Suppose that a duck is swimr - perature is given by the formı v²sin x. Find dT/dt in two chain rule and (b) by expressi and differentiating. line x = 3 + 8t, y = 3 – 2t, wF

Q: Find both first partial derivatives. z = 15XVY 15xVy %3D dz az

A: We need to find partial derivative.

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A: Note: We will only answer up to three sub-parts as the exact one is not specified. Please resubmit…

Q: Find both first partial derivatives. Z = In az %3D ax az ду

A: ∂z/∂x = 1/x    ∂z/∂y= -1/y

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Q: 5. Deduce the standard linear approximation of 1 x2+y2+z2 at Po(1,2,3).

A: The general formula of the standard linear approximation for f(x,y,z) is generally given by,…

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A: Let, the given function be fx,y=x2y+3y-4 and the given point is 1,-2

Q: i) Find the orthogonal trajectories of the family of curves: y : 1+ x?

A: By Bartleby policy I have to solve only first one as these 2 are unrelated problems

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A: First do the partial differential in both the sides and then separate ∂z∂x and then put the value…

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A: Given    x-c3+y2-c23x-c=x3   differentiate  w.r.t.x    3x-c2+2ydydx-3c2=3x2⇒2ydydx=3x2-3x-c2+3c2…

Q: 4. Estimate the In (1.1) and sec (0.1) using a linear approximation and without using any kind of…

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Q: ih fcuv, w) and its partial derivatives v and w with respecttou and and are Continows that u-x-y, V=…

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Q: Find the derivative of In(3t3— 2t + 1) and then calculate  ∫ (9t2-2/3t3-2t+1) + 3 dt (use…

A: Given         ln(3t3-2t+1)

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A: SOLUTION-

Q: Find both first partial derivatives. z = sinh(7x + 16y) az ax az ду

A: From the given problem: z=sinh7x+16y As we know that: The chain rule: fgx'=f'gx·g'x The Power law:…

Q: If z = f (x, y) is a function that admits second continuous partial derivatives such that image1 A…

A: Given z=fx,y such that ∇fx,y=300−12x2−12y2,18y2−24xy. Here, ∇fx,y=fx,fy=300−12x2−12y2,18y2−24xy.…

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A: Given that, ϕx,y=4xy    ...1. Let the points be, x1,y1=1,4 and x2,y2=4,4. Consider the velocity…

Q: Let æ – 3y3 – z° + 2xyz – 398 = 0. dz dz and at the point (– 1, – 5, – 4). Use partial derivatives…

A: i am solving 1st question for 2nd question repost.

Q: Find both first partial derivatives. z = cos(10xy) az ax az ||

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Q: Give 1 problem of partial differentiation of function of U with respect to 3 independent variables…

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Q: Find both first partial derivatives. z 13XVY az az ду

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Q: Find both first partial derivatives. Z = 13xVy az %3D az %3D ay

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Q: ih fcuv,w) and its partial derivatives with respect tou and v and w and are Continous that usx-, V=…

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Q: Find both first partial derivatives. z = 9xVy az az ду || ||

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Q: Give the family of orthogonal trajectories of y^2=Cx^5+5.

A: To find →Family of orthogonal trajectories of y2=cx2+5 -1

Q: Find the first partial derivative of w = In(1 + )at (2,0, – 1).

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Q: [1] Determine the orthogonal trajectories of y(1+2x²)=ax.

A: The given equation is:y1+2x2=axy=ax1+2x2              ..............(1) Determine the orthogonal…

Q: Find both first partial derivatives. z = 14y²Vx az ax az ду eBook

A: We have to find

Q: Find both first partial derivatives. az ax az ay

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Q: Find the Linearizat ion of Non lineah Relations hip Y= (ax+

A: This is the problem of linearization, application of differential calculus.

Q: Find both first partial derivatives. z = 3xVy az ax az ду || ||

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Q: 2. Show that cos(wt – B), coswt, sinwt are linearly dependent functions of t. Show Complete Solution

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Q: Compute the partial derivatives: z = sinh(r²y^) az ||

A: We will find out the required values.

Q: Find both first partial derivatives. z = sinh(7x + 5y) az ax az ду || ||

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Q: Find both first partial derivatives. z = exy az ax az ду Submit Answer II II

A: In this question we have to find partial derivatives. In partial derivatives we have to find…

Q: Find both first partial derivatives. z = In() az дх az ду ||

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Q: Let – 4x – 2y – 5z* – 4xyz + 619 = 0. az Use partial derivatives to calculate dz at the point (6, 5,…

A: let -4x3-2y3-5z3-4xyz+619=0 to calculate  ∂z∂x and ∂z∂y at the point 6,5,-3

Q: If z-f (x y): then its total differential can be expressed as * (),中 (). dyds dy + dz O Option 2 O…

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Q: d²x dx 5 dt2 2- 3x = -9t2 – 1 - - dt dx When t = 0, x = 1, = 0, find x when t = 2 dy %3D -

A: Please see the below picture for detailed solution.

Q: Compute the derivative of g(x) .3 = [ 1 dt- 1+ t5 3x2 1+ x15 1+ 25x 3x2 2" In 2 1+ x15 1+ 25a 23 1+…

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Q: Find the linearization of ƒ(x) = 2x at x = 0. Then round its coefficients to two decimal places.

A: Given function is,

Q: Find the partial derivative. 2 = (r² + 5z – 6y)“ az ||

A: The given function is: z=x2+5x-6y4

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Q: Suppose a particular investor derives utility function - U(x, y) - from owning x units of stocks and…

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