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1. Find the area bounded between the curves f(x) = x2 - 4, and g(x) = 4 - x2.
2. Set up the integral to calculate the arc lenght of f(x) = Inx over the interval [1, 8].
Recall the Mean Value Theorem for Integrals (MVTi): If f is continuous on the interval [a, b], then there is at least one value of c in [a, b] such that
f(c) = {1/(b-a)} a∫b f(x) dx
3. Dose the MVTi apply to f(x) = 4 / x2 on the interval [-4, -2]? If it applies, find the value(s) of guaranteed to exist by the theorem. If the MVTi does not apply, state why
do cars on eastbound interstate 10 near the louisiana-texas border travel slower than the cars in westbound interstate
Discrete Structure Assignment: - The Fibonacci numbers are defined as follows: f0 = 0, f1 = 1, and Fn = F n-1 + F n-2 for n >=2, Prove each of the following three claims:
If we want to interpret the given integral as the moment of inertia of a solid about some axis, what is the axis and what is the density of the solid?
What is the ratio of cranberry juice to apple juice?
Find the volume of the region rotated about the given axis bounded by the graphs of e^-x, y=0, and x=0.
a) A system consists of three particles, each of mass 2.15 g, located at the corners of an equilateral triangle with sides of length 35.0 cm. What is the potential energy of the system?
the perimeter of a rectangle is 900 feet. The ratio of the length to breadth is 7:3. What is the length and breadth
What is the oldest age shared by two actors to win an award?
Use the simplex method to determine the optimal production schedule so as to maximize profits. Show that the geometric method gives the same solution.
Describe at least three (3) influences on decision making by a judge. Indicate at least two (2) reasons why you believe these influences are the most influential to the process.
What would be a reasonable density function for L?, b) What is the average distance that the worker needs to walk to the retrieval location (including units)?
A 140 in. piece of wire is divided into two pieces and each piece is bent into a square. How should this be done in order to minimize the sum of the areas of the two squares?
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