dw 3. Given w=ln (x²+y) where x=2t , and y=4-t . Find in two ways: dt (a) Using the appropriate chain rule and (b) by substituting first, then differentiating.

Q: a) Find the differential dy, and b) evaluate dy for the given values of x and dx. y = e*/10 x = 0,…

A:

Q: Find the differential dy of the given function. y = csc 2x

A: Consider the function

Q: Assume that x and y are both in a differential functions of t and find the required values of dy/dt…

A: Given y=√x

Q: Let y = 2x2. Find the change in y, Ay when x = 5 and Ax 0.1 Find the differential dy when x = 5 and…

A: We have to solve

Q: Let y 3x?. Find the change in y, Ay when x = 2 and Ax = 0.4 Find the differential dy when x 2 and dx…

A:

Q: dy 3 Using Laplace transform, solve the differential equation dt +10y =e, y(0)= 2. 2

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 2nx - 1 cos 2 dy = ||

A: topic - derivative and differential equation

Q: dz b- Solve by chain rule to determine dx z = x²y* -2y , y = sin(x²)

A:

Q: Let y = 5a2. Find the change in y, Ay when x = 4 and Ax = 0.4 Find the differential dy when x = 4…

A: ∆y = 5(x + ∆x)^2 - 5x^2= 5(x^2 + 2x∆x + ∆x^2) - 5x^2= 5(2x∆x + ∆x^2)= 10x∆x + 5∆x^2 So when x = 4…

Q: Let y = 5x?. Find the change in y, Ay when x = 2 and Ar 0.4 Find the differential dy when a = 2 and…

A:

Q: Let y = 5a. Find the change in y, Ay when x = 4 and Ax = 0.4 Find the differential dy when x = 4 and…

A: According to question given y=5x2x=4 and ∆x=0.4We have to calculate the change in y, ∆y

Q: Q1-Use the chain rule to express dy / dx in terms of xand y: 1-1 a) y = аnd x = at 1= 2 1+1 b) y=1-…

A: Since you have posted multiple questions. I am answering the first one. Please post the question…

Q: Find the integrating factor of the following linear differential equatio rt P. 100 dP dt Select one:…

A:

Q: For a function y = g(x) the differential dy is given by:

A:

Q: Solve for the particular solution of the following differential equUations. a. (x³ + 3y)dx –- xdy;…

A: The given differential equation is: x3+3ydx-x dy=0 ;    y(1)=3

Q: Let y = 3x2. Find the change in y, Ay when x = 2 and Ax 0.4 Find the differential dy when x 2 and dx…

A:

Q: Find the differential dy of the given function.

A:

Q: Let y=e^(x/2).Find the differential dy when x=1 and dx=0.3 Find the differential dy when x=1 and…

A: Given function is The differential dy is evaluated as follows,

Q: Let y = 3x2. Find the change in y, Ay when x = 2 and Ar 0.2 Find the differential dy when x = 2 and…

A: We have to find solution

Q: Let y = 4/T. Find the change in y, Ay when a 3 and Ar Find the differential dy when x 3 and dx 0.2

A: fx=4x here x=3 f3=43 . Δx=0.2 fx+Δx=4x+Δx f3+0.2=43+0.2 f3.2=43.2 . Δy=f3.2-f3 Δy=43.2-43…

Q: If df = y(xy + 1)dx - xdy, determine if is a state function of the variables x and y, if not, what…

A: Here we have to check that df is exact or not

Q: х+1 y = 2x

A:

Q: 4. Given y = 3u² – u and u = x³ – 1, use the Chain Rule in Leibniz notation to find the value of dy…

A:

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

A:

Q: Let y = 5x?. Find the change in y, Ay when a = 3 and Ax = 0.3 Find the differential dy when x = 3…

A:

Q: . The exact differential d(xy)= xdy + ydx, what is the d( = 4x²y'dy+2xy*dx.

A:

Q: Let y = 4x“. Find the change in y, Ay when x = 3 and Ax Find the differential dy when x = 3 and dæ =…

A: Given that: y=4x2, x=3 and ∆x=0.4

Q: 7. Find the differential dy for y = x2 – 4x + 6, then evaluate it when x = 2 and dx = 0.1 -

A:

Q: The term M(x, y) dx + N(x, y) dy becomes an exact differential if the left hand side above is…

A:

Q: Given m = xe**y + sin ( xy ), x = 3k + 1, y = In ( k + 1 ). dm a) Use chain rule and partial…

A:

Q: when

A:

Q: T. Selue the ff. differential epnotion ) xy (xdy tydy) = ky'dy; when yol; x=2

A:

Q: Find the singular sol" of the differential eqh (P+1)² (y-px) = 1 -

A:

Q: Q2: Suppose the electric potential at (x, y) is given by f(x, y) = 0.5 Ln(x² + y²) estimate the…

A: In this question, we have to find the error in f(x,y) and percent relative error for the given value…

Q: Let y = 4 a. Find the change in y, Ay when x = 3 and A¤ = 0.3 %3D Find the differential dy when x =…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Find the change in y, Ay when x 1 and Ax = 0.1 Find the differential dy when x = 1 and dx 0.1

A: Let y=5x^3

Q: Find the change in y, Ay when x = 4 and Ax = 0.4 Find the differential dy when x = 4 and dæ = 0.4

A:

Q: Find the differential dy of the given function. y = √x +1/√x

A:

Q: The velocity dx/dt of a chemical reaction is proportional to (a-x), where x is the amount…

A: Solution :-

Q: 8. Compute the differential df of f(x,y) = log (x² + y²).

A: Given; f(x,y) = log(x2+ y2)

Q: a) By using the Laplace transform, solve the following differential equation UTM y" + y = 1- H(t –…

A: As per our guideline we are supposed to answer only first asked  question. Kindly repost other…

Q: Given y = 4e* + In x, find the differential dy. %3D

A:

Q: Let y = tan(4r + 4). Find the differential dy when x = 1 and dæ 0.4 Find the differential dy when x…

A: Given that, y=tan4x+4 differentiating both sides with respect to x, we get…

Q: Let y = 3a. Find the change in y, Ay when x = 1 and Ax = 0.4 Find the differential dy when x = 1 and…

A: Given that: y=3x       NOTE: As per our answering guidelines, we can only answer 1 question or 3…

Q: Find the differential dy of the given function. (LUse "cx" for dx.) x +3 3x

A: We will solve the problem

Q: 1. Given y = 4e* + In x, find the differential dy.

A: See the attachment

Q: Find the value of the differential dy for y = e7x + 2x if x = 0 and dx = 0.1.

A: d/dx(e^(mx))=m e^(mx)

Q: Let y = 2x². Find the change in y, Ay when x = 4 and Ax = 0.2 Find the differential dy when x = 4…

A: It is provided that y=2x2. We need to determine ∆y for x=4, ∆x=0.2 and We need to determine dy for…

Q: (2y² + 3x) dx + (2xy) dy = 0 .

A:

Q: Find dy/dx by using Leibniz’s notation for the chain rule: dy/dx = (dy/du) (du/dx)  y = (2 x3 − x2…

A: