assume that , a = 0b = 6 Question No. 33.1The displacement u(x, t) of a rod is a function of position x and time t is given by the following equation.u(x, t) = [Asin (= [Asin (3x) + Bcos (3x)]. [Csin(wt) + Dcos(wt)]a +3a +37Find the value of constant k if u(x, t) satisfies the following partial differential equation3.2The ideal gas equation is given byอน อนat²k-ax²0PVRwhere T is the temperature, V is the volume, P is the pressure and R is the gas constant.TTemperature is decreasing at (a+3) units/s and pressure is increasing at (b+2) units/s Find the rate ofthe change of volume when the gas constant is 8.13 units, the temperature is 3a+10 units and thepressure is 2b+7 units.

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3.1 The displacement u(x, t) of a rod is a function of position x and time t is given by the following equation. u(x,t) = [Asin (3x) + Bcos ( $(43*)]. [Csin(wt) + Dcos(wt)] +3 Find the value of constant k if u(x, t) satisfies the following partial differential equation อน อน ax² dt² k- = 0

3.1 The displacement u(x, t) of a rod is a function of position x and time t is given by the following equation. u(x,t) = [Asin (3x) + Bcos ( $(43*)]. [Csin(wt) + Dcos(wt)] +3 Find the value of constant k if u(x, t) satisfies the following partial differential equation อน อน ax² dt² k- = 0

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 67E

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