[All] The Maclaurin series of xe" is x² +2x³ +2x4 + x +r° +... O1+ 2x2 + 2x“ +a° +x® +... )22 + z° + 끓24 + 긍교5 + 226 + Oz+ z? + 글x* + 24 + a + ...

Q: B. Write the following expressions in sigma notation 1. (2x1-3) + (2x2- 3) + (2x3 – 3) + ... + (2x11…

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Q: What is the formula of z?    a. (x-μ)/σ   b. (μ-σ)/x   c. xμ-σ

A: Given that.  Z-score is raw score minus mean and whole divided by standard deviation

Q: Let A = [3 – 2i 4i 1+ 6i], and B = [5+i 2 – 3i 5]. Find (1 - 2i) A + (3 + i) B. %3D

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: 43x2-2x dx . | Evaluate x + 2

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Q: Q4) Answer two only 5-3i, a) Evaluate i 2+4i b) solve the following to find c and d (3-2 i)(c+id) =…

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Q: NCx) = x² - 2x - 5 MQx) = 2x+3 N of M

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Q: 27 | 25n+1 + 5n+2, (d))43|6"+2 + 72n+1.

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Q: Z2 in H = {0,4,8} find all left cosettes

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Q: "Co 34 "C, "C, "C; (-1)" "C, ,ne Nis equal to 10 14 (4n + 2) 2" n! 2"-n! () 3.5-7...(2n - 1)(2n +1)…

A: We have use binomial theorem  1-xn=nC0 - nC1 x + nC2 x2  + .........+(-1)n   nCn

Q: 4. Knowing that 1 + 3 + 5 + …+ (2n – 1) = n², find 1++3 +5 + .…+ 135 =

A: Solution :   Given that  1 + 3 + 5 + ... + (2n - 1) = n2    -----(1)

Q: The modulus of 5 + 4i is * -41 -√41 √41 41 The conjugate of (i-i² )³ is -2-2i O 2+2i -2+2i Oi-1

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Q: State the period P and write and equation in the from y=cot(k(x-b), using an appropriate sign and…

A: Given: The graph of a function is To determine: The period P and equation in the from y=cotkx-b,…

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

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Q: Which of the following is equivalent to 5a + 4xª + 3² + 2 dæ ? Select one: | (5æ² + 4x + 3æ1+ 2x¯³)…

A: We want to select the correct answer from the given options

Q: What is the scale factor

A: Here we have to find the Scale factor,

Q: * :The nth term formula for { 1,0,1,0,... } is 1-(-1)" 2. an = A₂ = An خيار 2 1 + (−1)" 2.

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Q: Najabhai

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Q: 7. I) Find, if possible, AB ond BA A= 3212/ 2.

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Q: Choose the right answer Given A =2x i- 42 j- 3xy k B = 2x i- 2zj (find A.B, AxB, div (A), div (B

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Q: 1 4 8 1 la – 56 a -b' b- a a a+b b2 - a? 6a 62 - a? | 2(8a + 56) (a - b)(a+b)

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Q: 13) Modal class: LB mo = 15.5 D₁ = 4 Mode: 14-15. = LBmo + UUR D₂ = 3 i= D₁ D₁ + D₂ i=5

A: Given LBmo=15.5 D1=4 D2=3 i=5

Q: How make that? k = (5²+1) JK ds = (5+1-15+0·1) ·10 (115²-185-11) (105²+115+1)²

A: Step 1: Given K=−(s2+1.1s+0.1)(s2+1)​. To Find: dsdK​ Step 2: We know that if f(x)=v(x)u(x)​, then…

Q: (2) Find all the numbers z such that elz = 10i.

A: Consider the given. eiz=10i

Q: 8√Z S sec³(s) ds 3/7/2

A: let  A=782∫sec3(s)dswe know  1+tan2s=sec2sA=782∫sec(s)sec2(s)

Q: Let H = {(1), (12)(34), (13)(24), (14)(23)}. Find the left cosets of H in A4 (see Table 5.1 on page…

A: Given H = (1), (12)(34), (13)(24), (14)(23) in A4 H =4and A4 =4!2 =12 So , Number of distinct left…

Q: 5. a. b. C. [1 2 ^= -√²-14 31²-432 B = = L2 0 Given A = 0 Find AB + (C-2A¹) T. Find the values of x,…

A: To solve the matrix. As per our guidelines we are supposed to answer?️ only one question. Kindly…

Q: Show that the generating function for the number of compositions of n where each part is either 2 or…

A: To find the generating function for the number of compositions of n where each part is either 2 or…

Q: The number of terms in the exp ansion of ((x +4y)³(x – 4y)³)´ is Option 1 6. 8. 12 2 3 The 5th term…

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Q: Find the value of a such that (3 + 4i)(1+2i) (1 + 3i) 9 = = = q(1 + i).

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Q: The probability that it will rain this week is 20%. What are the odds in favor of raining this week?…

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Q: (a) Find the left cosets of {e, (1, 2)} in S3. (b) Find the right cosets of {e, (1, 2)} in S3.

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Q: Starting with y= In(x3) 2 T 2,3. %3D

A: To find: The derivative of y=lnx2+32π. Given: The function is y=lnx2+32π. Concept used: Logarithmic…

Q: If n = 12 m (me N), prove that "C₂ (2+√3)² "Co- - + "C4 (2+√√3)4 n "C6 (2+√3)6 ·+···=(-

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Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: The expansion of an general expression is given by (a+b)n=∑nkan-kbkk=0n  so any term can be found…

Q: 6 - X < 6 X - 8

A: 6-x &lt; 6x-86 &lt; 6x-8+x

Q: S₂ 10 x 4x²8x +9 in14 (x-1)² +51 + √5 tan¹ (²²) + C Option 1 In 14 (x-1)² +51 + √5 tan¹ (2x = ²2) +…

A: SOLUTION-

Q: If 2n+1P-1 : 2n-1P = 11 : 21, then n² + n + 15 is equal to:

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Q: Find V)- Select one: O a. 2ln(E)+1 2 b. (æ)*(In(V#) + }) O d.(V)" 1

A: To differentiate