Consider the function f(x) = x ln(x). Let Tn be the nth degree Taylor approximation of f(2) about x = 1. Find: T₁ T2 = T3 Use 3 decimal places in your answer, but make sure you carry all decimals when performing calculations T3 is an (over/under) estimate of f(2). = = If R3 is the remainder given by the Lagrange Remainder Formula: |R3| ≤

Q: Let a = - 2ỉ - 4j – k and b = 4j + 2k. Find — ả + b. V

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Q: If 23 + 33 = d and -i + 53 = 6b, express i and y in terms of å and b.

A:

Q: Rewrite each expression in the form a(b)x a.  52x b. 32x-3

A: a. 52xb. 32x-3We have to express in the form of abx

Q: Determine: if S = {4t - t2, 5 + t3, 5 + 3t, -3t2 + 2t3} is a basic for P3

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Q: Find the value of each expression if x = 2 and y = - 1. √x2 + y2

A: Consider the expression x2+y2

Q: If C = 2m2 + m and D = 2 - 6m + 2m2, find an expression that equals %3D 2C - 2D in standard form.

A: Given:  C=2m2+mD=2-6m+2m2 To find: We have to find 2C-2D in standard form.

Q: 3 Let A= (MA-|| _23]~B-[2²] and = 6-9 -4 -6 Find - 2A + 2B. - 2A + 2B=

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Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: Add. (-9 + 5x6 + 6x4) + (6x6 - 2x4+7) O 11 + 4x6 - 2x² -3x6 + 3x4 + 13 11x6 + 4x4-2 O 4x² O 13x10

A: Add:- (-9+5x6+6x4)+(6x6-2x4+7) Sol:- -9+11x6+4x4+7 11x6+4x4-2 So, third option is correct.

Q: = Let A = 9 -6-1 Find 4A + 3B. 4A + 3B = 7 and B = -2-5 7 8 (...

A: We will find the required.

Q: What is each real-number root? 1. a. V-27 b. V-81 c. V(-7)2 d. V-49

A: Here we can  a and c are real numbers but others are not Solution is given below.

Q: Find x, and x2- -52 28 -5 5 X2 40 X =

A:

Q: Let A = 36 58 and B = Find -3A+ 3B. -7 7 -84

A: A = 3658 and B =  -77-84 -3A = -3 3658 = -9-18-15-24 3B = 3 -77-84 = -2121-2412

Q: Let a =(3, -3, 8), and B = (-7, -1, 3), and = (8, 4, 11). Find ||2ä - 36||.

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Q: Find x, and x2- 30 X2 - 46

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Q: Write if Beijing is in China the Vatican is in Italy in a logical form then write the truth value

A: The truth value of a proposition is whether it is true or false. A proposition can't be true and…

Q: Find the zeros of each relation. c) y = -5x² + 5 d) y = 2x² - 2x - 24

A: NOTE: Refresh your page if you can't see any equations. . to find the zeroes, take y=0

Q: Let A = 0 5 8 - 3A + 2B = -9 Find -3A+2B. and B = -93 92 C...

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Q: Simplify. 27x* y* Assume all variables are nonnegative. Enter your answer in the box.

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Q: Solve for x. (Enter your answers as a comma-separated list.) X – 1 3 = 0 2 х— 2 X =

A: We know mod of matrix A2×2 =ad-bc

Q: Find √ √1+x²dx

A: To find out the integration.

Q: Let ā 47- 57 and b - 27 + 3j + 4k. Find - 2ā - 36.

A:

Q: If B =k- S-1and C--2k, ad an expression that equals 20 + 3C in standard form.

A: Given that B=k-5k2-1,C=k-2k2.

Q: Find x, and x2.· - 5 - 4 X1 - 55 4 - 5 X2 3 X1 = %3D II

A: To find x1, x2

Q: 3x³ +x² -4 3x+x2. dx x+2x

A:

Q: Jy - 2ycatex |_ 2xcot2x – 2Csc 2x 2CSC 2X %3D

A: The differential equation is dydx-2ycot2x=1-2xcot2x-2csc2x. The equation is of the form y'x+px·y=qx…

Q: Solve the following differential equation y"x+ 3xy' - 3y = 0

A:

Q: Find FOUT FOUstth goots -1+9i

A: Step 1 :Find (-1+9i)1/4  = rCosθ+iSinθ1/4(-1+9i) is of the form (a+ib)r =a2+b2 = (-1)2+(9)2 = 1+81 =…