Given the integral sin(x²) dx is difficult to integrate by hand, find a power series for sin(x²) By re-using the power series for sin(x) you already found in a previous homework. Then, integrate term by term to reach a 4-decimal place accuracy. How many terms will you need?

Q: Determine S27 for the series 90+5+87+10+84+20+81+40+…

A:

Q: 1. What is a(1) in the following series? 33, 36, 39, 42

A: Given data: The second term of the given series is a2=33. The third term of the given series is…

Q: Find S for each arithmetic series described

A: Given that- Arithmetic series-----Common difference is(d)=-2/3 Last term( An)= 44 Find------- S16=?…

Q: b Dos. either (onverg Series? why? s witing the G for cach of the

A: This is a problem of series.

Q: 3. 4-2 the I following Series iņ dil er gent

A:

Q: 1. Eind the Maclaurin Series f The fine tion flz)- Z-7 f the %3D

A:

Q: For this arthmetic series, find S22 -6+(4)+(-2)+0+... to

A:

Q: 2 Find the sum of the first 20 terms of the arithmetic series 6 + 3 +0 – 3 – 6 – ..

A:

Q: The sum of the series 1 +++…is 22

A: Here we find the sum of series.

Q: Find The Powet series for

A: Given: Here f(x)=x1-x2 To find: we have to find the power series for f(x)

Q: If a,,ª,,.....ª, is an AP of non-zero terms, what is the sum of the following series? 1 9,9₂ azaz

A:

Q: Find the sum of the series 1+ 4*2! + + 16-4! + 64*6! ....

A:

Q: . 08. If the arithmetic mean of two items of a series is 12.5 and G.M. is 10, what is the difference…

A:

Q: If an arithmetic series has a₁ = 4, d = 5, and n = 20, what is S, ?

A:

Q: 11 Find S1 =Ea, for the following series: 1- 5 + 25 - 125 + ... %3D n-1

A: Sum of n teams of a series

Q: 3919, find a601• Given an arithmetic series,S243 = 511272 and a243 5.

A: nth turm :an = a + (n-1)dSum :Sn = n2 (a + an)

Q: 2. Find the Maclaurik a. f(x) = 2. la f ....

A:

Q: Find power series:

A:

Q: Find 51 term of series 4,8,12,16..

A: The given sequence is 4,8,12,16... To find 51th term

Q: The sum of the first 100 terms of the arithmetic series 3 + 1 + (-1) + (-3) + ... is

A:

Q: af 2- Discrete with an accuracy of Ax3 using tailor series. ax

A:

Q: Show whether the series is abs. conv., cond. conv. or div. Σ(+1)

A: Introduction: The absolute and conditional convergence arises when the given series is an…

Q: Find the sum of the series. 9n n-1

A:

Q: Mean of the series 1, 2, 3, 4, 5 is 3. If the last item 5 is changed to 20. The new mean of the…

A: According to the given information, we haveMean of the series 1,2,3,4,5 is 3.Last item 5 is changed…

Q: A system with n components is operating in series. Suppose each component has the same probability…

A:

Q: Find S, for the series -2 + (-10) + (-50) + (-250) + ..

A:

Q: Check whether 301 is a term of the given series 5,11,17,23

A:

Q: 5. In the geometric series 18, -12, 8 which term is 512/729.

A:

Q: a f(x) = √++ x b. fcx.)..z f(.x.)..=.! (1+X)4 f(x)= X 4+x² 2

A: The functions are given as a fx=1+xb fx=11+x4c fx=x4+x2 We need to expand these functions using…