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For a class assignment, Andrew is trying to find a general equation for the nth derivative of f(x) = 2xe^x, and he comes up with the equation the nth derivative of f(x) = (e^x)(2^n + 2x). His friend Sam points out that this equation fails at one of the higher order derivatives of f(x). If h(x) denotes the equation of the derivative that first fails to follow Andrew's generalization, find h(2).
A rope connects two poles that are 80 feet apart. The function .02x^2+15 models the height the rope is above the ground
Two ships leave port at the same time. Ship X is heading due north and Ship Y is heading due east. Seven hours later they are 350 miles apart. If the Ship X had traveled 280 miles from the port, how many miles had Ship Y traveled?
Describe what cyclic groups are and show that they are abelian. Describe their structure and the structure of their subgroups and factor groups up to isomorphism.
Use the distance formula to find the set of points S satisfying the condition that every point P(x,y) in the set is an equal distance from the line y=-2 and the point (0,2).
Use the integrating capabilities of a graphing utility to approximate the surface area of that portion of the surface z=e^x that lies over the region in the xy-plane bounded by the graphs of y=0, y=x and x=1.
an 825-kg space vehicle is circling earth in a circular orbit with a radius of 10300 km. its orbit is to be changed to
the duration of telephone calls directed by a local telephone company sigma4.2 minutes n500 97 confidence. use the
A truck can be rented from Basic Rental for $50 per day plus $0.20 per mile. Roadrunners charges $20 per day plus $0.50 per mile to rent the same truck. How many miles must be driven in a day to make the rental cost for Basic Rental a better deal ..
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?
Statistical Testing for an Out-of-Control Process, A statistical process analyst is responsible for assuring statistical control. In one process, a machine is supposed to drop 11.4 ounces of mints into a bag.
you are a data analyst with john and sons company. the company has a large number of manufacturing plants in the united
for a product-testing focus group, a company selects 10 men and 10 women at random from a population that has approximately equal numbers of both. Is this an example of a cluster sample?
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