Given that and det(A) = 8, evaluate the following: a. 3 det(A2) = b. det(A-1) = c. det(2A) = d. det(AT) =

Q: Which expression is equivalent to: -3 ד ("z y-12 ?א27) 67x12 192x12 13 11 67x y z13 192x y

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Q: Calculate Answer: J[₂ ye -xy dA, where R = [0, 7] × [0, 6].

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Q: Find y(t) for the following: + 글e- 2 –5s Y (s) = s-3

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Q: Find å · b for å = (4,1, →) and b = (6,–3,–8).

A: Topic:- dot product of vectors

Q: Find the following

A: Given integral is: ∫-9t-2.5-2t-1

Q: (14+ x) ÷ 2 when x = 4

A: Note: It is being assumed that the expression: (14+ x) ÷ 2 needs to be evaluated when x=4.   In the…

Q: Evaluate the following:

A: Given that: ∫(6x2-4x+1)dx

Q: dt √√3 3+t²

A: The given integral is 1/(3+t2), limit from √3 to 3.

Q: KD and ZE are complementary. If mZD = 5x + 3 and mZE = 3x – 1, what is x? 081

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Q: -8y-9(2y²)°(4y¬8)-2

A:

Q: Let A= -5 2 , B= 1 0 . Then 2A+3B= Select one: O a. [-7 4 b. [-10 4 ] C. 1-9 4 d. [-2 2]

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Q: Find A. A = 24 -- [34] 2 (8A)-1

A: Inverse: A matrix B is said to be the inverse of the matrix A if AB=BA=I, where I is the identity…

Q: 1. Find (A-1 B-1), If 0 -2 1 A = [] and B = [ [²4] 0

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Q: Let A=(¹). 3¹). Find 3A³2A² + 5A - 12.

A: Given: A=1-123 We are required to find: 3A3-2A2+5A-I2

Q: 6. Determine the domain of the following: a. y = -3/14 + 3x b. y = V4 + 3x –- x² x+1 С. у %3 х(х-2)…

A: Domain of given function at which y(x) is defined.

Q: V (x²) -2xî Select one: True False

A:

Q: Simplify (ex)5 . e(7x + 6) to the form eA x + B) = eC. eDX where %3D A = B = C = D =

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Q: A bathtub initially contains 60 litres of water. If the water drains for thirty seconds, the bathtub…

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Q: simplify the following expressions  (x²/5y)²

A: Given x25y2 to simplify the expression

Q: Evaluate y2−y1x2−x1 given the following values.   x1=21, x2=12, y1=21 and y2=3

A: The given expression y2-y1x2-x1. We have to find the value of the expression for x1=21, x2=12,…

Q: If n(A U B) = 96 and n(A) = n(B) = 69, find n(A n B).

A: Let A, B be sets and n(A), n(B), n(A∪B) be the cardinality of the sets A, B and A∪B respectively. It…

Q: S dt t2/t2 - 25

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Q: If 2x-y=4 then 6x-3y=? Select one: a. 0 O b. 18 C. 12 d. 15 e. 10

A: Let 6x-3y = t

Q: Find x if mZ1 2x+ 10 and m22 3x-6. O a. 4 Ob. 24 Oc. 42 Od. 16

A:

Q: xdx Evaluate x2 + 2x + 1

A: The integral to be solved is . Since the integration is indefinite; a constant of integration is to…

Q: The value of x such that (9) 3x – 12) = (3)2x) is: Select one: а. 12 b. -6 С. -12 d. 6

A:

Q: Suppose uu=8₁ u • v = 7, and v•v=6. Evaluate the number (3u-v) • (a +3v).

A:

Q: If n(A) = 67, n(8) = 15, and n(A N B) = 9, find n(A U B).

A: Topic- sets

Q: If n(A) 108, n(A U B) = 155, and n(A n B) = 43, find n(B).

A: Given: n(A)=108, nA∪B=155 and nA∩B=43.

Q: (b). Apply the indicated operator A2(x3 + 6x2 + 2x).|

A: Given term is  ∆2x3+6x2+2x

Q: 4x+2y=7 y:5x %3D5%

A: