Determine the linear approximation of f(x) = x² at x = 1. a. y= 2x +1 O b. y = 2x - 1 O c. y=- 2 x-1 d. Not in the list

Q: 4. Let f(x)=1+x³-x. Find an x-value that makes f(x) 0.

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Q: The gradient of the function 2x1 + x2 - 3 evaluated in x = (0 0 0) is: OA. Vf=(1 2 3)T OB. Vf=(0 0…

A: Solution:

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

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Q: 17. Find the linear function f(x) that is parallel to 4x + 3y = 6, such that f(0) = 7.

A: Given function, 4x+3y=6, That is 3y=-4x+6 y=-43x+2 compare to y=mx+c Therefore m=-43

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

A: f(2)

Q: 1. (2 pts 1.3) Determine whether or not the equation x² - y² x. = 4 represents y as a function of

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Q: Find a linear approximation y = f(x) = x5 − 4x² + 4x³ − 12x² + 21x − 6 to the following function at…

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Q: 1. Differentiate the following. Simplify as far as possible. - 3.r)" + (1 – x)² – VF f(x) = V 2+

A: 1)

Q: Find one of the two residues of the function (2z + 3)/(2 - 2) on its poles. а. 0.25 b. 0.75 С. -7/4…

A: We say cauchy residue theorm 2πIota (sum of residues at singularities inside C)

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: e equation of

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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: Consider the function f(x)=1/x on the interval [1,11]. Find the average or mean slope of the…

A: The objective of this question is to find the average slope of the function f(x)=1/x on the interval…

Q: • Given the function z = f(x, y) = 1 - x - y, all of the following are true EXCEPT a. x is an…

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Q: Compare the values of Ay and dy if f(x) = x³ + x². 2x + 1 - æ is changes from 2 to 2.05.

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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: Q7. Check if the following functions are Orthogonal or not? fi(x) = x* , f2(x) = x² + 1 (-1, 1] %3D…

A: Two functions, f1 and f2 are said to be orthogonal if <f1,f2>=0 over the common domain of the…

Q: Find the linear approximations to the following functions about x = 0. Then, approximate the value…

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Q: 2. Let f(x) = 3x + 6 € Z7[x]. Find all associates of f(x).

A: The given function is fx=3x+6∈ℤ7x To find: the associates of f(x).

Q: Compute the following values for the given function. f(x, y) = 4x2 + 2xy – 7x + 4 f(1, 2) %3D f(2,…

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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: Determine the indicated values for the function f(x,y)=2x²y. O8y8 O2y1 O1y4 O 10 y 8 fx(2.1); f,…

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Q: 7. Determine each of the following for the function, f(x, y) = 7x³y² - 2x + 3y. Show all work toward…

A: Given,  f(x,y)=7x3y2-2x+3y