(a) 10" Σ V102n – 98 n=1 (b) Σ (-1)" -'(n+ 143) n=1

Q: 22. P = 0.75 (9) P(X72) 12 P ( X =0) = (1²) 6 X • P(x=1) = S - P(X=7,2) Aft $19 = 0.25 (as) That 1 X…

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Q: In sigma notation, what is L10 if f(x) = √4x² on [-2, 2]? 10 Α) Σ 1/4 - (-2 + 2)2 (2/5) Β) Στo V4 -…

A: To find L10 use sigma notation for the function  calculating the lower sum of a Riemann sum with 10…

Q: What is the value of Σ n=1 (A) 15 8 (B) O A B C D E (-3)^²+1 5" 9 8 - ? (C) colc (D) / (E) 15

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Q: 6 (iv) (v) (8) 5

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Q: y² + y²e6)° x' 2 + 2x²eG)* , 2xye 2xye 6)*

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Q: 1 (x² - y²)² x+y valuate: ²₁₁² dx dy

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Q: 3. Nadia's Fashions d ing a new sales pro (a) Find N'(4).

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Find the sum: 5. Check that ³0 (1) (3^4) = (?) 6. Check that Σ10 (1) (35;) = (¹4) -0 ANSWER ONLY 7.…

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Q: 00 Σ (n + 1)²n (1 – n + 2n²)" n=1

A: We have to check whether given series is convergent or divergent.

Q: 26 E(- 1)"2n - %3D n=0

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Q: 2 Which is equivalent to 4my? (A) (Hmyl3 (B) 4mäys (c) 43lmy) } (D) (4m) 3 Y

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Q: SG3" + y2n + y")(2y2" + 3 y" + 6) dy. ,311

A: Explained below

Q: 21 _) P') pludx= чи (и+1) сеn+ л 2 и+31 и+1

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Q: 4" (x-3)" /n (b) (-1)" n=1

A: INTRODUCTION: The radius of convergence is half the length of the convergence interval. If the…

Q: 2. (a) If z = 1+ 3i and v = −2 − i then 1 A. + 2 B. Tin Tin + C. A. 2√6 e-in/6 B. 2√3 e-in/3 D. 2 10…

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Q: The DNA molecule comes in the form of a double helix, meaning two helices that wrap around one…

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Q: 2) Perform the following index shifts: i. Write y = no anx" as a series that starts at n = 2 ii.…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: (B) (AB) (BC) (CA) NY, 22.13. Show that if (A) (B) (C) = 3x and = x, 2x, %3D N N then the value of…

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Q: e*dx cln 1 Calculate Jin 0.5 V1-ezx" (b)

A: We will solve this integral via substitution:

Q: sinh(2 In(8)) = (A) 0 1 (B) 64 – 1. (C) 32 + 128 (D) 8 - (E) 32 128

A: answer is given in next step.

Q: List all the possible factors of: S(x) = 2x* - 3x' +2x -7x-8

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Q: Find the coefficients of complex exponential Fourier series for the function: 0 if x = [-pi, 0] sin…

A: As per the question we are given a piece-wise defined function f(x) and we have to find its…

Q: how to show the following coefficient is less than 1

A: Given information: An expression involving gamma function is given.

Q: k-1 k-1 C1(k) = A + 1/½ 2* + 3½i²(/½)* i=0 i=0 A – 1/½(1 – 2*) – 6[(1/½k² + k + 3/½)(/2)* – 3/2] =…

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Q: Given the formula P(X = r) = (,) p"qn=r where r=0,1,2,3,...,n and q = 1- p. %3D (a) If n=7 and…

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Q: Show that: n n > (xi – x)2 > x? – n(x)2 | i=1 i=1

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Q: - Evaluate the followings: (i)-r' (4) (ii)-(2) (ii) (-3) Г (iv) Γ(0.5)

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Q: x2/3 If y = ¤l/3 + 2 dy then le=-8 %3D da

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Q: a(1 – rª ) n³(1-0.5'g(n) ; (1 – r) (1-0.5) (n³ – n³+0.5!g(n)) 0.5 =(2n3 – – 2n² ) 2 * n³ * 0.5'g(n))…

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Q: 00 У п(х — 2)"

A: We have to find the sum of the given expression according to the given information

Q: N1/2 (x) = -J_1/2(x) الخيار 4 J1/2(x) الخيار 3 J-1/2(x)

A: The equation that describes the relation between the Bessel's function: Jvx and the Neumann's…

Q: Iron Sports have been tracking the sales of boxing bags for a number of weeks. Due to problems with…

A: Given information: Amount of money earn by company in first week = $1500.

Q: 2(-1)n-1_6" n=1 5n+1

A: To find: ∑n=1∞-1n-16n5n+1