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Find the area bounded by the graphs-
a) f(x) = x2 and g(x) = x3
b) f(x) = x4 + 2x2 and g(x) 28 - x2
c) f(x) = x3 and g(x) = x
d) f(x) = 8x, g(x) = x, h(x) = x-2
e) f(x) = e-x, g(x) e2x, h(x) =7
Find the stationary points of f and classify each of the stationary points - Determine the second-order Taylor polynomial for f near (2,1) and Find the solution of the simultaneous linear differential equations
From the matrix S who columns are the three vectors in your basis for E3, and compute J = (S^-1)AS. Notice that if you order the columns of S in the most logical way, J will be triangular.
How many different seating arrangements are possible for 6 people in 4 chairs?
A spherical weather balloon is being inflated. Beginning at 11 cm, the radius of the balloon is increasing at the rate of 2 cm per second. Express the surface area of the balloon as a function of time (in seconds).
Let f be a non-negative monotone continuous function defined on the interval (0
At least one of the three employees is lying when all are telling the truth?
An alligator with a body length of 7 feet has a tail length of 4.9 feet. What is the tail length of an alligator whose body length is 4 feet?
Each tire on an automobile has a radius of 1.25 feet. How many revolutions per minute does a tire make when the automobile is traveling at a speed of 88 feet per second?
First give the integrand expressed in terms of h, the terms of the height in feet from the bottom of the trough.
A poll of 69 students found that 24% were in favor of raising tution to build a new math building. The standard deviation of this poll is 4%. What would be the standard deviation if the sample size were increased from 69 to 205?
Compute the integral of 4y^3 dx -2x^2 dy around the square bounded by the lines y=+/- 1 and x=+/-1. Directly by performing the line integration.
To make an open-top rectangular box, a 3 inch by 5 inch rectangular sheet of cardboard has congruent squares cut from each corner. What are the dimensions of the maximum volume, and what is the volume of that box?
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