- 3x Suppose S(x) = (;) ". Evaluate: - 3x +C 3. In (5) A - 3x 3 B +C In (5) – 3x · In (5) +C 3 – 3x In (5) +C D 3

Q: Let a = 6 and b = 6 What is the coefficient of x6y6 in (x + y)a+b?

A: This is a question of counting. One needs to find the coefficient in this fi ite expansion.

Q: Let A = -7 -7 08 Find - 3A. -3A =

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Q: Expand (-3x + 11)(-4x – 9)

A: We have to expand the given expression.

Q: Suppose Var(X) = 32, Var(Y) = 47, and X and Y are independent. What is Var(.15X + .85Y)?

A: Given, a  and . and  are independent random variables.It is required to find the .To solve this…

Q: Determine O a. O b. dy d. (4r+3) (4r² +6r+3) r(r+1)(r+2) (4r+3) (4r²+6r+3) r(r+1)(r+2) r(r+1)(r+2)…

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Q: Vhạt is the end behavior of each of the followin 1) y = :-4x + 2x? + 7 2. y = 2x - 3x + 4 3. y = -x3…

A: As per guideline we have to solve only 3 subparts

Q: A-1 does not exist.

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Q: Let A = [-2  6]              [2   8] Find 3A.  3A =

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Q: Let a = (-5, 5, 4) and 6 = (-1,-4, 5). (a) a × b x (41,-21,24) x (b) b × ā X = (c) (ã × b) × ã = (d)…

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Q: If a = bx + c, then x=

A: This is an equation in which we calculate x

Q: Let B = [b1, b2, b3] = -1 -1

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Q: If a = {3,1,2}, b = {-1,1,0}, and c = {0,0,-4}, show that a x (b x c) does not equal (a x b) x c.

A: Given :            a=(3,1,2) , b=(-1,1,0) , c=(0,0,4)

Q: 3. Simplify (x+ 2)(x2+3x- 4).

A: (x+2)(x2+3x-4) = x(x2 + 3x - 4) + 2(x2 + 3x - 4) = x3 + 3x2 - 4x + 2x2 + 6x - 8 = x3 + 5x2  + 2x…

Q: Suppose Var(X) = 88, Var(Y) = 17, and X and Y are independent. What is Var(.28X + .72Y)?

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Q: Let A = [0  2]              [5 -2] Find -4A.  -4A =

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Q: Solve det[A] + det[B] when [2 + i 3 A = -6 2il [6i B = l2i i

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: the slop of the line (2y - 4x - 7 = 0) is * O-2 4 2. O 7 4

A: Slope of the line

Q: Evaluate s(s³ – 4) ³ -4) 3 ds Vs –10s² + 6 99. |

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Q: 4 2x+x*/x-1 2. Evaluate S 2 1

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Q: 4. State whether the statements are true or false. Explain. (a) There is an even number multiple of…

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Q: d. e. 8x³10x² - 12x - 15 2x² - 3 I 3x4 - 2x² - 5 3x² - 5 13 X x² − 1⁄2x³ + 3x² −5/2x+12/20 - f. 9 -…

A: Solve given expression using long division method

Q: (c) Give an orthonormal basis for Span {x₁, X2, X3}.

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Q: Sx(x-2)/xr³ – 3x² + 5dx

A: By using substitution, we calculate the given integral.

Q: 2 4. Express 989 = 23 43 in the form x² + xy + 5y².

A: The given number is 989. The objective is to express the given number in the form of x2+xy+5y2.

Q: Consider the function f (same as in the previous problem) defined on the interval [0, 10] as…

A: Given Data: fx=35xx∈0,53x∈5, 10-y''=λy, y0=0, y'10=0To find: cn

Q: 18. Which of the following expressions is equivalent to (5x - 4y) (3x – 2y)? Select all that are…

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Q: 8. If (3x- 5x + 5y– 2) is subtracted from (-2x² + x- I), what is the coefficient of x in the result?…

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Q: 4.) Which expressions have a negative product? Select all that apply. A. (-1)(2)(-3) B. -(-3)(-2) C.…

A: Solve the following

Q: If a * b denotes a² – ab + 2, find the value of 2* (3 * 2). What is the value of x if x * 3 = 0? %3D

A: Given a * b = a2 - ab + 2

Q: (-3z2 - 4z + 7) – (2z? + 2z - 1) = -5z - 6z + 8 O True False

A:

Q: Suppose Var(X) = 43, Var(Y) = 36, and X and Y are independent. What is Var(.67X + .33Y)?

A: GivenX and Y are independentVar(X)=43Var(Y)=36

Q: Prove that if 8x-5=-2x-15 then -x=1

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Q: Find A3 if A = {1, 2, a, b}

A: Given,      A=1, 2, a, b

Q: (a2xdx а. 2a2x + C 2a²x b. + C In a 1 a²x + C 2 In a d. None of the above C.

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Q: S(in 6x) dx x (In 6x)2 - 2x (In 6x) +c x (In 6x)2 - x (In 6x) + x + C <(In 6x)2 - 2x х (in 6x)2 + 2x…

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Q: Compute the following. 35x4-32x3+15x²–10x+18dx -5

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Q: Suppose Var(X) = 71, Var(Y) = 12, and X and Y are independent. What is Var(.59X + .41Y)?

A: The objective of this question is to find the variance of the linear combination of two independent…

Q: Compute A B, where A AB= 0 -2 2 -2 0 2 -4 7 8 -5 -1 2 and B = 8 -2 1 -5 -1 3

A: This question can be solved using the concept of multiplication of matrices.

Q: 6 8. 6x - 3y = 15 4x – 3y =-5

A: