a) Find the total differential for the following function z = f(x,y) = xy + y xb) Use Chain Rule for find, and if z x = st, at For the function x² + 2y²+3z² = 6, find and Əz 3x az y= s²-t².

Q: et Evaluate the derivative: da 4 S (3t2 – 2t + 4) dæ.

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Q: b) Consider the second-order truncation error (0 (Ax)2) with the step size (-Ax) and then, obtain a…

A: The truncation error is O∆x2 and the step size is -∆x

Q: 1. Find the first differentiation of this equation: a. y = (Sx2-3)a b. y = (4x2 – 7)3 c. y Sx+6…

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Q: Find the indicated derivative. "针 1 if p = Vq+7 dq Select one: A.-, (q +7Wq+7 B. 1. + bML+bz C.…

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Q: Derivative of y = 16 is: a) 1 b) 0 Derivative of f(x) = - 6x + 2 is: a) - 4 b) 2 Derivative of g(x)…

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Q: find the first and the second derivative of these equation , first as a function of z then as a…

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

Q: d) Consider the fourth-order truncation error (0(Ax )4) with the step size Ax and also (-Ax) then,…

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Q: -심슨 (005년들 - 1) = 8월 (10000) cos 8A W²t W G(W) = -4A 84 w²z 2 sin we 4 AT sin we Wt 4 2 1 agctu 2A 를…

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Q: Find the derivative of the function at P, in the direction of A. 0. fxy,2) 3D ху + yz +zx, Pо(3, -…

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Q: of and ду of Consider the function f(x,y) = 9x' - 4y - 2. Find -

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Q: Let f(x, y, z) = x² + yz, g(x, y) = y³ + xy. Use the chain rule to find the derivative of the…

A: As you don't want handwritten answer, I have used LaTeX.

Q: B3. (a) Let y be a function of x, defined implicitly by the equation x?y + y3 + x = 0. Find the…

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Q: (u(t)xv(t)) = 00)

A: Given that the expression

Q: Find for the function defined implicitly by x?y + ay? = b, where a and dx b are fixed constant. For…

A: The given equation is x2y+ay2=b, where a and b are the constants.

Q: For the function f(x,y) = sin (3x − 7y), find of of dy of af and ?x ду

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Q: Determine which of the following pairs of functions are linearly independent. NO_ANSWER f(x) =e5 "…

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Q: Which of the following pair of functions is linearly independent? (a) e3*, e(x-3) (b) 4, sin?x +…

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Q: EX: Find the F.T. of the triangular pulse: g(t) = AA ( + ) Sols Apply differentiation property of…

A: We need to derive the expression: Aτ2sinwτ4wτ42 from the expression: 8Aw2τsin2wτ4. The expression:…

Q: f(x) = x³ - 5ex + 7x Find the first 2 values of the derivative vector when the derivative of the…

A: Given: The function, fx=x3-5ex+7x.   To Find: The first 2 values of the derivative vector when the…

Q: c) Consider the third-order truncation error (0 (Ax )³) with the step size Ax and also (-Ax) then,…

A: The truncation error is of order O∆x3 The step length are ∆x, -∆x

Q: chain rule to differentiate the following 1 y = sec 4 sec* (√x + 3)

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Q: a) Find the derivative of f(x, y, z) = 4zx – xy² – z,at P,(1,0, 2) in the direction of v = 4i – 5j +…

A: Given: The function, fx, y, z=4zx3-xy2-z at P01,0,2 in the direction of v=4i-5j+40k.

Q: 3. Find the derivative of the function f(r, y, ) = xy + yz+ the direction A = 3i + 6j – 2k. zr at…

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Q: Calculate the derivative of the function. Then find the value of the derivative as specified. dr 6.…

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Q: Determine the dependent variable independent variable type pde/ode order degree linearity

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Q: Find the derivative, g' (x) for the function 1 t -dt 1+t3 g(x) = 3z+2 9z+6 1+(3z+2) (1+(3z+2)*)-…

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 17) y =x*in x -x3 A) 4x3 - x2…

A: Given, Find derivative of y=x4lnx-13x3 with respect to x