Define P(n) to be the assertion that: n(n + 1)(2n + 1) 6 j= (a) Verify that P(3) is true. (b) Express P(k). (c) Express P(k + 1).

Q: (1) F = B.C+A.C.D+A.C+E.B+E.(A+C).(A+D)

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Q: The real part of csch (2-j3) is O -0.5118 O none of the other choices O -3.5906 O 9.8844 O 1.0357 O…

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Q: Let n EU = Z and p(n): n² + n is an even integer. a. Write the following statement: (Vn) p(n). b. Is…

A: (a) Here, the given statement is: For ∀n∈U=ℤ, p(n):n2+n is an even integer.

Q: Let A = -7 -7 08 Find - 3A. -3A =

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Q: Simplify the expression completely: (z + 5) (x – 5) (x² – 25) – (z + 1) (z² – 8) = 5) (2- 25)- (+ 1)…

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Q: Suppose P(A) = 0.48 and P(B) = 0.62. Can A and B be mutually exclusive? Why or why not.

A: We know that, mutually exclusive events are  events which can not happen at the same time.

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: calculate 1+3+5+...+(2n-1) for n = 1,2...,6.

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Q: (b): Evaluate: (8t³ – 9t² + 10)dt

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

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Q: (c) Check whether or not: Q (2¹/³) = Q(4¹/3) Also obtain (Q (2¹/³): Q].

A: We first find [Q(2^(1/3)):Q]  Then using this prove that Q(2^(1/3))=Q(4^(1/3))

Q: fnd all xeR where -5x (x+) n=2 ナS is Convergent- +5

A: We have to find all x∈ℝ such that the series ∑n=2∞ -5xx+1nx+1n-1+5x+1n+5 is convergent. We know that…

Q: Which simplified choice will result in 200m20n15

A: Consider the following expression…

Q: 8. Find the domain of f(r):

A: Given fx=x+3x−1

Q: Choose the correctly simplified form of this expression: t²-2t-3 t²-16 t²+t-12 4t+4 (t-3) (t+1) t-4…

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Q: 3/2n 7. Find proj in terms of: (a) b)

A: Solution of the problem as follows

Q: (a)  Convert the following general expressions to standard SOP form:                           ABC…

A: given general expression is                                              ABC+(A+B)(B+C+AB)

Q: nere to search

A:

Q: hat p (A) =0.3 and P (B) = 0.2 find P (A or B) given that (a) A and B are mutually exclusive, (b) A…

A: p (A) =0.3 and P (B) = 0.2  (a) A and B are mutually exclusive P (A or B) = P(A) + P(B)…

Q: P(A)=0.6, P(B)=0.3, and P(A or B)=0.7 are A + B mutually exclusive?

A: Mutually exclusive events:Two events are said to be mutually exclusive events, when both cannot…

Q: C Compute the following expressions.

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Evaluate L-1{ S (s² + 169) (s - 2) 2

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Q: 12 + 4j express both (a) – and (b) z +- in the form x + yj. If z =- 9- 7j ... (Simplify your answer.…

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Q: O F = (W+Y+Z).(W+X+Z).(X+Y+Z).

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Q: can you please provide the answers for A(4)?

A: We need to find the area A(4)

Q: Suppose that Pr[A|B] = 4/5, Pr[B|A] = 8/21, and Pr[A Compliment] = 2/5. Find Pr[A ∩ B Compliment].

A: Given, PrA|B=45PrB|A=821PrA'=25

Q: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: Given w(x) 5a +6 and z(x) = 3x – 4, evaluate the following. %3D %3D (a) (w o z)( – 1) = %3D (b) (z o…

A: Consider the given information. wx=5x+6zx=3x2−4 Find the composition of the function as,…

Q: What is the real part of the result of the following: (5 - j5)4? 5 O 25 -50 O -2500 -25000 O 50 none…

A: Given complex number is (5 - j5)4

Q: 3x-11 mang má O a. Inkx+6Xx-17+c O b. In x-1)(x+67+c Ocinkx+1Xx-6+c Od. Inx-6)(x+1)+c

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Q: Evaluate L{- (s2+ 64) (s – 6) |

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Q: Find all integer x satisfying the condition x = gcd(4x + 3, 2x). Justify your answer.

A: To solve the given question we will use the following rules: 1. If a and b are two positive…

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.