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An equation which involves partial derivatives of a function f(x, y) (or f(x,t) or f(x,y,z), etc.) is called a partial differential equation or simply a POE. The study of PDE's could easily fill an entire semester course by itself. Deriving solutions to PDE_s and understanding the implications of a solution can be challenging. For the purposes of this course, you should know two things:
i) the physical basis underlying a specific PDE, and
ii) given a function, you should be able to verify whether or not it satisfies a specific PDE.
find the volume of the solid. The lower limit of integration is a. The upper limit of integration is b. The base of the triangular cross-section is the following function of y. The area of the triangular cross-section is A(y)=
Discuss the difference between negligence and an intentional torts. Analyze and evaluate the various issues presented while arguing and debating the connections between business, law, politics, and ethics.
The length of a rectangle is increasing at a rate of 2 ft. per second, while the width is increasing at a rate of 1 ft. per second. When the length is 4 ft. and the width is 5 ft., how fast, in square feet per second, is the area increasing?
In triangle ABC, the lengths of line AB and line BC equal 13 centimeters. If the perimeter of triangle ABC is 36 centimeters, what is the area in square centimeters of triangle ABC?
What effect does changing the level of con?dence have on the sample size? Explain.
What is depreciation expense for the first year
find the velocity at which the part is moved after 5.0 s of each period.
Stating the null & alternate hypotheses
Assume you have noted the following prices for paperback books and the number of pages that each book contains. Develop a least-squares estimated regression line.
Quiz 6. Use a double integral to find the area of the region of points that lie inside the circle (x - 1)2 + y2 = 1 and outside the circle x2 + y2 = 1
Find the sum of the series. Use a graphing utility to find the indicated partial sum and complete the table. (Round your answers to four decimal places.)
A woman with a resting heart rate of 85 beats per minuteshould keep her heart rate between 139 and 157 beats per minute while excersising. She checks her pulse for 10 seconds while exercising. What should the numbers of beat be?
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