Consider sequences On+(-1)". Which of the above sequences are monotonic: O A. (), ) and (). O B. ) only. OC.) and (). O D.O and ). O E. () only.

Q: Find an equation for the tangent line at the point P (1, ƒ(1)) on the graph of f(x) 2x² + 3x + 4. =

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Q: If p> 1, evaluate the following: 1 1 1+ +- 2P 1 1 + 3P 1 2P 3P 3⁰ + - 1 +.. ... 4P 1 +.. 4⁰

A: Answer

Q: . If n(A) = 15, n(B2)= 20, and n(A ∩ B) = 10,find n(A ∪ B)

A: Given: nA=15, nB=20, nA∩B=10

Q: 3. Let A = {1, 2, 3}. What is |A|?

A: If A = {x,y,z}  |A| = sqrt x^2 + y^2 + z^2

Q: 3. Let, a, = 3, a2 = 4 and for n2 3, a, = 2an-1+ an-2 + nº+ 1, express a, in terms of n.

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Q: For each pair of statements, choose the one that is true. O6 c {5, 6, 7} (a) O 6 {5, 7, 8} o {9, 11,…

A: Subset - comparison between two sets, belongs to - is a relation between an element and a set.

Q: Determine the present value P that must be invested to have the future value A at simple interest…

A: According to our guideline, we can only one question and rest can be reposted.

Q: 3) 6,18,54, 162.... y sequence. This sequence relates to a function. Three words that would describe…

A: Please see the answer below.

Q: . How many relations are there on the set S = {2, 4, 6}? 892 512 none of these 1024

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Q: Example 68: (R, +,.) and (Q.+,.) are fieleds. (H.W)

A: I have proved the definition of field

Q: A. Let A = {-2,-1,0, 1, 2}, B = {1, 2,5}, C = {n² ER:n € A}. For items (1)-(4), write TRUE if the…

A: A.  The set is A={-2,-1,0,1,2},B={1,2,5},C={n2∈ℝ:n∈A}.

Q: Let a = (5, – 3, 6) and b = (5, 3, 4). (a – 6) × (ã + 6) -| X (a +

A: Given: a→=5,-3,6and b→=5,3,4

Q: Let S = {1,4, {1,4}}.what is |S|? 04 2. 5.

A: The objective is to find the order of set S. Given: S={1, 4, {1, 4}}.

Q: . If n(A) = 30, n(B) = 40, and n(A ∪ B) = 45,find n(A ∩ B).

A:

Q: Proposition. For all a, ne Z with n> 2, if a =4n 3n, then a =, 0.

A: To prove - For all a, n ∈ ℤ with n ≥ 2, if a ≡4n 3n, then a ≡n 0

Q: Find n(A) for the set. A= {5, 5, 6, 6, 9, 9} O A. n(A) = 10 O B. n(A) = 3 O C. n(A)= 6 O D. n(A) = 5

A: We have to find nA for the set, A=5, 5, 6, 6,.....,9, 9 nA is the number of elements present in the…

Q: Let A=[-1,7[,8={-1,3.10,12} and C={7}. Then (A-B) UC=

A: Given that A={-1,7} B={3,7,10,13} C={7}

Q: 1. A random variable X has expectation E(X) = μ and variance o². Suppose that Z = a) Compute E(Z).…

A: Given that X is a random variable with expectation  and variance .Suppose that

Q: Let D (2,5,7}, E= (2,4,5,6) andF=(1,3,4,5,7). List the elements in the set (D UE)N F. (DUE)NF = }…

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Q: The sum of the terms 1 for k= 3, 4, ... 10. Provide your answer below: || ])

A: The series given is  3+4+5+6+7+8+9+10 Now asked to find summation notation of the given series…

Q: Let A=[-1,7[,8={-1,3,10,12} and C={}}. Then (A-B) UC= *

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Q: "x is in A"  and "x is in B"

A: " x is in A intersection B" is same as " x is in A" and " x is in B".  For "x is in A union B" is…

Q: Let a = (5,-2, 9). Find ||10||

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Q: Let R = {(a, b), (b, a), (a, c), (c, d), (d, a)} a. Is (a, c) E R³? b. Is (a, a) E R²? c. Is (c, c)…

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Q: 3 = 2/3

A: We have to simplify the given expression  (34-25)÷23