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1. The graphs of the function f (given in blue) and g (given in red) are plotted above. Suppose that u (x) = f (x) g (x) and v (x) = f (x) / g (x) . Find each of the following:
2. Find an equation for the line tangent to the graph of
f (x) = -3xex
at the point (a, f(a)) for a = 2.
3. The motion of a spring that is subject to a frictional force or a damping force (such as a shock absorber on a car) is often modeled by the product of an exponential function and a sine or cosine function. Suppose the equation of motion of a point on such a spring is
s (t) = 5e-1.4t sin (2πt)
where s is measured in centimeters and t is measured in seconds. Find the velocity of the point after t seconds.
factor the polynomial and state the multiplicity of each zero.1 given x 2 and x 3i are two zeroes of a real
recent information published by the u.s. environmental protection agency indicates that honda is the manufacturer of
i need these figured today. please review the attachment. the topic discusses diecrete math concepts involving
Probability of a Bullseye, A simple dartboard has three areas - the main board has a radius of 10 inches, there is a circle with a radius of 5 inches, and the bullseye has a radius of 2 inches
What is the total weight of two boxes us 147 pounds. The first box weighs 52 pounds. Use compatible numbers to estimate the weight of the second box.
Find the unit vectors in the directions of the steepest descent and the steepest ascent at (2, 4). Mark these directions on the graph in (b). Verify that the gradient at (2, 4) is orthogonal to the level curve through this point.
If the water level is 5 feet below the closed bridge, find the distance d between the end of a section and the water level when the bridge is fully open. (Round your answer to the nearest whole number.)
In right triangle BCD, BD=12 m
A rectangular box has length 7 inches, width 17 inches, and a height of 20 inches. Find the angle between the diagonal of of the box and the diagonal of its base. The angle should be measured in radians.
question1 the industry standards suggest that eleven percent of new vehicles require warranty service within the 1st
If you deposit $1,000 into an account that pays 4% interest compounded continuously, how long will it take the account to grow to $2,000?
which alternative is the best choice? and why?
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