Find the differential of w = x ev sin z at the point (x, y, z) = (1, 1, 0). %3D O dy + dz O dy O dx + dy da O dx + dz dz O dx + dy + dz

Q: z = e*sin y, Mo (1,2) 6

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Q: Find the total differential of the function. f(x, y) = x?e6y + y In(x) df =

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Q: calculate the total differential dz for  z= x sinh(xy) + y^2 e^(x/y)

A: Given: z=xsinh(xy)+y2exy .

Q: Determine the solution of the differential de +y cot x = cosx O a. ycos I : sin'z +e o b. ycos x =…

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Q: Let z = f(x,y) = 2x² – xy. a) Find the differential dz. b) Compute the value of dz if (x, y) changes…

A: Here we use formula of partial derivative to find dz We have,         dz=∂z∂xdx+∂z∂ydy

Q: Find the total differential of the function f(x, y) = 3 x2 + 4 xy + 2 x %3D df = ( ?) dx + ( ?) dy

A: given f(x,y)=3x2+4xy+2xrewritef(x,y)=3x2+2x+4xytotal differential of the function is given…

Q: (a) Find the differential dy. y = V 15 + x2 dy = (b) Evaluate dy for the given values of x and dx.…

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Q: (a) Find the differential dy. y = ex/4 dy = %3D (b) Evaluate dy for the given values of x and dx x =…

A: we have to derivative

Q: px+y e- dt = xy %3| dy dx |(x,y)=(0,0) y satisfies the given integral. Find the derivative of y at…

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Q: Find the total differential. z = x cos(y) – y cos(x) dz =

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Q: (0. ) : If f(x, y) = 12e cos x + 3 cot y, then the total differential of f at is : J, df = -12 dx 6…

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Q: Find the line integral of ƒ(x, y) = x - y + 3 along the curver(t) = (cos t)i + (sin t)j, 0 <_ t…

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Q: Find the differential of a) y=s/5+3s b) y = e−u cos(u)

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Q: Find the total differential of the function f(x, y, z) = 4 ryz2 df ? dx + ? dy + ? dz

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Q: If f(x, y) = 17e* cos x + 6 cot y, then the total differential of ƒ at ( 0, ÷) i : O df = 17 dx + 12…

A: f(x,y)=17e-xcos x +6 cot y

Q: The total differential of the function: z=x*e3y . .A dz = e 3Y dx +3x“dy. .B dz = 3x"e3Y dx +4x°edy.…

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Q: Consider the differential du= yz dx+ xz dy+ xy dz. Determine whether the differential is exact and…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) 7 y = 6√x + dy = 3 x 1 1/2 x I 3…

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Q: Find the total differential. z = x cos(y) - y cos(x) dz = (No Response)

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Q: Find the differential of the function. y = V 4 + cos(0) dy =

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Q: Write the differential dw in terms of the differentials of the independent variables. w = f(x.y.z) =…

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Q: Write the differential dw in terms of the differentials of the independent variables. w f(x,y,z)-…

A: To calculate the total differential dw for the given function of three independent variables

Q: Find the differential dy. (a) y = xv10 – x %3D dy %3D (b) y = (1+ x) 6 dy

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Q: Write the approximate change formula for a function z = ƒ(x, y) at the point (x, y) in terms of…

A: Consider the following function: z=fx,y

Q: (a) Find the differential dy. y = tan x dy = %3D (b) Evaluate dy for the given values of a and dæ. I…

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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 = 2 /T. Find the change in y, Ay when x = 1 and Ax = 0.3 %3D %3D Find the differential dy when…

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Q: If f(x, y) = 19e CoS I +7 cot y, then the total differential of fat (0.) is: 4 O df= 19 dr + 14 dy…

A: Let the function is f(x, y)=19e-xcos x+7cot y Total differential is defined as df=fx(x, y) dx+fy(x,…

Q: Find the total differential dw. 4. w = e*" – sin(yz) -

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Q: (a) Find the differential dy. y = V 24 + x2 dy = V 24 +x?

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Q: Find the differential of the function w = x* sin(y z' ) dw dx+ dy+ dz %3|

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Q: Let y = (x + 3). %3D Find the differential dy when z = 2 and dz = 0.2 Find the differential dy when…

A: Given:  y=(x2+3)5  Differentating y with respect to xdydx=ddx(x2+3)5Using differential power rule…

Q: Which of these differentials is exact? (only one of them is exact) (1 – 2xy)dx + (x² + y²) dy O (22…

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Q: Write the differential dw in terms of the differentials of the independent variables. w =…

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Q: Find the differential of the function. Z = e cos(2nt) dz = dx + dt

A: Given,

Q: Find the differential of the function f (x, y, z) = sin x?y³z4. %3D O 2xy³z* cos a?y³ zªd« O 2xy®z*…

A: Given f(x,y,z)=sin(x2y3z4)=ddx(sin(x2y3z4))We know that sin(x)'=cos(x)=cos(y3z4x2)*ddx(x2y3z4)

Q: The total differential of g(x, y) = e*z²-y is at A(1,4) is %3D Select one: a. dg(A)=(8-1)e^(0) O b.…

A: Consider the following function: gx,y=e4x2-y Differentiate gx,y with respect to x taking y as…

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 5x2 − 2 dy =  y = 5x −…

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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: Find the total differential. z = x cos(y) -y cos(x) dz %3D

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

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: If f(x, y) = 22e¯ª cos x + 4 cot y, then the (0, is total differential of f at - O df = 22 dæ + 8 dy…

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Q: Find the total differential. z = x sin xy

A: Given: z=x sinxy To determine: The total differential of the given function.

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: Find the differential of the function w = z sin(y'z?) dw = dz+ dz +hp

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Q: Find the total differential of w ze(z+y) at (0,0, 1).

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Q: Find the differential of the function, y = v1+x O 1) dy = Vx+1 O 2) dy = 2vx +1 O 3) dy = %3D 1 O 4)…

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Q: If f(x, y) the total differential of f at (0, ) i 16e Cos x + 7 cot y, then the total differential…

A: Total differential

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 total differential of the function f(2, y,) : y + z' df = dæ + dy + dz (y+2)* (y+2)* y+z dz…

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