Math 152 Week 13 Workshop Problems Write up your solutions to each of these problems on a seperate sheet of paper. sin(x) 1. Let f(x)= Also, define f(0) = 1. I 4/8/24 (a) Using known Maclaurin series and power series operations, find the Maclaurin series for f(x). (b) The sine integral is defined by Si(z) = f(t) dt. Find the Maclaurin series for Si(z) (c) Use the first two non-zero terms of your series from part b) to approximate Si(0.5). 2. Using power series, evaluate lim x ln(1 + 2x³) 2-0 1- cos(3x2) 3. Consider the series 1 1 A). 3.3 32.5 + 33.7 (a) Find a formula for a general term of this series. (b) Using the Alternating Series Error Estimation Theorem, determine the error in using the first 3 terms of the series to approximate the sum of the series. (c) Find the exact value of the sum of the series.

Q: -5x -13 = -3

A:

Q: 7x+8=-20

A:

Q: +x² xp

A: We will evaluate the given integral as shown below

Q: 36x+5=52x

A: Solve the given equation for x

Q: 4x + 5 = -7

A: To solve the equation: 4x + 5 = -7

Q: -2x + 4 = 7

A:

Q: 3x² 3x2= -54

A: Given  3x2 = -54 x2  = -54/3

Q: 9x = -36 X= ?

A:

Q: -12 = 4m + 4

A:

Q: where did you get 10 and 6?

A: Here we have assumed that each rectangular run is x feet by y feet. That means: length = x width = y…

Q: 2x-1=-7

A:

Q: Solve the equation -7x-17 = -38 for x. • Write your answer as a number only. • Round your answer to…

A:

Q: -7=2r+1

A: Given,     -7 = 2r + 1         ⇒  2r = -7 -1         ⇒   2r = -8        ⇒     r =  -82

Q: x2+9x=-14

A: Given equation is x2+9x=-14 The equation can be solved by splitting the middle term.…

Q: 2x-2=4

A: Given,          2x-2=4

Q: -4y-12=6y+58

A: Given:

Q: Find a4 when a1 = 3 and r = - 2

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Q: +4dZ

A: Now , we will find the  value of the integration.

Q: 2z+5=-8

A: given  2z+5=-8

Q: y+6=20

A: Just subtract 6 from both sides and you'll get value of y.

Q: 4d-5=19

A: We have to solve the given equation. The given equation is 4d-5=19.

Q: 29 ×2+3

A: Given query is to perform indicated mathematics operation.

Q: x2+9x=-14

A:

Q: t 2X +3 x² イー

A: Simplify the above expression.

Q: -16m+8m=340

A:

Q: Answer Q-3

A: The addition rule of probability states that the probability of either of two mutually exclusive…

Q: -7c+9+5=-27

A: The given expression is: -7c+9+5=-27

Q: 4x - 3 = -13

A: We need to solve the following equation 4x-3 =-13

Q: 5x+-99x=44

A:

Q: 16t + 40t + 5 = 10

A: Given quadratic equation, -16t2 + 40t + 5 = 10

Q: 6x+5=23

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

Q: 90d² + 30d by 15d

A:

Q: Vx +7 = -3

A: We have to solve for x.

Q: 3x-2=13

A: Given equation is 3x-2=13

Q: 3x-2=7

A: Any linear equation in one variable can be solved by taking all the terms other than those…