(c) Let a and b be positive integers, suppose Q is defined recursively as follows: if a < b Q(a, b) = }o(a - b, b) +1 if a 2 b (i) Find Q(2,5) and Q(12,5). (ii) What does this function do? Find Q(5861,7).

Q: Find a closed form representation for the function defined recursively by ƒ(1)=4 and f(n)=3f(x)+n.

A: This is a question of recurrence relation and time of complexity.

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Q: 3. Which represents is a recursion function? O zn = f(2,) O *n = f(x, 1) O n = f(a1) æn = f(xn)

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A:

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Q: Suppose X - X(3). Find k such that P(X > k) = 0.01. Round your answer to 3 decimals. k :

A: It is needed to find the value of k, such that, P(X &gt; k) = 0.01.

Q: Find a closed form representation for the function defined recursively by f(1) = 10 f(n)=2ƒ(%)+n².

A:

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A: Statement is true.

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A: In the question we are given a complex function f(z) in terms of infinite series, and we have to…

Q: For non-negative integer n, let the function fn be given by (picture) (where n! = 1 · 2 ··· n,…

A:

Q: 2 4 3 21 12 3 -1- -2- -3 4- MathBits.com Find f(-3) - f(1) - f(2) -

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A: f(x) = ln(ex-3)The function "ln" is defined for positive numbers only.Hence, x should be such that…

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Q: Use Algorithm 3.2 to construct the interpolating polynomial of degree three for the unequally spaced…

A: In the question it is asked to construct interpolating polynomial using the table given in question.

Q: 1 Expand f(2) = -in the domain 4 < |2 < 12 (z-4)(z–12)

A:

Q: Compute f. F · dr, where F(x, y) = (8 + 21x², 4xy) and C is a line segment from (0,0) to (1,2). (Use…

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A: We find a and b from the given interval such that f(a).f(b) &lt;0.

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A: solution

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A: Given: Only one of the character is a numeric digit from the set(1,2,3,a,b,c).

Q: (b) Expand and simplify in ascending powers of x as far as the term in x" 1+3x

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Q: 1. prove that if x is real number then ,[2x] =[x] +[x +1/2] when [x] denote the greatest integer…

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Q: 1. What is the recursive function that will represent this situation? a. m (t) = m (t- 1) +0. 03, m…

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Q: 3. Which represents is a recursion function? En = f(a1) O *n = f(x,) O an = f(x-1) O In = f(xn) %3D

A: To choose: The correct option that represents a recursive function.

Q: Suppose that f is defined recursively by: f(0) = 5 and f(n+1) = 2 fn + 5. Find (1), f (2), f(3) and…

A: Suppose that f is defined recursively by: f(0) = 5 and f(n+1) = 2 fn + 5. To Find (1), f (2), f(3)…

Q: HW4| Prove How 4 Prove if x;→ × then 6x.→6x Xj ->

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Q: I have to identify the recursive and explicit rule. I need to select two

A: Answer: Option F f(n)=f(n-1) . r Option A f(n)=3. 4n-1

Q: Find the function f if it is known that f prime of x= 3x^2 +6x-7 and f(-1)=10.

A: Given: f'x = 3x2 + 6x - 7 and f-1 = 10 To find: fx

Q: Compute f.F. dr, where F(x, y) = (2+ 12x²,9xy² ) and C is a line segment from (0, 0) to (1,2). (Use…

A: To Determine: Compute ∫cF.dr,where Fx,y=&lt;2+12x2,9xy2&gt; and C is a line segment from 0,0 to 1,2.…

Q: Suppose that f(2) = 16 and that f (x) 2 - 3 for allx in the interval [2,7]. Determine the smallest…

A: Follow the procedure given below.

Q: Suppose X - x²(16). Find k such that P(X < k) = 0.01. Round your answer to 3 decimals.

A: consider, (1-0.01)=0.99  to obtain thecritical value to the left side

Q: 5.5 (a) Determine the roots of f(x) = -12 – 21x + 18x2 – 2.75x3 graphically. In addition, determine…

A: Given: f(x)=-12-21x+18x2-2.75x3 To determine: Root of given function by a) graphing method. b)…

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Q: Find the recursion for a population that doubles in size every unit of time and that has 14…

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Q: 6. Prove from first principles (with ac- 6 argument ) that लेग ½ lim 7--1

A: 1x2+1-12=2-x2+12x2+1                               =2-x2+12x2+12+x2+1…

Q: Prove that the function f : R → R is not continuous at xo = f(x) = { 2 +1 r40 if x E Q if x 4 Q…

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Q: 5.5 (a) Determine the roots of f(x)=-12 – 21x + 18x2 – 2.75x³ graphically. In addition, determine…

A: The root of a function is the point on the graph which touches the x-axis. To find the root using…

Q: What is the run-time complexity of the of the recursively defined Closed form function T(n)=3T(n-1)…

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Q: 4. Which of the following describes the end behavior of the polynomial y = -x+ x? A as x -oo, y 00…

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Q: Let fn be the number of strings of length n using the letters A, B, C, D, such that there are an…

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Q: 92 (a) Determine the roots of fix) -13-20x+ 19 -3x graphically. In addition. determine the first…

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A: Given that: y=-2(x+3)2+8

Q: 8. Find a closed form representation for the function defined recursively by f(1) = 10 and…

A: Definition: Here is the master's theorem for recurrence relation is follows, Tn=aTnb+cnk, T1=c1…

Q: Suppose that f(2) = 16 and that f'(x) 2 - 3 for all x in the interval [2,7]. Determine the smallest…

A: This question is based on Mean value theorem.

Q: If f is defined recursively by f(0)=0, f(1)= -2, Find f(3) where f(n+1) =f(n) - 5 x f(n-1)

A: