Evaluate the following expressions. Your answers must be exact and in simplest form. (a) In e 1 (b) en 7 (c) eln v3 (d) In e5

Q: Evaluate the following. (a) II (1+ Π n=1 2)) (b) ÏÏ (D) (¹-¹) © II (2-1) n=2 n=3 n(n + 2)

A: The given expressions are ∏n=1∞1+1nn+2, ∏n=2∞1-1n2 and ∏n=3∞n2-1n2-4.

Q: Please do the following questions with full handwritten working out. The answer is in the image

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Q: What is the value of 1/6 ÷ 5 and 1/5 ÷ 6? How do you know?

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Q: ØC (0} (0) c Ø (0) € (0) Ø C(0) 10 C (야)

A: Which of the following statements is true?

Q: (1) Evaluate r (2.3)

A: Gamma function is defined by: (1) Γ(a)=∫0∞ta−1e−tdt,Re(a)>0(2) Γ(a)=Γ(a+1)a,…

Q: 1. Expand the following expressions: TC(q)-2TR(q) - FC(q) b. 5q-(3-2q)³ 1-In ()² C.

A: a. The expression TC(q) - 2TR(q) - FC(q) can be expanded as follows:   TC(q) - 2TR(q) - FC(q) =…

Q: 1+ 8(t-2) = Select one: O uz(t) o 5(t - 2) O 1 2u2(t) none

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Q: 3. (а) Simplify: (b) Evaluate part (a) above when a = 1, b=6 and c= 1 4

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Q: Fix a € (0, 1). Determine inf(B) for B = {an: ne N}. You can just give your answer for this part…

A: We have to find the  for

Q: What is the exact value of csc > O 2√5 3 IN O-2 14 (¹4) ²

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Q: Show that 1/2 1+ 72 2 1. i%3D1 Xi n-1

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Q: Which expression below is equivalent to x4 − 4x³y + 6x²y² − 4xy³ + y4 O (x + y)4 (x - y)4 (x-2y)4

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Q: What is the first answer cant read it quite well

A: Let's find 1st answers.

Q: 4 i 12 – 9 i 19 (a) 4 + 9 i O (d) - 4 - 9i O (c) 4 -9 i (b) -4 + 9 i O O O

A: Topic = Complex number

Q: Find E, 28 + 12(k – 2). uk%3D1 7,392 2,800 2,342 3,696 1,848 а. b. C. d. е.

A: Consider ∑k=12428+12(k-2) = ∑k=12428+∑k=12412(k-2)= 28∑k=1241+12∑k=124(k-2)=…

Q: 1. Simplify the following: (a) (EUF)n (FUG) (b) (EUF)n (ECUF)n (EU F°)

A: We know, Law of set theory as, i) Commutative: A ∪ B = B ∪ A, A ∩ B = B ∩ A. ii)Associative: A ∪ (B…

Q: (4e-2)-3 -3 2. e2

A: 2 Given expression is 4e−2−3e2. We have to solve the the given expression.…

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

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Q: Find an integer n that would guarantee Simpron's Rule S, to be within 10-8 of ³/2dx. You do not need…

A: Given Information:To find:The integer  for Simpsons' Rule.Concept used:Accracy on Simpson's rule…

Q: Assume we write 50 to the base 4, such that 50 (x)4, then x = Answer:

A: Assume that if we convert 50 to base 4 such that 50=(x)4. We need to find x.

Q: Evaluate each expression based on the following table. x −3 −2 −1 0 1 2 3 f(x) 2 3 5 2 −2 −1.5 1.25…

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Q: The simplification of (1+4/10) (2 – V10) is 38+ 7/10 True False

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Q: Which of the following words represents X2+1 in GF(2) O 00010 O 01010 O 1001 O 101 O 10001

A: A Galois field, GF(pn), is a finite field with pnelements.  GF(2n) is a Galois field,in GF(2n) a set…

Q: Show that the following identities hold.

A: The two given identities are…

Q: (5) If A = ; 1. then (A²)" = (a) id 16 7 151 (b) L10 221

A: Matrix multiplication of 2x2 matrix is given by  abcdabcd=axa+bxcaxb+bxdcxa+dxccxb+dxd   The…

Q: Simplify the expression x(t – 1)8(t+ 1). (a) (0) (b) x(-2) (c) x(-2)8(t+1) (d) x(0)8(t+1) (a) (b)…

A: The given expression is                                               x(t-1)δ(t+1). To simplify the…

Q: Find the value of 2028. (а) 1 (b) -1 (c) i (d) -i Select one: O (d) O (b) O (a) O C) Windows bui

A: As we know i = √-1 Thus i2 = -1 i3 = - I i4 = 1

Q: hat is the value of c if (1 + c) = 4 and c> 0? n=1 nswer: c =

A: Given query is to find the value of c.

Q: (a) 2" =- (b) 4" 16 (c) 3" - 81 (d) 7" = 1 2" = 2 2" = 2 n =-3 (e) 5" - 25 1 (f) 10" = (h) 2" = -…

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Q: Simplify the following expression. 9(7i) - 4 (7i) O 353 0 3(7:) O 3 O 211

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Q: Hi there! I am the MATH WIZARD, I came here to challenge you. Simplify the following expressions. If…

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Q: For the next three questions, consider what integer values of a, b and c would satisfy the following…

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Q: #1) Evaluate the expression below for the indicated values: 2 x² + 3x - 7 a) x = b) x = -3 = 5

A: (a) for x = 5,                 x2 + 3x - 7 = 52 + 3×5 - 7                             = 25 + 15 - 7…

Q: Sarah thinks that the following expressions are equivalent: 2x + 3 = x/2+ ¾ Is she right? If so,…

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Q: what expression do you get in the following scenario 4.5 + x * 3 and then subtract 417

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