If x'y²z3 + zx sin y = 5 defines z as a function of x and y, find . O A. 3x2y2z² +x sin y 2xy2z3 + z sin y O B. 2xy2z3 + z sin y 3x2y²z2 + x sin y O C. 3x²y²z² + x sin y 2xy2z3 + z sin y O D. 2xy2z3 +z sin y 3x2y2z2 + x sin y O E. 2xy2z³ +z cos y 3x2v²z² + x cos y

Q: 3 For the function z = 2x³-8y² - 2xy, find 立|み 11 x²(-2,-2)= (Simplify your apcwor) əz əz dx' dy' a…

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Q: (b) How can you use vectors to determine whether four points in 3-space lie in the same plane? 2.

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Find the constants m and b in the linear function y = f(x)= mx + b, such that f(1) = -2 and f(3) =…

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Q: DO NOT include spaces in between characters. Determine the domain of y = sin (x – 1).

A: To find the domain of y=sin-1x-1

Q: B)Is w = Ze² analytical function or not?

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Q: 3. (b) Consider the function f(x, y) = a(x² + y²) + xy + 1 for some real number a. Find Vf. Find fxx…

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Q: 9. Determine an expression for the gradient of f =Y x+y

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Q: If y =f (x) is a function in x then prove that f(a + nh) ="C,f(a) +"C, Aƒ(a) +"C,ƒ(@) + +"C, A"…

A: Given: y=fx is a function in x Prove that: f(a+nh)=C0nfa+C1n∆fa+C2n∆2fa+…+Cnn∆nfa…

Q: Let Ax,y) = 5x + 5xy – 6y. Give the coordinates of a point on the graph of f at the point (3,6). O…

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Q: QUESTION 6 Consider the function f(r, y, z) = 6x² + 4xy+ e4yz af Then is equal to: ду O A. 4x +…

A: we find out partial derivative with respect to y.   see 2nd step.

Q: Verify by differentiation that

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Q: Let g(x, y) = 3.2³-6-2²-5.y2 +1. a. ag Show/hide

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Q: Let sin(3x4 + 6y5) if (x, y) # (0,0) f(x, y) x² + y4 if (x, y) = (0,0) Which of the following…

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Q: Which graph corresponds to the function given? h(x) = {x², x 1

A: Here we have to draw the graph of the function.

Q: Which of the following functions maps the red function (y=x)onto the image function? a) y = -x+2|…

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Q: Sketch the graphs of the function f(x) = sin x .

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Q: Zez analytical function or not?

A: We check whether w=zez is analytic function or not.

Q: 5. Assume that V × F = V × G. What is the most general relationship between F and G ?

A: ∇ x F = ∇x G => ∇ x (F - G) = 0

Q: Find all the values of r for the given function defined by y = r³ – 12x where the tangent line is…

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Q: Oz 2. Suppose z is a function of x and y and tan(√x+y) = e²². Determine and ду Әх

A: Partial derivatives

Q: дz дz Suppose z is a function of r and y and tan(√x + y) = e²². Determine and 3x ду

A: given function tanx+y=ez2

Q: 27. Calculate the area of the parallelogram whose adjacent sides are å = [−6,5,−4]& b = [−2,2,4].…

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Q: If the equations x = u? - v and y = 2uv define u and v as functions of x and y, find and %3D O A. du…

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Q: 2 f: TR² x R² → R f (x, y) = 1 (2ax₁ y₁ + bx₁ y₂ + bx₂y₁ +2Cx₂4₂) 2 Examine whether the function is…

A: Given :   fx , y =122ax1y1 + bx1y2 + bx2y1+2cx2y2 To check : whether  f(x ,y) is 2 - linear  and…

Q: 3. Suppose that z = f(x,y) is a function for which f(3,-1) = 16, А. 1,(3,-1) = 0, f ,(3,-1) = -7,…

A: Given that:                       z=f(x, y)f(3, -1)-16, fx(3, -1)=0, fy=(3, -1)=0, fxx(3,…