Write a proof for: "If a = b and c = a -c = b - d" d, then

Q: Q4. Use Pascal's triangle to expand (3 + x)°.

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Q: In general, b O True O False m n = m n b

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Q: 2 -2 -- 0 6 0-6 3 0 - [³ 31. 4 -1 A = B =

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Q: (x – 2)²(x+3) (x - 1) (x +2) 5) Let R(x):

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Q: Find Aes, Aso, c, 25 for the matriX

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Q: Evaluate: S"xvx – 1dx Oa 을53-11- 5-1 - 1) – 15 – 1] а. Ob. O b. 2[5 - 1] + [5 – 1] 200 3 272 d. 15 O…

A: The integration of the integral x√(x-1) limit from 1 to 5.

Q: If | B| = m then n

A: We know that, If there are n elements in a set A, then there exists 2n subsets of A. The power set…

Q: Notice that two intersecting lines determine 4 pairs of supplementary angles and 3 concurrent lines…

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Q: A. Wnite in words: =) y< -3 or フメフ s 6 4) - 3 Sx

A: (A) Our Aim is to write in words:-(1) X≥12Answer⇒X is greater than or equal to 12.(b)…

Q: Stafe endwer, your or The exply sef is th comneded.

A: The empty set is path-connected. The above statement is  TRUE.

Q: For what value of X will X x 6 2]| 6= 44 2

A: To find :               The value of x

Q: D Express the following 3 complex form; e u! wof Jejod u! !h + e b.) -3+4:

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Q: Prove that the Ving of ComPelX numbers C¢,+.)is fielol

A: Solution is given as below:

Q: L e - cos 4tdt

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Q: 12. a. If n(AUB) n(A). = 23, n(ANB) 23, n(ANB) = 9, and n (B) = 12, find

A: Some results and theory- For any two sets A,B we have the desired result- n(A∪B)=n(A)+ n(B)-n(A∩B)…

Q: for AUB unih AG B inderser for is not unusual.) Then, A+B= B+ A A B= B A A (B+ C) = A B+ A C A+Ø= A…

A: In this question we need to explain about the underlined symbols ∪ ,   ∩  ,   ϕ  .

Q: 4. For P -1, (4 + i) ? 15 + 8i 15 + 4i 16 + 4i 16 + 8i CLEAR ALL

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Q: %3D If X-N(50,10), P(X < 60) = ? O 1) 0.841 O 2) 0.159 3) 0.341 O 4) 0.659

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Q: If X-N(50,10), P(X > 65) = ? O 1) 0.067 O 2) 0.033 3) 0.168 O 4) 0.832

A: The z-score can be calculated by subtracting the population mean from the raw score, or data point…

Q: Use Pinear oppebre to proce Het Q,+Qz+ 2 ... for ell , in R

A: We know , the set of all n-tuples with entries from a field F is denoted by Fn. This set , forms a…

Q: X. a. y> ]x + 4|- 4 b. y> ]x - 4| + 4 c. y< |x + 4|-4 d. y< |x- 4| + 4

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Q: This is for parts A,B & C in the quesI wasn't implying just C

A: Mean(µ) = 500Standard deviations (σ) = 10.6X ~ N (µ, σ )= N(500, 10.6)

Q: .) Perform the following  A. (3+4 i  ) + ( 7+5i) B.) (9+17i ) -(13-i)

A: Given: A.   (3+4 i  ) + ( 7+5i)  B.   (9+17i ) -(13-i)

Q: Complete the proof by using the figure.

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Q: find x

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Q: 2) 13 m 5 m

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Q: Is {3, 3, 5, 6} E P({1,2,3, 4, 5, 6})? Answer YES or NO.

A: Is { 3,3,5,6} belongs to the power set of {1,2,3,4,5,6}

Q: The symbol U represents which of the following A union, "and" B) union, "or" c) intersection, "and"…

A: The union of a two sets A and B denoted by A U B, is the set of all elements that are in the set A…

Q: Determine whether or not the following is true: for all sets A, B and C, (AUB) (C\A) = AU (B\C); If…

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Q: Find the values of a, b, ce R such that n k=1 ak² + bk+c= n³ \ne N

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Q: 37. How many sets of five marbles include at least two red ones? ANSWER I 100

A: We have to find nom of combinations.

Q: d. -11 – 4i has argument: 0

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Q: IF m*n DENOTES 2m – n², FIND THE VALUE OF: ii. -3 * V 5

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Q: q? then 5 • b? 6(а +b)2 — 12ab > 22 Prove if a,b > 0 b? 2 a' ab

A: Solution is given below:

Q: Vz=y° ? 2z*y Which of the following is equivalent to O ( +yi - z- y O (23yi - ² - y) O {(," i + y" –…

A: let the Given expression be E=xmyn2x3y Recall: (ab)n=anbn axay=ax-y a=a12