Find f-(x, y) and fy(x, y). f(z, y) = (y° tan(5z)) f-(x, y) fy(x, y) =

Q: find the integrating factor of cos(x)y'+sin (x)y=2cos^3(x)sin(x)-1

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Q: sec" y dy- (f) tan y

A: Topic = Integration

Q: (2y cosx + sin“ x)dx = sin x dy ,when x =",y = 1 5y= 1 %3D X 2

A: 2ycosx+sin4xdx=sinxdy,   x=π2,   y=1:A first order linear ODE has the form of y'x+pxy=qxLet y be the…

Q: Find the first partial derivatives with respect to x, y, and z.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the first partial derivatives with respect to x, y, and z.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: (x – cos y)dx – sin ydy = 0 Of (x, y) = -xe-# +e-* cos y + k (y) ;f (r, y) = -e- sin y dy +k (y) Of…

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Q: Find the differential of the function w=x^5sin⁡(y^5z^4) dw=  dx+  dy+  dz

A: Differential of a function is simply the derivative of a function. Also, d(uv) = u.dv + du.v

Q: Find the indicated partial derivative. f(r, y, :) = e"vz*; fzyz fxyz(x, Y, z) =

A: Given: f(x,y,z)=exyz3 To find: fxyz=?   Required formulas: Power rule: ddxxn=nxn-1 Product rule:…

Q: Use the Chain Rule to evaluate the partial derivative at the point (r, 0) = (2/2, 7) where g(x, y) =…

A: According to our policy at Bartleby, I can solve only 1 question. Given a function : g(x,y)=12x+5y2…

Q: Find the general solution to the ODE using the method of Variation of Parameters: y" + y= cos² x

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Q: Find dz/dx and dz/dy for: x² sin (y³) + xe32 – cos(z²) = 3y – 6z + 8

A: Here, the given equation is: x2sin(y3)+xe3z-cos(z2)=3y-6z+8...(1) So, z is a function of x and y

Q: find a function z = ƒ(x, y) whose partial derivatives are as given, or explain why this is…

A: From both partial derivatives, we try to get a form for f(x,y). On the sin(xy) part we use by parts…

Q: Could I get help finding all the second order derivatives please?

A: Given

Q: Find both first partial derivatives. xy (x, y) = x + y? (X, v) = (X, y) -

A: Question is solved.

Q: Find the given partial derivative. f(x, y) = 2 sin(6x² – y). fy(0, ) =?

A: First we find the partial derivative with respect to y

Q: Find the first partial derivatives with respect to x, y, and z. f(x, y, z) = 2x?y - 4xyz + 8yz? %3!…

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Q: Find the partial derivative of the function g(r,0) = r cos 0 + r sin 0.

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Q: F(x, y, z) = (6x° sin(y) + cos(18z), xº cos(y), – 18x sin(18z) + 6z°)

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Q: For the function g(x, y) = (x y + x) cos (3 x + y) calculate the second order partial derivative gyy…

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Q: Find the first partial derivatives of f(x, y) = 4x cos(x2 + y?). %3D

A: Given fx,y=4xcosx2+y2

Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = sec-1 (x + yz)

A: Given that f(x, y, z)=sec-1(x+yz)

Q: 3. f(x,y) tanx - sec²x - cosy

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Q: Find the first partial derivatives of f(x,y) = 2 ex"y of II

A: Consider the given function. fx,y=2ex10y The objective of the problem is to find the first partial…

Q: Find the differential dz of the function f(x,y)=4y2+x2y−2xy and use it to approximate Δz at point…

A: Find the differential dz of the function f(x,y)=4y2+x2y−2xy and use it to approximate Δz at point…

Q: B. Find the indicated partial derivatives: af af 7. fls.y) = cn{«-y?), y

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Q: Compute the differential dz of the function. z = x*y" ,7,,11 dz

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Q: Find the general solution for (cosx)y' = 1 – y² consider y, (x) = sinx. %3D

A: Given:  cosxy'=1-y2                  1          , y1x=sinx Let y=y1+u be a solution of (1)…

Q: ompute the partial derivative: (1, y) = cos(x+ – 6y) -(0, т) —

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Q: (2y cosx + sin* x)dx sin x dy, when x = y = =,y= 1

A: Given - 2ycosx + sin3xdx = sinx dy , when x = π2, y = 1 To find - Solve the following differential…

Q: 2- Find of y = dy dx y %3D /cos-1(In (xy))

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Q: Let y = tan(2x +5). Find the differential dy when x 3 and dr = 0.1 Find the differential dy when z =…

A: Given that y=tan(2x+5) find the differential dy when x=3 and dx=0.1 find the differential dy when…

Q: Find the all the 1st order partial derivatives of the function f(x, y,z)= Vx² +z-2 + sin

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Q: Find the partial derivative. f(x,y)=x^3+5x^2y-8xy^3. Find fy(x,y)

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Q: What is the result of the partial derivative 3(z² + y sin (z)) Select one: a. 2a + y * cos(x)

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Q: Use the Chain Rule to calculate the partial derivatives д(т, у) — sin (т? + у?), х— 4и — v, у — —…

A: Given g(x, y)=sin(x2+y2) ,x= 4u-v and y=-(2u+2v)

Q: Compute the partial derivative: f(x, y) = sin(x® – 5y) fy(0, T) =

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Q: Find the indicated partial derivatives. TC f(x, y, z) = v sin²(x) + sin2(y) + sin2(z); f0, 0,

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Q: Use the Chain Rule to evaluate the partial derivative g at the point (r, 0) = (2/2, 7) where g(x, y)…

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

Q: Compute the partial derivative: f(x, y) = sin (x* – 6y) f„(0, 7) =U

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

Q: Find the differential of the function. y = V 4 + cos(0) -2 sin (0) dy V 4+ cos (0)

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Q: cos y f(x, у, z) -D xz2 XZ

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Q: Compute the partial derivative: f(x, y) = sin (a- 6y) f,(0, T) =

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Q: dg Use the Chain Rule to evaluate the partial derivative at the point (r, 0) = (2/2, 7 where g(x, y)…

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Q: Find the first partial derivatives with respect to x, y, and z.…

A: The given function is f(x, y, z) = 3x2y − 5xyz + 10yz2

Q: (b) Find the partial derivative at point (u,v) = (-4,0) of w = In(xª + yß + zª),x = ue"sinu, y =…

A: Chain rule:  Suppose that  are differentiable functions of and  is a differentiable function of .…

Q: find the partial derivative of the function with respectto each variable. h(x, y, z) = sin (2πx + y…

A: We have to find the partial derivative of the function with respect to each variable   The given…

Q: ди + 3x- = 1 + u, dx ди -co 0, dt u(x, 0) = f(x).

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Q: Use the Chain Rule to evaluate the partial derivative at the point (r, 0) = (2V2, ), where g(x, y) :…

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Q: Use the Chain Rule to calculate the partial derivative. Express the answer in terms of the…

A: Given functions are

Q: Find both first partial derivatives. f(x, y) = 3x - 9y + 8 F,(x, y) f,lx, y) = |

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