The cube of any integer may has the form: 9k + 6 O This option All of the choices O This option 9k +8 O This option 9k + 7

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A: Q15 asked and answered.

Q: ) Solve the following (1) [10–3x|13.

A: (i) Given 10 - 3x≤17⇒ -17≤(10 - 3x)≤17⇒ -7 ≤ -3x ≤ 27⇒ -27 ≤ 3x ≤ 7⇒ -9 ≤ x ≤ 73 Thus x ∈ [-9, 73]

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Q: urve de- ), y =

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Q: If 1 + 4 = 5 2 + 6 = 14 3 + 8 = 27 4 + 9 = 40 Then 5 + 10 = ? a. 89 b. 93 c. 15 d. 55

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Q: C. Complete or identify the trigonometric and hyperbolic functions = quịs e b. 2 C. 2. = eyuis p

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Q: tan"x jun's de - | tan"-x dx (n 1) n- 1 tan x sec" r sec x dx (n 1) n- 1

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Q: For |2| → o in a wedge {z E C: -a < Arg z < B}, with a, ß e [0, 7), show that: (a) O(f(2))+ o(f (2))...

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Q: If T: R³ → R³ is a linear transformation such that (E) (B) T T T (E) then T = 4

A: Given that T : ℝ3→ℝ3 is a linear transformation such that           T100=334, T010=-1-30, T001=-14-4

Q: What is the area of the shaded region? 97 mm 34 mm 87 mm 38 mm

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Q: Compute the LU factorization of the following matrix. No row interchanges will be necessary. You can...

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Q: 1. (a) Plot the first four terms of the sequence 3n? – 3n + 2 n=1 (b) (i) Write in bracket notation ...

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Q: x² + 10x + 10 2 on in the inter

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Q: 5. Convert the polar equation to a rectangular equation. r = -2 sin 0

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Q: = gradient at the poir

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Q: A full 3-ary tree with 9 leaves has____internal vertices. Answer:

A: We can use this formula to find the answer, i = (L-1)(m-1)

Q: 15. What is the solution of the recurrence relation an = -2an-1+ 3an-2 with ao = 12 and a1 = -8? ) :...

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Q: 60 8.

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Q: dx Solve the differential equation dt

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Q: Using modular arithmetic and Fermats Little Theorem, what is the remainder of (x-1)! when divided by...

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Q: Use fixed point iteration to find the root of f(x) = x² – x – 1 Perform six iterations. Assume xo=2 ...

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Q: t" + t"-2 + an–3t"-3+ ... + ait + ao. Let Mnxn be the set of all n-square symmetric matrices and the...

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Q: 13. What is the solution of the recurrence relation an = 3an-1+ 4an-2 with ao = 5 and a1 = 10? a) a,...

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Q: Consider a linear transformation T from R? to R? for which * () --) (H)-- and T Find the matrix A of...

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Q: a. Simplify the expression below, where u and v denote suitable positive numbers: logu" + logo - log...

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Q: 7. Suppose I've defined a function f : N → N and I want to show that f(n) < 10n for all n2 5. To do ...

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