Consider the one-form y4 W = dæ + (4 ln(10x)y³ + 13y) dy on {(x, y) E R² | x > 0}. If the one-form is exact, find a function f(x,y) such that w = df. If it is not exact, enter DNE. f(x, y)

Q: Find the differential dy of the function y = 3x ' O a) dx b) 3x dr c) x 4 In(3) 3 d) dx e) 글x dx

A: We are given y =3x^(1/4)  To find dy just differentiate y with respect to x

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Q: (a) Find the differential dy. y = tan(x) dy = (b) Evaluate dy for the given values of x and dx. x =…

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Q: 1. Find the total derivative dz/dy, given (a) z = f(x, y) = 5x + xy - y2, where x = g(y) = 3y² (b)…

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Q: Let y = 5√√/T. Find the change in y, Ay when x P 3 and Ax 0.2 = Find the differential dy when x = 3…

A: Given the function y=5x

Q: Given (x+ y}* – ( x - v}² = x* + y^, find dy/dx using implicit differentiation. A. - 2- E. None of…

A: Given x+y2-x-y2 =x4+y4. We have to find dydx  using implicit differentiation.

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Q: (a) Find the differential dy of y = e#/5. (b) Evaluate dy for a = 0, dx = .1. (a) dy = dx (b) dy =

A: Solved below

Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 1 4x - 1 dy = y = 5 (4x-1)² X

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Q: (a)Find the differential dy of the given function y =e* tan x (b) Use the information to evaluate…

A: Differentiate wrt x

Q: (a) Find the differential dy. y = et/4 - Ap (b) Evaluate dy for the given values of x and dx. x - 0,…

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Q: Let y = 4x. %3D Find the change in y, Ay when x = 5 and Ar = 0.4 Find the differential dy when x = 5…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find dy/dx implicitly and find the largest interval of the form -a < y < a or 0 < y < a such that y…

A: follow the procedure given below.

Q: Assuming 8x³ - 10y² - 2xy = 0 defines y as a differentiable function of x, use the theorem dx dy dx…

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Q: Q2// B :- If u+v3e"cos y and u- v=e' sin y find the Jacobain of the function alu,v at dx.yl (x.y)…

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Q: Construct the Green's function for d²y dx² dy + (k?x² – 1)y = 0, + x dx subject to the boundary…

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Q: (a) Find the differential dy. y = 5 tan x dy = (b) Evaluate dy for the given values of x and dx. x =…

A: Formula used:  ddxa.x=a.ddxx ddxtan x= sec2x

Q: Assume x and y are functions of t. Evaluate dy,dt for each of the following.:…

A: We have the given function in x and y as 2xy-5x+3y3=-51 On differentiating both of the side with…

Q: (a) Find the differential dy of y = x² + 2x + 5. (b) Evaluate dy for x = 3, dx = 1/2. (а) dy 3 dx…

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Q: (a) Find the differential dy. y = cos(Tx) dy = (b) Evaluate dy for the given values of x and dx.…

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Q: Where is the function f(x, y) = e' arctan (VI+In(x+y)

A: In this question, the concept of continuity is applied. Given function is fx,y=etan-11+lnx+y

Q: (a) Find the differential dy. y = cos(TX) dy = (b) Evaluate dy for the given values of x and dx.…

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Q: Find the differential and evaluate for the given x and d/x of the function, y = 3x2- x+ 6, x = 2, dx…

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Q: Let y = 5,a. %3D Find the change in y, Ay when r = 5 and Ar = 0.2 Find the differential dy when r =…

A: Our problem is let y=5√x First, it is easiest to take the derivative of this when in a different…

Q: (a) Find the differential dy. y = tan(x) dy = sec?(x) (b) Evaluate dy for the given values of x and…

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Q: Given y=u^3−u+1 and u=1−x/1+x​, find dy/dx​ at x=0

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Q: (a) Find the differential dy. y = tan(x) dy = (b) Evaluate dy for the given values of x and dx. x =…

A: y=tan(x)

Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 1 5x − 7 dy = | y = X

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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: Assuming 9x° – 5y - 4xy = 0 defines y as a differentiable function of x, use the theorem dx - to…

A: Given: 9x3-5y2-4xy=0 We have to calculate dydx(1,1) by the given formula.

Q: Find the differential dy of the given function. (Use "dx" for dx.) 8 y = 2√x + 4 dx *- (√x +++1)x dy…

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Q: Find the linearization L(x) of y = e3" ln(x) at a = 1. %3D L(x) = ||

A: See the details solution in the details solution

Q: (a) Find the differential dy. V3 + x2 dy = (22+3)() (b) Evaluate dy for the given values of x and…

A: Given query is find the differential of y and its value.

Q: Assume x and y are functions of t. Evaluate dy for 4xy - 7x+4y3 = - 48, with the conditions dt dx =…

A: Explained below

Q: For a function y = g(x) the differential dy is given by: O A. dy = g'(x)dx O B. dy = g'(u)dx O C. dy…

A: Write differential in general expression

Q: Use the differential dy to approximate Ay when x changes as indicated. y = V3x – 2; from x = 2 to x…

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Q: (a) Find the differential dy. y = V 24 + x dy = (b) Evaluate dy for the given values of x and dx.…

A: Topic = Derivative

Q: (a) Find the differential dy. y = e/3 dy = (b) Evaluate dy for the given values of x and dx. x = 0,…

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Q: (a) Find the differential dy. 1 y = x +1 dy = (x+1)? (b) Evaluate dy for the given values of x and…

A: Solution-  y= 1/(x+1) We know dy/dx = d/dx(1/(1+x))             = [1× d/dx(1+x) - (1+x)…

Q: (a) Find the differential dy. y = V3 + x2 dy = (b) Evaluate dy for the given values of x and dx. x =…

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Q: If f(x, y) = 16e * cos x + 4 cot y, then the total differential of f at (0, is: O df = 16 dæ – 8 dy…

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Q: (a) Find the differential dy. y = V 15 + x dy (b) Evaluate dy for the given values of x and dx. x =…

A: we know that ,  y = f ( x )  dy = f ' ( x ) dx

Q: Suppose x, y, and z are positive functions of t. If z x + y?, dx/dt 1, and dy/dt 2, find dz/dt when…

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Q: implicitly dx

A: Solved below

Q: Show that there exist constants 0 < A < B <∞ such that, for every y, z ER with A В 1 dx < ly – z|3…

A: We need to prove that there exist positive and finite constants A≤B such that, Ay-z13≤∫ℝ1x-y23…

Q: (a) Find the differential dy. y = V 24 + x2 dy = (b) Evaluate dy for the given values of x and dx. X…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 7/7/7/72 dy= (3x72xx)dx y =…

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Q: Use the differential dy to approximate Ay when x changes as indicated. y = V 3x – 2; from x = 2 to x…

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