Determine the linear approximation of f(x) = at z = 1. O a. y= 9x +8 O b. y=- 9 x-8 O c.y = 9x - 8 O d. Not in the list

Q: В. B. Show that the function f (z) = -i z2 is analytic.

A: The solution is given as

Q: 8. Find f-1 (x) for f (x) = 2-4

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Q: he absolute extrema of J(*) = ,2+2x +9 n(-1,5]. %3D

A: The given function is  f(x)=xx2+2x+9 on [-1,5]

Q: Which value of c satisfies the conclusion of the MVT for the function f(x) = 3x² – 3x + 7 on the…

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Q: Approximate V(2.03)² + (0.8)² + (2.1)² using a linear approximation.

A: To approximate: 2.032+0.82+2.12 Consider a function, fx,y,z=x2+y2+z2 The linear approximation of a…

Q: 1. Find the following for the function f(x, y) = 3x³y² - 5x + 26y - 9.

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Q: 1.8 If f(x) = -7x – 6 and g(x) = -8x² – 4x + 3, find g(f(3)). a. 393 b. -177 С. -1857 d. -279

A: Here I am attaching image so that you understand each and every step. Given answer option "C" match…

Q: For each of the functions y = f (x) described below,find f (2).

A: f(2)

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

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Q: Find a point c satisfying the conclusion of the MVT for the given function and interval. У(х) %3D…

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Q: Which of the followings are the inflection points of f(r) = Inz I. x=0 II. x=e III. x=1 IV. ¤ = e 2…

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Q: If f is the linear function f = 3x - 1, what is the value of ? dx

A: Given: f(x)=3x-1 To find out: df/dx

Q: 3. Find the value of x to three decimal places when: a. 2x = 7 b. 2x+3 = 6x-1 c. 22w + 2(2)w - 15 =…

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Q: 11b. Consider the function f(x)=5x* – 4x³ +4. Isƒconcave up or down at the point x = -0.2? A.

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Q: Find fay (1.2) for f (x, y) = x²In(7 + y) +. 35 19 36 36 19 35 36 36

A:

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: Differentiate the following function. 6x2 +5 y= x2 +1

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Q: 5. How many zeros does this function has f(x)= 2x? - 5x - 7? с. 1 d. 3 a. None b. 2

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Q: Evaluate the function. 2. Find h(3,6) when h(x,y) = 3x +y J3x+y O A. 9 O B. 10 O C. 3/5 O D. 5/3

A: We have given function  hx,y = 3x+y2 Put x = 3 , y = 6 h3,6 = 3×3+62 h3,6 = 9+36 h3,6 = 45 h3,6 = 35

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: Find real numbers a,b,c,d such that And then find f'(z) =? f(x) = x² + axy + by² +1(cz² + day + y²).

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Q: Sketch the level curve of the function V(x, y) x² + y? for c 64. %3D

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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,…