Q2:Write an Algorithm to evaluate the following equations: X4 + 2! x2 x6 X8 + 6! 1.Cos(X) = 1 – -- - - ...... .... .... .. 4! 8! n!

Q: Find the solution to this recursive relation an = an-1+3, a0=1

A: To Find the solution to this recursive relation an = an-1+3, a0=1

Q: Let A = {1,{2,3}}. Find P(A), n(A) and n (P(A)).

A: The power set of a set is the set of its subsets. The expression nA represents the number of…

Q: | 0 0 1 1 1 00011 0 0 0 0 1 5 (If the arithmetic for computing an entry involves huge powers, you…

A: As per bartleby guidelines we are allowed to do maximum of 3 subparts

Q: Let A = d ghi Assume that det(A)=-11, compute the following. NOTE: Enter all values exactly. (b) det…

A: Topic = Determinant As per guidelines , At a time only three sub-parts can be answered. please…

Q: Find the smallest integer x for which (x4 + 4x)/(x + 2) is O(xx). 01 02

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Q: 5) Evaluate the expressions below if K(s) = 3s² - s+6. a) K(s+2) b) K(s) +2

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Q: Find AB if A = [4 -3 3 -1 0 -2] and B = 4 Use the tools in the

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Q: he closed form for an+1 3an + n² with ao = 1. Verify your result.

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Q: Given f(x)= -x +2x* -3x + x? -4x + 5. Use Horner's algorithm to compute a. f(-2) b. f(x)/(x+2) C.…

A: (a) We have f(x) = -x6+2x5-3x3+x2-4x+5, and we can rearrange this as f(x) = 5-4x+x2-3x3+2x5-x6

Q: Let A = [-2  6]              [2   8] Find 3A.  3A =

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Q: Oa, 1+ 16a, 2+ 225n for n> 2 with initial conditions ag = -23, a1 -19.

A: Given recurrance relation is  an=16an-2+225n     , n≥2 and initial conditions are a0=-23, a1=-19

Q: Expand and simplify    (i) (2k − 3)(k − 2)

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Q: (b) Ax+By-12 0; x-intercept = -6; y-intercept = %3D %3D

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Q: Find the solution to this recursive relation  an=2nan-1, a0=3

A: Given that  an=2nan-1, a0=3 To find the solution of this recursive relation

Q: Show the function f1(x) is primitive recursive. f1(x) returns n if factorial(n) = x but returns 0 if…

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Q: Find the smallest positive integer in the given set. (a) {6u + 15v : u, v ∈Z}    (b) {12r + 17s : r,…

A: Given: (a) { 6u+15v:u,v∈Z }(b) { 12r+17s:r,s∈Z }

Q: (c) Find an element h of S10 such that hog (1 8 10 2 7 3 6 4), = and write it in two-line notation.…

A: (c) In one-line notation, g can be written as        g = (1  6  9  3  10  8  7)(4  5)    Then,…

Q: 8a, 2+ 225n for n> 2 with initial conditions ao 7, a1 83 %3D

A: Given: an=-6an-1-8an-2+225n for n≥2 with initial condition a0=7, a1=83. To find: The solution of the…

Q: (i) Deduce that the difference in the number of integers in the numerator and denominator of (* 2N N…

A: Properties of floor functions will be used.

Q: 2. Let {an} be a decreasing sequence of positive numbers with limit 0. I define a new sequence {xn}…

A: The sequence {xn} is defined as:                 x1=a1xn+1=xn+-1nan+1 for all n∈ℤ+, where {an} is a…

Q: Find the index of 5 relative to each of the primitive roots of 13 (a) 2 (b) 6 (c) 7 (d) 11

A: To find the index of 5 relative to each of the primitive roots of 13. We know that p be prime number…

Q: Consider the function f (same as in the previous problem) defined on the interval [0, 10] as…

A: Given Data: fx=35xx∈0,53x∈5, 10-y''=λy, y0=0, y'10=0To find: cn

Q: ndicate the least integer n for which (3x5 + x2)4 is O(xn).

A: Solved using the binomial theorem

Q: **2.) In the diagram below, ray NK bisects JNL MJNK-(22-2 and MELNK-(3x)". Determine the value of…

A: Given: In the diagram, the ray NK bisects ∠JNL. m∠JNK=2x2-2°. m∠LNK=3x°. Since the ∠JNL is…

Q: Use Euclidean algorithm to obtain x and y satisfying the equation of (5 036, 2 601) = 5 036x + 2…

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Q: For each of the following, perform the indicated computation. (a) (5 ỉ – 7j – 7k) – (-6ỉ – 83 + 7k)…

A: To simplify the vectors:

Q: ( 9x2 4 if a 2 Let p(x) = 4x + 8 if a < 2 Compute the following values. (a) p(1) = (b) p(2)

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Q: Suppose SCR is a set of numbers. (a) Define inf(S) and sup(S). (b) Show that inf(S) = - sup(-S). (c)…

A: Set: A well-defined collection of objects or numbers is called a set. We can write a set in two…

Q: 4-1) Compute the following arithmetic operations that are used in different stages of the previously…

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Q: Subtract (4q - 8) from the sum of (3q² – 7q – 4) and (6q² + 6q − 2).

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Q: Find the general solution of the recursive relation an = 2 an-1 - 6 an-2 for every integer n > 1. a,…

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Q: ange the functions √, 1000 log n, n log n, 2n!, 2",3", and 1,000,000 in a list so that each function…

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Q: b. Use the Second Derivative Test to find all local minima and local maxima for g(x).

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Q: Find the general solution of the recursive relation an = 2an-1-12an-2 for every integer n > 1. None…

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