Evaluating Sine and Cosine Using the Unit Circle Example 1: What is cos-60°? b. What is sin210°? c. What is cos495°? a. What is to

Q: If P(A) = 0.5, P(B)= 0.40 and P(A U B) = 0.70, find P(A/B) and P(A U B) where A is the complement of…

A: HERE GIVEN, p(A) = 0.5 p(B) = 0.40 p(A ∪ B) = 0.70

Q: Show that if A × B = B × A then A = B

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Q: * Evaluate. 2t |4 + et| dt

A: Solution :-

Q: Let 4 -1 1 4 -3 A = 1 14 4 1 2 4 Find M21 and C21. M21 = i C21 i

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Q: Ifv = [ -2, 4], compute and draw 2v, 1/2 v, and -2v.

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Q: a12 ain a21 a22 a2n C2 and c = then express the product Question 2(a): If A = Cn Am2

A: The given matrices A and C are: As in matrix A has "m" rows and "n" columns and in matrix C has "n"…

Q: Show that (A¹)¹ = A for: A 4 3 3 2

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Q: Solve the problem. Leta₁- a₂ a3- and b- Determine whether b can be written as a linear combination…

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Q: Find the inverse of AB if and (AB)-¹ = 1881 A-¹. =B1 B-¹. = 31]

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Q: If B = 101 -1 1 2 -1 2 1 then det (B5) =

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Q: hat is the equation of the line that passes through A(7,3) and B(2,0)?

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Q: a2 аз ад 1. The value of BA if B = [1 0 0] and A = |b1 b2 b3 b4 [C1 C2 C3 C4

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Q: If v = -2 4 and w = 4 11 3 " compute proj(w) and proj(w).

A: (.) Given vectors are,      (.)  If  are two vectors then,         (.) Vector  is an orthogonal…

Q: In³ w 3 w√In²w-4 mp

A: Given :∫ln3wwln2w-4dw

Q: Let floo) = 0e 5 and gloo) = 2a19 Detemine Cgof) (x) 2079. %3D %3D

A: Topic:- function

Q: a. The total cost of 11 pencils and 3 erasers is $64 and the total cost of 8 pencils and 3 erasers…

A: Given that  The total cost of 11 pencils and 3 erasers is $64 The total cost of 8 pencils and 3…

Q: If then A-¹- = A = [1 0 0 07 3 1 0 0 24 1 0 8 55 1

A: The given matrix, A=1000310024108551 We have to find an inverse matrix of A.

Q: Q2. Find the inverse of 2 1 1 0 1 0 5 4 1 3 if it exists.

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Q: If B = 1 1 01 2 2 -1 1 1 then det (B5) =

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Q: Is the following a linear combination of A = [-29]. RJ 11 O Yes O No B = = [ ²₁ - ²2 ] · c = [₁ 2] ²…

A: We want to find the given matrix is in linear combination of other or not.

Q: Compute: -57 5 + [ 5 0 -1

A: Given data

Q: - 12 dt = t2 +t – 2

A: We are using integration after decomposing it into partial fraction form

Q: Find BA. A= BA= 0 -:] 7 -1 -3 0 -3 -5 -4

A: Finding the product of matrices.

Q: Find A ) A= [ ' for A -3 -2 3.

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Q: Can I a-convert the expression (Ax.Ay.x y) y to (Ax.Ay.x y) z? Explain briefly why or why not.

A: To determine and explain: Whether the expression λx.λy.x y y can be α-converted to λx.λy.x y z.

Q: If OS = 8, ST = |2, and OV = 10, then oW = 24. then VW = %3D If OS = 8, ST = 12, and OW = %3D

A: From given figure, OSST=OVVW812=10x8x=120x=15OW=OV+VW=10+15=25

Q: Engineer Teacher policeman Bushessman Male 19 12 32 18 Female 27 30 2 16 i. Female and engineer i.…

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Q: onditions, if any, must be set forth in order for a + b to be equal to n(A U B)?

A: In this question, the concept of Set Operations is applied. Set Operations The concept of set…