|. consider the function f defined by f(x) x€ (-1,1). 3 Vin Cl+z)-Sec (x) a) Find linearteation of f centened at zero. the b) EStimate Value of ncl1) - Sec (1.1) using the the linearization in part ca). Express your approximation number Ceg.a fraction of integers). as a rational

Q: Determine the slope of the tangent to √1-x at the point (-8, 3).

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

A: The solution is given as

Q: Explain which the function are analytic or not: F(z) =2xy – i(x² –- y²) |

A: A function fz=fx,y=u+iv , where u and v are functions of x and y, is said to be analytic if it…

Q: Find all points on the graph of 3x2 + 6y² + 3xy = 64 where the tangent line is horizontal. y X.…

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A: Solution :-   Given fx = x3+21x2We have to find inflection point for this, we put f''x = 0

Q: find an explicit formula for f' and use it to graph f' f and the line y=x on the same Screen. To…

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Q: For a function f(x), f"(a) = 0 and f"(a) = 0. What could be true of the point (a, fla))? Explain.…

A: Given f'a=0and f''a=0

Q: For the function f(x.y.z)= 3+5xy"-2z*, find f,, f, and f. -口 fx = 5-口 fy=

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Q: If the function f: R\{2} → R\{2} defined by f (x) = 2х+3 then the composite function х-2 fof (x) =.…

A: Use the definition of composite function f∘gx=fgx, to obtain f∘fx. fx=2x+3x-2f∘fx=ffx=f2x+3x-2

Q: For function f(x)= 3x - 8sin(x/2) and interval [ -7, 4 ]. Find a)relative extrema. b)the intervals…

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Q: Through the bisection method, how would you clearly demonstrate that the function f(x) = x -2…

A: Solution

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Q: Use the secant method to estimate the root of the f(x) = 3x + sinx - ex llowing brahi function:

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Q: Is Z²-1 2-√√2²+4 analytic in 12/2

A: Given:We have to find the following function is analytic or not. =Ƶ2-1Ƶ-Ƶ2+4

Q: Find an analytic function (or functions) if 2 Ref(z) = x²= y² + 2x and fli) = 2i - 1

A: f(z)=z2+2zExplanation:Thank you?

Q: The number C of civil rights cases pending in the U.S. district courts from 2000 through 2005 can be…

A: Step:-1 Given that C=-166.472 t3+1013.92 t2 -1642.9 t +44316 and 0≤t≤5 Part (a):- Step:-2 Part…

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A: A function is said to be increasing if the output of the function increases with value increases…