ExercisesSolution of Equations having Constant Right MemberSolve the following equations1. (D² + 2D + 1)y = 12e*2. (D? + 2D + 1)y = 7e*3. (D? + 1)y = 124. (D2 + 1)y = 365. (D2 – 1)y = 24%3D

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Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter6: Rates Of Change

Section6.5: Equations Of Change: Graphical Solutions

Problem 1SBE

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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.
Projectile Motion In Exercises 75 and 76, consider the path of an object projected horizontally with a velocity of v feet per second at a height of s feet, where the model for the path is x2=v216ys. In this model (in which air resistance is disregarded), y is the height (in feet) of the projectile and x is the horizontal distance (in feet) the projectile travels. A ball is thrown from the top of a 100-foot tower with a velocity of 28 feet per second. (a) Write an equation for the parabolic path. (b) How far does the ball travel horizontally before it strikes the ground?

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Exercises Solution of Equations having Constant Right Member Solve the following equations 1. (D² + 2D + 1)y = 12e* 2. (D2 + 2D + 1)y = 7e* 3. (D2 + 1)y = 12 4. (D2 + 1)y = 36 5. (D2 – 1)y = 24 %3D