If a current I passes through a resistor with resistance R ,Ohm’s Law states that the voltage drop is V= RI . If V  isconstant R and is measured with a certain error, use differentials to show that the relative error in calculating is Iapproximately the same (in magnitude) as the relative errorin R  .

Q: The pressure, volume, and temperature of a mole of an ideal gas are related by the equation PV =…

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Q: Use computer software to obtain a direction field for the given differential equation. Sketch an…

A: Use computer software to obtain a direction field for the given differential equation. Sketch an…

Q: Given the function y = x3 + x² + x + 10, suppose x increases from 1 to 1.1. Find the absolute error…

A: We will find out the required value of absolute and percentage error.

Q: find the differentials of the first and second orders u=xyz

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Q: Match the appropriate slope field with the differential equation y'=+2. 事 B.

A: given differential equation y'=xy2+2 claim- to find the slope field of the given equation definition…

Q: The charge g= g(t) in the capacitor in an RLC circuit satisfies the differential equation da 800 dt…

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Q: Prove that if the family of integral curves of the differential equation is cut by the line x = k,…

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Q: If the length of the subnormal at any point Pon the curve is directly proportional to OP² , where O…

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Q: Prove that the change in the dependent variable z = g´(y) transforms the equation in a linear…

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Q: Find the total differential of the following:  z= xsinxy

A: The  total differential equation is dz=∂z∂x·dx+∂z∂y·dy. The given function of x and y is z=xsinxy.…

Q: Find the differential equation of the family of circles with fixed radius, r=a+b,and tangent to the…

A: I am attaching image so that you understand each and every step.

Q: Find the differential operator which will annihilate the function 2x + r³ – sin 2r.

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Q: Write the differential equation for each of the curves determined by the given conditions.

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Q: A jar contains 100 mL of a certain substance which, when heated to tt degrees Celsius contains E(t)…

A: Given: Et=2.3t2-4.5δt=0.2t=60 To determine: The value of dEdt and the possible error in the…

Q: Eliminate the arbitrary constants (a, b) in the function to obtain the differentialequation. e* =…

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Q: 3: The dimensions of a rectangular box are measured to be 75 cm, 60 cm, and 40 cm, and each…

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Q: 15. Use differentials to approximate V26.

A: To approximate263

Q: y +y= secx

A: We have to solve the problem

Q: Consider the differential equation x¨(t) + x(t) = 5t2 − 2 cos 2t.  Write down the ansatz for xp…

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Q: S(«,9) =7+3y Also, find the total differential of the function.

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Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

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Q: Find the general solution of the following second order differential equa d.x dt? dt

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Q: A direction field is given below. Which of the following represents its differential equation?

A: The given direction field is,

Q: Derive a differential equation for the orthogonal trajectories of the family  of curves xy=c

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Q: According to the ideal gas law, the pressure P, temperature T, and volume V of a confined gas are…

A: To find out the change in pressure using the differentials.

Q: find the third-order differentials z=e^x * cos y

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Q: Estimate the value of 217(1/3) a. approximation b. differentials

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Q: Estimate Ay using differentials for the given function and the given values of a and dr 2/3 y =xe-,…

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Q: For small, slowly falling objects, the assumption made in the text that the drag force is…

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Q: A jar contains 100 mL of a certain substance which, when heated to t degrees Celsius contains E(t) =…

A: the given function for the thermal energy is E(t)=2.3t2-4.5 and as the thermometer is accurate to…

Q: Use a linear approximation (or differentials) to estimate the given number. (Round your answer to…

A: For linear approximation we have f(x) = f(y) + f'(y) (x-y)

Q: 2uvdv + 2u?du – v²du = 0 %3D

A: Given that: 2uvdv+2u3du-v2du=0

Q: what is the differential coefficient of x.

A: To find differential coefficient of x we need to differentiate x with respect to x.

Q: Find the differential equation by eliminating arbitrary constants "A" and "B" from the family of…

A: The given family of curves                    y=Acos12x+Bsin12x , where A and B are constants.

Q: Which of the following function can be used as an integrating factor for the non-exact differential…

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Q: Compute the approximate value using differentials. /272 √234 The final answer should be in fractions…

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Q: . Find the golution for the following differential equation using integrating factor. +ty-1 0 dt

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Q: The differential operator D4 annihilates the functions

A: we have to find the functions which are annihilated by the differential operator D4…

Q: Construct a table of similarities and differences for Legendre, Laguerre and Hermite differential…

A: to construct a table of similarities and differences for legendre , laguerre and hermite…

Q: Use a linear approximation (or differentials) to estimate the given  number. 28. cos 29°

A: In linear approximation, we estimate the value of the given function or number using the tangent…

Q: 8. Use a linear approximation or differentials to estimate the value of v15, knowing the exact value…

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Q: Use a linear approximation (or differentials) to estimate the given number. e−0.01

A: Let f(x) = ex, where x = –0.01. Then f(0) = 1.

Q: Determine which of the given differentials is/are exact. In case it is exact, find the functions of…

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Q: Xoly-yolx- Jrig? dXこ0

A: For checking the function is homogeneous or not , firstly we find dydx and then we calculate the…

Q: Verify if the given function is a solution of the indicated differential equati 1. y = In sin( x +…

A: Since you have asked multiple questions in a single request. so we will answer only the first…

Q: (1/4) Estimate the value of 82 a. approximation b. differentials

A: To estimate the value of 8214 by using a approximationb differentials

Q: Consider the direction field below for a differential equation. U

A: Given,

Q: Find the approximate value of the following by use of differentials. 1. √626

A: Since you have posted multiple question in this question which are not interlinked so i have solved…