The answer to question (i) and (ii) is(i) - 12(3-2x) ^-2 x 2(ii) 0 or 3How do I show the working for the solutions 12A curve has equation y =3-2xdy(1) FinddrA point moves along this curve. As the point passes through A, the x-coordinate is increasing at arate of 0.15 units per second and the y-coordinate is increasing at a rate of 0.4 units per second.(li) Find the possible x-coordinates of A.

Given: A curve has an equation y=123-2x (i) To find dydx, differentiate both sides of the given…

Answered: 12 A curve has equation y = 3-2x dy (1)…

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

Section6.2: Rates Of Change For Other Functions

Problem 15SBE

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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.
Air Temperature As dry air moves upward, it expand and, in so doing, cools at a rate of about 1°C for each 100-meter rise, up to about 12 km. (a) If the ground temperature is 20°C, write a formula for the temperature at height h. (b) What range of temperatures can be expected if an air plane lakes off and reaches a maximum height of 5 km?

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12 A curve has equation y = 3-2x dy (1) Find dr' A point moves along this curve. As the point passes through A. the x-coordinate is increasing at a rate of 0.15 units per second and the y-coordinate is increasing at a rate of 0.4 units per second. (li) Find the possible x-coordinates of A.