Q1: Choose the correct answer Let X haveN (u, o²), then 3. The value of E(x-μ|²) is O A B A. 0² B. C. 20² 20² TT

Q: The distribution of Master's degrees conferred by a university is listed in the table. Frequency 216…

A: Answer Major                         FrequencyMathematics                   216English…

Q: Let | a b. 2. =5, then 2a 26 2c 4g 4h 4i -e

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Q: 1 Evaluate dx. - 9x In(7e® + 1) 9x 1 -dx = In(|7+ e– 9æ|) + C 7+e-9x 7. 9

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Q: 33x хе x³e³x dx S

A: This question is based on integral by parts.

Q: Find f"-1) if f3) = (3x + 1)° . %3D O a) 9 O b) -27 c) 36 O d) -9

A: Given function is f(x)=y = (3x+1)3  We have to find f'(-1)

Q: Date: Ofind all for whech mot hane the given de leition a ER lequalion dees a a-5 7+39 OC-2 Zax-5 1D

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Q: In AABC, DE || BC, find x. x+2 D. 6, E x+1 C 2.

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Q: b) Evaluate:- 2 6² 44x² In(x) dx

A: Topic = Integration

Q: Evaluate: s x 5 √ x² + 4 dx =

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Q: Q2: Evaluate the following b) fe-x³ dx

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Q: find x, y € Z such that 2261x + 1275y = gcd(2261,1275).

A: we want to find the greatest common factor  we will use Euclid's algorithm 2261=1275×1+986 -----1)…

Q: 6e2x 1-etx Select one: -dx = O a. 6sin ¹e²x + C O b. In√√1-e4x + C 3sin-¹e2x + C O c. O d. 3√1-e+x+C

A: We need to find out the integration."Note that as per the rules, when the multiple questions are…

Q: In the diagram below, ST is a midsegment of △WXY. Find the values of a and b

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Q: Evaluate z dr 2(/z+1) + C o b. 2 - 1) C. + C - Vz+I Vz -1

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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: Evaluate. 1 6 x dx V16 +3x2 0. V19 A) B) 2/19 -8 C) V19 -4 - 2 D) -219 +8

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Q: Σ 9n n = 1 Identify an-

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Q: Evaluate f Vr+ V?dx Oa. 3 am +2) +C (V2) +C can) Ob. 2 am +2) +C 30 om +C (25) Oc 2 an +m) +C O d. 5

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Q: In the figure below, YA || OE || BR. Find the values of x and y if YO = 4, ER = 16, and AR = 24

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Q: dy Find for ax xtR ב3 ay

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Q: The value of fe-3dz is

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Q: 4 Vn = V2

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Q: -dx. (3x² + 1)ª Evaluate -1 +C OA. 18(3x² + 1)³ O B, In(3x2 + 1)ª) +C 1 OC. + C 18(3x² + 1)³ x2 +C…

A: Given- ∫x3x2+14 To find- The value of the integral

Q: 18. Evaluate using u-substitution: S dx 1+x10 2x9

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Q: 0 b and B: b Let A = Show AB = - BA.

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Q: (z-1)²sin (dz (2-1) C:\z + 11 = 1

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Q: please answer this with the correct answer. Thanks,  If a = [–1, 0, –3] and b = [3,0,1], find…

A: Given: a = [–1, 0, –3] b = [3,0,1] find |proj.(a on b)|= ??

Q: Find the quotient (1+i) 10 1+/3i )A. 10(1+/3i)- O B.6(V5+21). OCs(V3+i): OD. 16+ Si OE -s(V3-i). D.…

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Q: -5y + 8 = -7 -3 -1/5 C. 1/5 O e Answer not given O O O O O

A: Given: -5y+8=-7 For finding solution of given equation, we do transportation then simplify it