Let y = f (z) be the particular solution to the differential equation-3r y with initial condition f (3) = 2. Write an equation for the linetangent to the graph of fat the point (3, 2). Particle PI (seconds)511v(t) (meters per second)35.5713The velocity of a particle, P, moving along the x-axis is modeled by a differentiablefunction v, where time t is measured in seconds and v(t) is measured in meters persecond. Selected values of v(t) are shown in the table above.

Consider the differentiate equation dydx=-3x2y3 Here, the objective is to find the equation of the…

Answered: Let y = f (z) be the particular…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 63E

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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?
The displacement from equilibrium of an oscillating weight suspended by a spring is given by y(t)=3sin(t/4), where y is the displacement in feet and t is the time in seconds. Complete the table Use the table feature of a graphing utility to determine when the displacement is maximum. Use the table feature of the graphing utility to approximate the time t (0 < t < 8) when the weight reaches equilibrium.
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.

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Let y = f (z) be the particular solution to the differential equation = -3z'y with initial condition f (3) = 2. Write an equation for the line tangent to the graph of fat the point (3, 2).