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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.
A right circular cylinder has a diameter of 12 in. and a height of 12 in. If water is flowing in at the rate of 4π in3 per minute, find the rate of change of the height when the height is 4 in.
You invested $10,000 in two accounts paying 8% and 9% annual interest, respectively. If the total interest earned for the year was $860, how much was invested at each rate?
Application Problem 1G (Geometric application- See Appendix A in your textbook for formulas of geometric figures)
Find the 99% confidence interval for the proportion of the registered voter population who plan to vote for the incumbent candidate.
Based on you answers to parts a and c, how convinced are you that the new 30-gallon trash bag is the strongest such bag on the market?
Find a recurrence relation for the number of bit strings of length n that contain three consecutive 0s. What are the initial conditions?
The radius of curvature of a road at a certain turn is 50m . The width of the road is 1 Om and its outer edge is 1.5m higher than the inner edge. Find the safe speed for such an inclination.
The sail area-displacement ratio S provides a measure of the sail power available to drive a boat. For a boat with a displacement of d pounds and a sail area of A Tartan 4100, which has a sail area of 810 square feet and a displacement of 23,245 p..
s to manufacture a box with a volume of 24 cubic feet that is open on top and is twice as long as it is wide. Find the width of the box that can be produced using the minimum amount of material. Round to the nearest tenth, if necessary.
post a behavioral research situation that could use a pearson coefficient research study and a chi square research
how many milliliters of 25% acid should be added to pure acid to dilute it to 80 ml of 85% acid? What is the formula?
Consider the two probabilities listed below. Indicate which probability is greater and explain the reasons for your decision. First: The probability that a sample of 25 sixth-graders will have a sample mean of more than 110 words per minute.
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