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Solve the given problems by finding the appropriate derivative.
A connecting rod 4 cm long connects a piston to a crank 2 cm in radius (see Fig. 27.44). The acceleration of the piston is given by a = 2w2(cos θ + 0.5 cos 2θ).If the angular velocity w is constant, find θ for maximum or minimum .
in a card game a 2-card hand consisting of an ace and either a face card of diamond or a 10 is called a win. if a
bill earns (m) dollars per month and ann earns (n)dollars per month. how many dollars do both person earn in 1 yr?
The length of a rectangle is 5 mm longer than its width. Its perimeter is more than 30 mm. Let w equal the width of the rectangle.
Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions
Two small planes approach an airport, one flying due west at 120 mi/hr and the other flying due north at 150 mi/hr. Assuming they fly at the same constant elevation, how fast is the distance between the planes changing when the westbound plane is 180..
Determine whether or not the given mapping T is a linear transformation. T: R2 → R2 defined by T(x, y) = (xy, y)
Explain the Mean Value Theorem for Integrals. Find an example of an integral not used in the lessons and demostrate that the MVT is true for that integral
Sandra's scores on the first 4 test were 87%, 92%, 76%, and 89%. What is the minimum score she needs to make an the fifth test so that her average is at least an 80%?
estimate the distance that the bug crawls during this hour. Find an overestimate and an underestimate. Then average the two to get a new estimate.
you deposit "x dollars" a month, every month for 40 years, into an account that pays 6.2% interest compounded monthly. how much moeny will be in the account when you retire?
finding the exact value of cosalpha-betalet cos alpha 2425 where alpha has its terminal side in the first quadrant and
At a certain point in time the height is 15cm 1 and is increasing at the rate of 1cm/hr; the radius is 2cm and decreasing at the rate 10 cm/hr. Is 1 the volume (V = 3 r2 h) increasing or decreasing at this instant? At what rate?
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