Evaluate the expressions 15! a.) 6! x 5! b.) P(8,4) = %3D c.) C(12,7) = ||

Q: Which of the following is equivalent to (13a b)²a*? 3 A 1362 169a b2 13a b? 169a20b2 169a b

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Q: 4-(3n+2) = 4(- 3n+5) %3D

A: Given : 4 - 3n + 2 = 4-3n + 5

Q: 6. 3c2 - 5c for c = 3 76 8. 5a 3b + 5 for a = 4 andb 3 %3D

A: To find the values of the given expressions (6) 3c^2-5c at c=3 (8)5a-3b+5 at a=4 and b=3.

Q: Jo the following (no magic For A(3,4), B(6,100), C(2- ind values of a and b such

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Q: Fill in the missing element of B such that A = B. A = {7, 19, g, #, 2, 4, &, f, 17, 1, k} B = {#,…

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Q: Show that Z10 = ⟨3⟩ = ⟨7⟩ = ⟨9⟩a. Is Z10 = ⟨2⟩?

A: We have to find the condition according to the given condition

Q: snip

A: Given: A=2131-10 and B=102132   (a) To find: AB

Q: Given m = 6, n = 1, and v = (-4, 7), what is v(n-m)?

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Q: Example 1. Evaluate the following: b) A" + (4B)"; c) (A + 2B)" 0 3 4 [-3 2 4 A =-1 and B =-1 8. -5 a…

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Q: | If 4 1 Au 3 and Av = -3 -3 then A(2u + 30)

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Q: (7) Evaluate (" for n = 44 and r = 3.

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Q: Let a 51 – 2j and b- 21 +j- 7k then what is a. b =? O a. 1 O b. -12 Oc-8 O d. 12 O e. 8

A: a= 5i -2j  b = 2i + 1j -7k

Q: Given that 5w = = (-5, 20), what is w? Select the correct answer below: (-1,4) O (1, -20) O (-4,1) O…

A: given,  5w→=<-5,20>

Q: 5 25 1+2+20+20+ 4 16 64 an = ||

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: XA - ХА + yl th

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Q: Write out expressions for (i) (ii) "P. (iii) (iv) 20P,

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Q: Given that 5w= (-5, 20), what is w? Select the correct answer below: O (-1,4) O (1, -20) O (-4,1) O…

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Q: Evaluate f x+3 x3+27 dx.

A: Our Aim is to evaluate the integral given below:-∫x3+27x+3dx -(i)

Q: It is known to be Q-N. Accordingly, show that QxQ ~ N.

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Q: Which of the following is equivalent to 3 - V2 O A. V2 А. O B.-V2 3- V2 O C. 3+ v2 O D.

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Q: Let A = {1, {b}, {1, b}} a. Place an e or in the blank to make each of the following statements…

A: ● Let x be an element of a set A , then its denoted as x∈A .● If All elements of a set B is present…

Q: Consider o = (12)(45), then o =4. Select one: O True OFalse

A: The given cycle is: δ=1 24 5 The cycle δ is the product of two disjoint cycles.

Q: Show that the following identities hold.

A: The two given identities are…

Q: Simplify each expression

A: Simplify each expression

Q: Let B : and i Then (7)8

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Q: ind p hat if x is 7 and n is 10

A: The provided information are: Number of success (x) = 7 Number of trials (n) = 10

Q: Let A = {1, 2, 3, 4, 5, 6} and B = {a, b, c}. Find: a. Card(A x B) b. Card(A x A) c. Card(AB) d.…

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Q: i=n (5 + у;) (х; — 2) Зп + 2 i=1

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Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about…

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Q: Let A = and B = . Find the following. а. 2А+B b. || A|| с. А о В

A: Vectors

Q: Let â = (2,0, –3), %3D b = ( and -4, –7,1) c = (1,1,–1). Find

A: The given vectors are a⇀=2, 0, -3, b⇀=-4, -7, 1  and  c⇀=1, 1, -1.

Q: If a = (2, 4, – 1, 3) then ||-3a|l,= Select one: а. 30 b. -30 c. 27 d. -27

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Q: (1 — 2x)dx

A: Given,  ∫01(1-2x)dx

Q: Determine: 1 (1 -1 2] [2 3] +0 1

A: given  1-124-1023+1001-1-1 solution we will use property of matrix multiplication and addition to…

Q: Let A = {a, b, c, d}. Find the number of 3-combinations of A where repetition of symbols is allowed.

A: We have to count the number of 3-combinations with repetition allowed, we can use the concept of…

Q: Let A = {a, b, c, d}. Find the number of 3-combinations of A where no symbol is repeated.

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Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

Q: Evaluate |5(z – 4)Vz2 – 8z dz

A: Here I am attaching image so that you understand each and every step.