| Suppose f(x, y) = 2 sin(11ry) and g(x, Y, z) = /144 – x² – y² – z². Find the following function values. s (0. ) = -0.1506

Q: Can you explain the question step by step

A: Given: z = f (x,y) , x= e^s.cos(t) ,  y= e^s.sin(t)

Q: Q2/ find dz ond dZ as function ne U and v if of Z=tan (중), X=u Cos V , 9-u sinV

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Q: Q22. If y=tan x+ tan dy is: -then dx 2 (d) 1+x (a) 0 (b) 1

A: Given function is                                          y=tan-1x+tan-11x we have to find…

Q: Find for the following function. dx 6 cos x y = 6-5 cos x dx

A: To find the derivative of y.

Q: Find for the following functions: i) y = la(z² + 4) + tanh- (§) ii) *cos y + sin 2y = zy ii) y = (1…

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Q: Find for the following function: dx 1- y = sin-1 V2x + 3 2- y = 3cot(cosx) 3- y = x*y at x = 1

A: We have to find the derivative of the following functions.

Q: Let y = f(x), where dy f(x) = = 3 Find the differential of the function. x³ + 3 3 X

A: Find the differential of function

Q: For functionf (x, y) = e*y + cos(x – y), write the first and second order full differentials

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Q: find the antiderivative F(x) of f(x)=x^2+sin(x)+3 with F(0=8

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Q: Let y = f(x), where f(x) = 5x² + 5. Find the differential of the function. dy = X

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Q: Get z = f (x,y), x= e° cos t, y = es sin t Show that it's + ) - 2 2 =e 2s + əx. əs

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Q: Q2: Find dyidx for the following function:- (1) y = In(x + 4)-xtan (4) y =x*+1) (2) xy + x*y = x +…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find f(x), the most general antiderivative of the function: f" (x) = 18x – 3 sin(x)

A: Explanation of the answer is as follows

Q: Let v(x, y) cos(4x) sinh(4y). Find f(z)with Im( f(z)) = (x, y).

A: using the concept of cauchy - Riemann equations to find u and putting  the value of u and v (given)…

Q: Get z = f(x,y), x = es cos t, y= es sin t 2 + əx. 2 2 Show that it's + at. as

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Q: Find for the following function. dx 5 cos x y= 6-7 cos x dx

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Q: Let y = f(x), where f(x) = 7x³ + 3x. Find the differential of the function. dy = X

A: The differential of y is the derivative of the function times the differential of x,

Q: Let v(x, y) = cos(4x)sinh(4y). Find f(z)with Im(f(z)) = v(x, y). I

A: Given function is v(x,y)

Q: Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8); fi-) U =

A: we can solve this as follows:

Q: Differentiate the following functions: S(x)= sinh* (v7x +1 tanh " (x* +2) +1) tanh" (x* +2) 3 a) b)…

A: Note    We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: f(x) = 9x3 + 4x.   Find the differential of the function.   dy =?

A: Given , y=fx where fx=9x3+4xwe have to find the differential dy

Q: B) Find- for following functions: дz მა 1) z = exy tan y, x = s + 2t, y = s/t. 2) z = x² + xy + y²,…

A: The objective of the question is evaluate the partial derivative of the given functions.

Q: Find the most general antiderivative of the function. f(x) = + 3 cos x

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Q: dF Q. IF the value of (t) change from x to x. Find the r(x.t) = (t-x) cos( F(x) = S(x,t) dt for…

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Q: Let y = f(x), where %3D 7 f(x) = x + Find the differential of the function. dy =

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Q: Find dz/dr if z as a two variables function in r and y is defined implicitly by y3 + x22 + r sin r…

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Q: Q1: If Z = x³ + y* + (x sin y) + (y cos x), Find Zx/Zy?

A: We are given: Z=x3+y4+(x sin y)+(y cos x)To find: ZxZy This can be calculated as follows:

Q: Find an antiderivative F(x) of the function f(x)%3D7sinx/12+cosx such that F(0)=1

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Q: Let y = f(x), where f(x) = X - 6 Find the differential of the function. dy =

A: Diffrential is just put function of y and x separate and then just find f'(x). Now put the value of…

Q: B. Find y). 1. y = cosh?x 2. y = x tan-1 x - In vx2 + 1

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Q: Find for F(X,)= Sin xy+ T Y²-x = 0

A: Given query is to find the derivative of the expression.

Q: If f(x,v) = ex In(5xy) find dy?

A: Given: fx,y=ex2ln5xy. To find: ∂2f∂y2 Solution: In partial derivative we differentiate with respect…

Q: Find the linear approximation of the function at the given point: f(x, y) = 2 sin x – 3 cos y at (0,…

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Q: Find the antiderivative of f(x)=cos(3x)

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Q: Let v(x, y) = cos(4x) sinh(4y). Find f(2)with Im(f(z)) = v(x, y).

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Q: Let v(x, y) = cos(4x) sinh(4y). Find f(z)with Im(f(z)) =v(x, y).

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Q: Find where y(x) is defined by d²y dr? (a) 3x2 – e2, (b) sin 3x + cos r, (c) 1+x – x2 + In r. - -

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Q: For the function f(x) = 2 sec (2x) tan (2x) + sin(x) + cos(x), find the most general antiderivative…

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Q: Find fa, fus and fz. f (x, y, z) = (5z)) 3z In (x*y cos

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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: Q3) For f(x,y) = Sin(x,y) find fryxy at (1,–). %3D

A: Given query is to perform indicated derivative operation.

Q: Let v(x, y) = cos(4x)sinh(4y). Find f(z)with Im(f(z)) = v(x, y).

A: using CR equation we get....

Q: (i) Find the linear approximation of the function f(x, y) = 1 - xy cos πy at (1, 1) and use it to…

A: Here, the given function is: f(x,y)=1-xycos πy To find the linear approximation of the function. For…

Q: of and dy For the function f(x.y) = sin (2x - 5y), find dx of of

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Q: The derivative of y =e' ,In(sin 2x) is a) y = eln(sin 2x) sin 2.x b) y = e a(sin 2x), cos 2.r c) y'…

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Q: Q4. Find an antiderivative F(x) of the function f(x) = 7 sinx / 13 + cosx , such that F(0) = 1.

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Q: b) Find of the functions: dx 1: f(x)= tan (2x)Vī – 3x² %3D 10 2: x tan y + y" sec x 2x 3: y= csch'…

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Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³ ; (4) y = x sinh 2x -cosh 2x (2) y…

A: We need to find derivative. As per Bartleby's guidelines we can solve one question from multiple…

Q: Admit that for all (x, y), af (х, у) — х dx se (x, y) = 4y ду calculate g' (1) = f(2 cost, sint).

A: We have to prove 4y*f'x - x*f'y = 0 Also calculate g'(t).

Q: Find for the following function: dx 4- y = In2 5- tan-1 V4x - 5

A: Topic : differentiation