Let Fn be the n-th Fibbonacci number. That is Show that F is given by 72 Fn = F₁ = 1, F₂ = 1, Fn = Fn-1 + Fn-2 - 1 √5 (a" - b") where a - 1+√5 2 and b - 1- √5 2

Q: Compute and completely simplify the difference quotient for  f(x) = √x+6   f(x + h) − f(x) h =

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Q: p(x) (x - 4 + Dx -4 - )(x - 4)

A: To find P(x)=x-4+ix-4-ix-4 We will use the concept of distributive law to find this.

Q: The functionf is one-to-one. Find its inverse. 5 18) f(x) - 4x +3 18) A) x) =5-3x B) flx) = 4x 3x -…

A: We have to find inverse

Q: Evaluate 16a + 2-0.5b when a == and b = 14 | %3D

A: Given f(a, b)=16a+2-0.5b

Q: 3) Find domain of the following functions x+4 a) f (x) = x²+2x-8

A: Given function is: fx=x+4x2+2x-8 We have to find the domain of f(x).

Q: For the line that has the equation X1 + 2X2 = 10, will pass through: %3D O (5,4) (10,1) O (2,4) O…

A: Given that  The equation of a line is x1+2x2=10 To find a point that will pass through the given…

Q: If 1(x) is a function that counts number of prime numbers, then find (38.4) A) 10 B) 11 C) 12 D) 14

A: In the given question we have to find the the value of π(38.4) but before the answer we know about…

Q: Use the functions given by f(x) = 53√x - 1 O 1253√x - 1 53√√x + 1 O 1253√√x + 1 05√√x + 1 ○ 1 125 x…

A: given  f(x)=1125x-1given  g(x)=x3

Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

Q: How accurately can we calculate √119 using interpolation over points x0 = 100, x2 = 121 and x3 =…

A: Estimate the value of 119 using interpolation. The given points are: x0=100, x1=121 and x2=144…

Q: Evaluate the function f(z) = 2z - 7 at the indicated values. a) Find f(z + 1) b) Find f(z + h)

A: The given function .We have to find the values of  and .

Q: What happens to this base function that went from  a(x)= x2 to  h(x) = -x2+ 4 and why it happened?

A: The objective of the question is to understand the transformation of the base function a(x) = x^2 to…

Q: Use the function f(x) = 5x – 6 to compute and expand and simplify the following. a. f(-) = b. f(-6a)…

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Q: Evaluate by Residue Theorem fºº dx 1+x3/2

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Q: Evaluate √12 to four decimal places by Newton-Raphson method

A: To use the Newton-Raphson method to evaluate 12, we start with an initial guess, say x = 3. Then we…

Q: show that, 8 = 1², when € IR³ we have x 1x)=870

A: Please five the answer in next step.

Q: Write the function ziv2 as a + ib (for a and b real-valued functions) and evaluate at z = (1 +…

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Q: Explain what happens to the base function, from #1 and #2 and why?  a(x) = x2 b(x)= -x^2

A: The objective of the question is to understand the transformation of the base function a(x) = x^2…

Q: brehecn a

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Q: 1 0 A= 0 0 0 -1 3 2 1 7 3 1 1 -1 0 -600 3OTSO 0 1 0 2 1 B= 3/2 6 1 -1/2 3 5 -2 2 1 -6 4 1 1 0 3/8 3…

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Q: -5 -4 -3 -2 -1 n y = دیار 2- 7 1 -2- -3- -4 2 3 4 10 5 Write an equation for the function graphed…

A: Given graph

Q: 1 Compute and simplify the difference quotient for f(x) = V1- x

A: The given function is fx=11-x. Replace x by x+h and obtain that, fx+h=11-x+h. Obtain the difference…

Q: Which of the following functions has an inverse? xlxl (a) x³ + x - 1, (b) x³ - x + 1, (C)- x+1 - (d)…

A: (a) fx=x3+x-1 If no horizontal line intersects the graph of f more than once, then f does have an…

Q: Let f(x) = 3 In ((0+1) 2x 2-25)-In(2(0+1) x-10): a. Simplify f(x) b. If f(x) = 4, find x.

A: Use the following properties of the logarithmic function to simplify this equation. ln a-ln b =…

Q: Expand and simplify, then verify your answers by evaluating the expressions before and after…

A: