Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition
5th Edition
ISBN: 9780133311617
Author: Prentice Hall
Publisher: Prentice Hall
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Determine if its Linear or Non-Linear Equation and State the order of the differential Equation. Explain
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Determine the constant ? such that the differential equation(??^2? + 2?^2)?? + (?^3+ 4??)?? = 0is exact and solve the resulting exact equation.
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- Van der Waals Equation In Exercise 18 at the end of Section 2.3, we discussed the ideal gas law, which shows the relationship among volume V, pressure p, and temperature T for a fixed amount 1 mole of a gas. But chemists believe that in many situations, the van der Waals equation gives more accurate results. If we measure temperature T in kelvins, volume V in liters, and pressure p in atmosphere 1 atm is the pressure exerted by the atmosphere at sea level, then the relationship for carbon dioxide is given by p=0.082TV0.0433.592V2atm What volume does this equation predict for 1 mole of carbon dioxide at 500 kelvins and 100 atm?Suggestion: Consider volumes ranging from 0.1 to 1 liter.arrow_forwardWhich one is wrong here?arrow_forwardGet the differential equation and classify the result according to order, degree and linearity. Circles tangent to the x-axis.arrow_forward
- y=2xyı+y2.(yı)3 solve the differential equation My mother tongue is not English so I cannot always read handwriting please write beautifully, clearly or in computer writing thank youarrow_forwardSolve using exact differential equation, provide complete solutionarrow_forwardDefine a differential equation. Explain the difference between a first and a second-orde linear differential equation. Define a nonlinear differential equation.arrow_forward
- stanit 7 Write a differential equation of the form dy = f(x, y) that has y = g(x) as a solution, where the graph of y = g(x) is normal to every curve of the form y = x² + k (k is a constant) where they meet. Write a differential equation that is a mathematical model of the situation described.arrow_forward3. An object at 50° F is put in an environment where the temperature is 100° F. After 5 minutes the temperature of the object reaches 60° F. a) Let T represent the temperature of the object after t minutes. Write a differential equation to model this situation. ( Hint study Newton's Law of cooling application in your textbook) b) Solve the differential equation c) Find the temperature of the object after 20 minutes.arrow_forwardQuiqarrow_forward
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