1q^2 + 10q + 400 dollars.
find a formula for the general term of a sequence , assuming that the pattern of the first few terms continues 1,6,16,31.
1. The length of a rectangle is increasing at a rate of7cm/s and its width is increasing at a rate of8cm/s. When the length is15cm and the width is9cm, how fast is the area of the rectangle increasing?
Dead leaves accumulate on the ground in a forest at a rate of 39 grams per square centimeter per year. At the same time, these leaves decompose at a continuous rate of 36 percent per year.
find the expected values of X and Y.
Use the methods of this section to find an equation for the plane tangent to the surface defined by the equation 3xy + z2 - 4 = 0 at the point (1, 1, 1).
What is expected time that will pass before the chain first hits 3 - what is the expected number of visits to state 2 before 3 is hit?
An induction stove heats a pot with a coil carrying an alternating current located beneath the pot (and without a hot surface).Can the stove surface be a conductor?
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