Calculate all four second-order partial derivatives of f(x, y) = sin y) = = = 5x Y

Q: 2 dydx + f(x, y)dydx

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Q: dy b) Find the equation of a curve if gradient of the curve at point (x, y) is given by- = 2x3 + x…

A: We have to solve the problem

Q: Find y': y=- Vx* + 4

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Q: The point P(5,-2) lies on the curve y = (a) If Q is the point (x, (1) 4.9 MpQ (ii) 4.99 MpQ (iii)…

A: Given that P(5,-2) and y=24-x the equation of the curve. Q (x, 24-x) lie on the curve.

Q: Find y' for y = vTy at the point (9,1).

A: Given: y=xy ⇒y=x12y12 ⇒y12=x12

Q: Find fyx. zyx 5,6 3 f(x, y, z) = x³y2³ + xy + yºz z

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Q: Determine the function y = eax + b that best fit the data x =(3, 2, 1, 0)T ,y =(µ, 1, e,1/e)T

A: Consider the given information. y=eax+b And, x,y =(3, 2, 1, 0)T ,(µ, 1, e,1e)T=3210,µ1e1e

Q: Find f'(3), where f(t) = u(t) · v(t), u(3) = (1, 2, −1), u'(3) = (8, 1, 6), and v(t) = (t, t², t³).…

A: The given functions and function values are .The aim is to find the function value .

Q: Determine the relative extremes of F (X, Y) = 5X ^ 2 + 6Y ^ 2-XY if X + 2Y = 24

A: Given function is FX,Y=5X2+6Y2−XY and X+2Y=24. We have to find the relative extremes of the given…

Q: y = v2x + (1//2) х2 +1

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Q: dy/ dx-y/x= -y ^2 /x Is it linear ? does lt become linear with a substitution v = y^ 2? does lt…

A: given equation is  dydx-yx=-y2x

Q: Investigate the stationary values of f(x, y)=x^4+4x^2y^2-2x^2+2y^2-1

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Q: Find y' for x 3 + y-3 9. at the point (2, 1). | At (2, 1), y' Preview ||

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Q: Find of / dx and of /ay. f(x.y) = elx +y+6) of I dx = of I dy =

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Q: find the orthogonal trajectory of у^2-Сх^3-2

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Q: Does fx(x,y) when at (a,b), fy(x,y) has to be at (a,b) Explain why statement is true or explain why…

A: Let f(x, y) and its first and second derivatives are continuous at (a, b) and that, , then1) f has…

Q: If f(x.y,z)= y + xz then f ,(1,1,1) =

A: The given function is  f(x, y, z) = y5 + xz

Q: Determine the greens function for the ball B= { (x,y ) : x^2 +y^2 < 9 } x,y belongs to R^2

A: To Determine :- The green function for the ball B = x,y : x2 + y2 &lt; 9  x , y belongs to ℝ2.

Q: 7x-4y-3z = 21 -4x+7y-z = 0 -3x-y+5z = 0 x, y, z?

A: Given

Q: Vy + z f(x, у, 2) 3 (а) f(1, 5, 4) (b) f(6, 7, –2)

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Q: If ƒ (t) = (t² + 4t + 3) (4t² + 6), find ƒ'(t). f(t) =

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Q: Integrate by change of variable, ∫∫R(x + y)e((x^2)-(y^2))dA, where R is the rectangle enclosed by…

A: We need to evaluate integral.

Q: fin y" given that x^2 - xy + y^2 =3

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