Find the domain of gof, iff(x) =x² and g(x) = /x-6. %3D a. x26 O b.(- 0, -V6] U6, 0) | C. O d.(-30, -6)U(6, 0) Oel-a, -voJulvõ, x) | O f. (-30, -6]U[6, m)

Q: Evaluate x²+3x+5

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Q: (x + 5)/(x – 3) is NOT defined for x =   a. 3   b. 0   c. -3   d. -5

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Q: If possible, write -11 - 6z + 5z? as a linear combination of -2 - z+ z?,2 - z? and 5 +z- 2r?.…

A: We have to show whether -11-6x+5x2 can be written as a linear combination of  -2-x+x2,  2-x2  and…

Q: 4. Swin (w - 2) dw

A: The given integral is: I=∫wlnw-2dw   Apply the integration by parts to solve the above integral.…

Q: 1.25a +3> 0.5a-6 and 2.5a 129-1.5a

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

A: Solution

Q: Rationalize the denomina Vx +1 Vx +2 x +1 /x +2 (Simplify your answer.

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Q: Find n(B) if B = {x : x is a letter in the word “bookkeeper”}.

A: Find n(B) if B = {x : x is a letter in the word “bookkeeper”}.

Q: 2x,+x,-7 X; + Xz - 3x, = -10 6x, – 2x3 + X4 = 7 %3D 2x, – 3x, =13 =D13 |

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Q: 2x X 5) i dydx y 1 x

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Q: If a = [5,-2,1] and b.= [-1,-3,4], find | -a + 2b |

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Q: Find yll if x²+4y²=7

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Q: z(Z-7) at z= 5

A: =z(z-7)substitute z=5=55-7=5-2=-10

Q: (x2y2)2

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Q: Suppose A = (-1, –5, –7) and AB= (-5, 14, 4). Then В — (5,-70,-28) help (points)

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Q: +-1--34 -4++-0

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Q: d.

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Q: f A = (1 2)           (-4 5)   and B (-3   1)            (0  -2) calculate ATB

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Q: Multiply.     (x+y ) 2

A: The given expression x+y2.

Q: Simplify the expressim (x5y5)4 2.

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Q: 6 8. 6x - 3y = 15 4x – 3y =-5

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Q: Evaluate. j(x) =7 and j(x) = -7

A: Simply equate the both equations and solve for x.

Q: Find all zeros. f (x) = 2x +5x2 +4x + 1

A: The solutions of this equation are called roots of the cubic function.

Q: √4-x² 1²₂ S +*² S-14-x²-y² x dzdxdy

A: As per the question we are given a triple integral and we will evaluate it by changing it from…

Q: Suppose B = (8, -7) and AB = (1, -13). Then 0 A

A: If we have two points A=x1,y1 and B=(x2,y2) then AB→=x2-x1,y2-y1          Equation 1   If we have…

Q: Let B = {b₁,b2} and C = {C₁, C₂}. Find [v] and [v]. 10 -9 -8, -6 --5 C/ -4 -3, -2 6+ 4 3 2 1 H -2 -3…

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Q: Let y=x2+2kx+2. Find k when y=2 and x=3.

A: Step 1: Step 2: Step 3: Step 4:

Q: Let a = and b= (-3, –6). Find a + b, 2a + 3b, |a |, and | a - b |.- (5, – 12)

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Q: 3-y - 4ý – 12y = 3e* %3D

A: It is given that the differential equation y''-4y'-12y=3e5x. The auxiliary equation is m2-4m-12=0.…

Q: Find V³(x4- 2x²+4) O A. 24x -72 O B. 24x + 24 O C. 24x OD. 24x - 96

A: Explanation of the answer is as follows

Q: If G = {7, 8} and H = {5, 4, 2}, find G × H and H × G.

A: We will write the products as coordinates where the first element will be from G and the second…

Q: S(3w-2)² dw - 2

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Q: y = x² + x y = x + 5 2

A: y=x2+x y=x+5   a2-b2=(a-b)(a+b)