Find the Maclaurin Series of the following functions. 1 sin(x?) 2 sin(x) 3 arctan(x) cos (x) 5 x'e* V1 – x3 4 6. e* 7 sinh(x) 8 x² arctan(x') .3 9 1- X

Q: + 2x)² 4x +2

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Q: Simplify. -8x +7+8x

A: we have to simplify the expression  -8x+7+8x = -8x+8x+7  =( 8x-8x) +7 = 0+7  = 7

Q: Find &A if a-12 and b-7.

A:

Q: Multiple and simplify    6y²/14 xy      •    7xy/4x²

A: Multiplication of ( 6y²/14 xy ) and ( 7xy/4x² ). ( 6y²/14 xy ) × ( 7xy/4x² ) = {(6y²) × ( 7xy)}/…

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

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Q: Add. -3 + (-7) + 6

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

A: Solution

Q: Simplify. 2a-1+ 3b- a-1-b-1 2a-1+ 3b -2 a-1-b-1

A:

Q: Let ā = and b . Find 3ā + b. -

A: We will simply use vector addition rules to find the answer

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: If 2y-8=24 find the value of 3y

A: The given equation is  2y-8=24 . ....... (1)

Q: Find the values of a, b and c if: 21 l6 2a 21 7 2 +2b 2 3 -b

A: When a constant is multiplied to a matrix, then every element of the matrix is multiplied by the…

Q: Find A for

A:

Q: Add. -6+ 5+ (-4) (-2) || || ☐

A: Steps and explanations are as follows: When we see an expression like -6 + (-4), we can think of it…

Q: a 3= 1 2+x

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Q: why are B and C multiplied by x

A: The non homogeneous part contains the term sin 2x and e^x.

Q: let B= [-1 2 7 -3] Find -3B

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Q: Evaluate 2 . [ 8 - 3  ( 4 + 2 ) ] - 3

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Q: Divide. y + 10y +21 y +7

A: Dividey2+10y+21y+7

Q: Simplify. (3 + 2x)(3-2x) 0 9+ 4x 09-4x² O 3-4x O9-4x

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Q: 2 3x+ АВ w B 10 O 20

A:

Q: veify For nzl that 2n t i73+5 tn t (2n-1)

A: To verify : For n≥1 ,   prove that 12+ 32 + 52+........+ (2n-1)2 = 2n+13

Q: 16x? + 40xy + 25y² = (. 5y)?

A: Complete the following: 16x2+40xy+25y2=(____+5y)2

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

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Q: d. 1 3a+18 = 1 - 8 a+6

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Q: 6c-8-2c= -16

A:

Q: x2 dr. Væ + 2 1. Evaluate -1

A: Integrate by parts.

Q: Let A = -1 -9 3

A:

Q: -2(3х + 4) + 4(4х +9) О А.10х + 28 О В. 10х + 44

A: To determine: simplified form of

Q: Solve. Enter your answers as a comma-separated list. v-10/v2-5v+4  =  3/v-1   -    5/v-4

A:

Q: Let = 2 4-8 L and = 0 Then proj= CO -4 3

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Q: y = 3x + 272 24 ਮ

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Q: Write the terms a0, a1, and a2 if an = 2n + 5(3n) for n = 0, 1, 2, …

A: We will plug n=0, 1 and 2.   We plug n=0, a0 = 20+ 5(30) = 1+5(1)=1+5=6

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.