What is r' (x) when r(x) = In (x³ + 2x2 + 3x +1)? Select the correct answer below: In (3z2 + 4z + 3) 2+2z+3z+1 3z2+4z+3 1 242z2+3z+1 32244z+3 In (zª +2z² +3z+1) 322+4z+3 2+2z2+3z+1

Q: 1) Use the Substitution Method to find f 12x (3x² + 4) dx . O 20(3x^2+4)^10 +C O 0.2(3x^2+4)^10 +C…

A: The given integral is 12x(3x2+4)9.

Q: 4 find the difference quoitent of... f(x) = -√x-19

A: To find the difference quotient of the following function.fx=x-19

Q: Let A be 4x4 and det(A)=3. Then det(24)=. and det (A" A)=.

A: Given A be a 4×4 matrix and detA=3

Q: 19find all zeroS fx)=x3 +Hx*tX +H

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Q: Find the coefficient of z in -5 "Co-"C +"C2 +(-1)" 27

A: Consider the given binomial expansion: C0n-C1n2x-1x+C2n2x-1x2-.......+-1n2x-1xn Here, the objective…

Q: Show that Q(4 - i) = Q(1 + i), where i = √-1.

A: To show that ℚ4-i=ℚ1+i. That is we need to show that ℚ4-i⊆ℚ1+i and ℚ1+i⊆ℚ4-i. Here i=-1 that is…

Q: (2x* + 5x3 + 5x? + 10х + 8) + (x +2)

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Q: What is equal (1+5 k+3 j) (1+2 i+3 k) ^{- 1} Write the coefficient at j & k ?

A:

Q: Differentiate y O 1 4x +2 = x(x-1) (2x²(x + 1)) 3(x-1)²(x²+2x+1) 8x² + x 2 2 O3(x-1)² (3x²-1) 8(x² +…

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Q: The zeros for Ax) = x-4x-9x + 36x are 1) (0,+3,4) 2) (0,3,4) 3) (0,±3,-4) 4) (0,3,-4)

A: Using method of synthetic division to find factors of f(x).

Q: 2 fax) = 2 + 3x-xª for f(x+1)

A:

Q: If y 3 , then dx 5x2-3 10r2 3V/5x2-34 35x2- 3) 5x2-3 10x 3 3(5x2-3)2 10r 3 35x2-3)

A: Find the derivative of the given function.

Q: If fCx)=4x+ Ax²+ 6X-3 andf(2) =1 what is the value of A? %3D %3D

A:

Q: Consider x = 3x1 – 2x2, x, = 2x1 – 2x2, with x (0) = 3, x2 (0) = ;. b If x1 ge + e-, find the values…

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Q: Given g(x) = 6x – 15x +4x +8x–4 and )= 3x² – 3x – 1, what is the quotient ? A 2x – 17x+10 A 2x-5 B.…

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Q: csc/x+5 xp- 1) Use substitution method to evaluate Vx+5

A: Given:         ∫csc2x+5x+5dx     apply u-substitution     u=x+5→dudx=12x+5       dx=2x+5du…

Q: 1. Differentiate. Do not simplify. I b) g(x) = (7x3 – 3x² + x)(1+ 4x²) a) y = Vx4 -5x+1 d) g(x) =…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Does (Z11 , + , .) have subfields? In this case which subfields.

A:

Q: verify that (AB)T = BTAT

A: Given matrices: Now,

Q: 2 S²3 (x²-3x+18) 9x-X³

A:

Q: Find a, b, c, d for P(x) : = ax3 + bx? + cx + d if P(1) = 11, b = 3d, a = 2c and P(x) = Q(x) + x+1'

A: Polynomial and remainder

Q: The product of 2x3 + 3x2 +1 and 2x2 + 4 in z5 [x]/ is: X^2+2 None 5x^2+ 5x +1 O 4x+1

A:

Q: The product of 2x³ + 3x² + 1 and 2x² + 4 in z5[x]/ is: 5x^2+ 5x +1 4x+1 O x^2+2 None

A:

Q: 10) (42x-33)+ (7x + 7) Please write in Q(x)+r(x)/d(x) Form

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Q: For u(x) = 4x2 - x + 5 and v(x) = 2x + 4, which of the following is correct? a) (u – v)(2) = 11 b)…

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Q: Show that (z3 z4) -1 = (z3-1. z4-1)

A: We prove the given statement by taking Z3=x3+iy3, and Z4=x4+iy4. After using the fact of…

Q: Calculate GCD(x3 + 2x2 + 3x , x2 + 3x + 2) in Z5 [x]. What is wrong with my answer? The correct…

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Q: 4. (4x + )(4x - ) +

A: