1. Show how to explicitly solve the recurrence equation below (that is, do not simply quote the Master theorem). T(n)=7T(n/2)+n2,  T(1) =1 please show the steps clearly

Q: If [x² - 2x + a] = 0 has no solution, then find the values of a (where [] represents the greatest…

A: Sol

Q: The pri 4/3 a) - x b) 4/ --x <) x ²/3

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Q: 6. m(x) = 1 – (2)(x + 5)1/2 EVALUATE                                                  SOLVE m(11)…

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Q: рарer 2 4. -INDICES AND SURDS page 37 2017 J Q2 Do not use a calculator in this question. 9 V30 can…

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Q: Express the Boolean function F = xy + x'z as a product of maxterms. First, convert the function into…

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Q: Find [(5x + 4y)dA where D = {(x, y) | a² + y² ≤ 4, x ≥ 0}

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Q: 11) Solve & list all solutions for x. Show your work: 2x3 + 4x2 70x %3D

A: Given equation is 2x3+4x2=70x solve the equation

Q: Solve using Jacobi’s Iterative Method

A: Given system is 56-3-2952-7-3412-1-743 x1x2x3x4 = -109-28

Q: dy Calculate . You need not expand your answer. 3x -6 y = (x– 3 )(x – 1)(x – 3) О а. 3(х - 3)(х…

A: Given,

Q: Solve the equation 24x 25-x 8*-3 (ii) lg(2y+ 10) + lgy = 2. 4* (i) %3D

A: Properties of the indices and surds  (ax)y=axy axay=ax-y If ax=ay⇒x=y log a+log b=log (ab)

Q: 21 _) P') pludx= чи (и+1) сеn+ л 2 и+31 и+1

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Q: . k(x) = 3 – (8)(x – 6)-1/3 EVALUATE                                              SOLVE k(-2) =…

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Q: Question 47 dy Calculate dr . You need not expand your answer. 2x +2 4х — 5 0 2(4х — 5) — 4 (2х + 2)…

A: We have to find derivative

Q: Section 1 - Question 2 Alice is deriving the formula for the sum of a finite geometric series. Her…

A: The given expressions are:Sn=a1+a1r+a1r2+a1r3+...+a1rn-1                     ........…

Q: Find dx Nx+7+X

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Q: [Problem 1] Prove the following statements formally. a) Let f(n) b) Let f(n) = = log2 (n) and g(n) =…

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Q: List all the possible factors of: S(x) = 2x* - 3x' +2x -7x-8

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Q: 1. Expand (r+ 1)(x – 2)(x + 3)

A: We will explain this using commutative law and associative law of multiplication.

Q: A population grows according to the recursive rule PN = 4PN-1 , with initial population P0 = 5. (a)…

A: Given Information:  PN = 4PN-1 P0 = 5.

Q: 3 | æ(x – 2)ºdæ 10 2

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Q: Since r (y) denotes the mortgage rate for the year y. The mortgage rate for the year 2003 is not…

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Q: 2 and g(x) = x + 2x + 11 Let A = Find the sum of the entries of g(A).

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Q: Show that: n n > (xi – x)2 > x? – n(x)2 | i=1 i=1

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Q: 6 2²{ - 2s-8) 01 02 03 C 4+2 ett

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Q: show me the steps determine blue and all information is here

A: To prove the following 1) un-vn=-1nu0-v0Jn+1-u-1-v-1Jn+2+bu-2-v-2Jn----2.68 is a solution of the…

Q: (a) Show that for n> 1 we have F2 = FnFn+1 − FnFn-1. (b) Use part (a) to show that F² + F² + . + F²…

A: Fn denote the Fibonacci sequence, satisfies Fn+1=Fn+Fn-1.              n≥2 And         F1=0,…

Q: For the model (1-B)(1-0.2B)X(1-0.5B)a,, find forecasts for one and two steps ahead, nd show that a…

A: Given: Let Xt∧k=1.2 Xt∧k-1-0.2X∧tk-2 ---(1)

Q: 4sin(x)+2=0

A: Given : 4sin(x)+2=0 ---------------------------------------------------------------------------- To…

Q: Find the first 3 iterates using x² = x + y² y(o)= o` Successive Approximatio

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Q: Solve for J -3J+3)<-15

A: Please note that multiplying by a negative number changes the sign of the inequality. We will use…

Q: 2 Let s(x) = x ² − 8x + 4 and t(x) = - 2x - 4. Part A: Find s(x) + t(x). Part B: Find s(x) - t(x).

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Q: If f(x) = 3x-2 and g(x)=x+1, then (f(g))-¹(a) equals 01-2 O (3-1) O x-1

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Q: Q1/ Find -1 s² (s+1)(S-1)²

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Q: 2. What is the coefficient of x³y¹ in the expansion of (2x − y + 5)8?

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Q: Q2) n(x) = x-1 , k(x) = (x – 1)/2, mx) = (x + 8)¯1 (x + 8)-1 Find a formula for ( m onok).

A: See answer below.

Q: Perform Jacobi Method until 5th iteration. Use 4 decimal places for the entire computation. Given -w…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.