Problem 7: Find a power series representation for the function g(x) arctan(3x2) = χ

Q: -48 6

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Q: A = 6 -2 -2 10 -3 5 1 ---3-0 C=0-2 a = 1, b = [3 08]. -10 1 . B 5 2 11 9 4 4 7 0 0 11

A: We have to solve given Questions.

Q: 4 Evaluate -1 0 5 by: 3 - 2 expanding along the first row expanding along the second column A A 1.…

A:

Q: Divide. 3x – 3 7x - 7 Sx2 24 (x - 1) 7x(x - 1)

A:

Q: b. N(0)

A: Given,  r→t=sint, t, cost                   ...1

Q: Prove that X Pn dx %3D

A: Recurrence relation.  Partial fraction.

Q: 6/4 - 2/4

A: Explanation and solutions is given below.....

Q: (5V3)2

A: Explanation of the solution is given below...

Q: 2.3 Q13

A: The objective of this question is to use the Squeeze Theorem to show that the limit as x approaches…

Q: 7/2 + 3 4/6

A:

Q: n?_4

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Q: *1.5.11 Add. - 4+(-5) = 4 + (-5) =

A: Introduction: Integers are whole numbers (that is, numbers with no fractions) that include negative…

Q: 16 2/5- 8 4/9

A:

Q: 20/5+5+2*8

A: Consider the given expression

Q: coefficient of variaton for given populaion   5,8,9,11,15,16,17,19

A:

Q: 5 7/12 + 1 3/4 + 4 1/2

A: Given that 5712+134+412Solution  :5712+134+412=57+39+24612

Q: 9 5/12 - 3 2/3 =

A: Case 1: Let the given number be in mixed fraction notation.

Q: 10. 15gr, 20s

A: Given

Q: What is the 5th term in the expansion of (2x²y³ – ¹y)° O 14.25x7 y 20 15.75x10 y 19 15.05x¹0y17…

A: Given: 2x2y3-14y9=2x2y3-y49

Q: -3n in

A:

Q: Find L¹ 1 5 (s²-25) Do not expand. Use a property from 7.4.

A:

Q: 57-24

A: Given that: 57-24

Q: | (16 – 2*) dz =

A: To find : the value of ∫0216-x4dx   Using the formula ∫abxndx=1n+1bn+1-an+1

Q: Evaluabe: 25+3 se

A: Here we find Laplace inverse transform

Q: Find the nth term of  (– 4 3 14 29 ) and (4, 5, 8, 13)

A: Sequence

Q: 5 2/5+ n= 75/6

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

Q: 8-12 (²

A: -83

Q: Find A.

A: Given

Q: 2/5 +7/12

A: Please see the answer below.

Q: 17 8 15 Find show work please 2.

A:

Q: 土4 7

A:

Q: 4) /

A: Using By Parts rule of integration.

Q: 1. Use expansion along the 3rd row -4 3 1 2 -1 1 7 5

A:

Q: randomly drawing three green skittles in a row from a bag that contains eight green skittles out of…

A: Given that a bag contains 25 skittles in which eight are green. Three green skittles are drawn from…