In the following questions suppose A = {a, b, c}. Mark the statement TRUE or FALSE. {b, c} eP(A) {{a}} S P(A) ØCA {0} C P(A) ØCAX A {a, c} E A {a, b} E A X A (c, c) E A X A

Q: Let | a b. 2. =5, then 2a 26 2c 4g 4h 4i -e

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Q: Simplify: Зw 5 w-3 3-w Зw-5 OA. 3-w Зw-5 O B. w-3 3w OC. w-3 Зw-5 OD. (w-3) | Зw+5 OE. w-3

A: We have  to simplify

Q: Using DeMorgan's Theorem, The simplified expression of the expression Y = (A' + C ) . (B + D' ))' is…

A: We need to find the simplified expression of ((A'+C).(B+D'))' using DeMorgan's Theorem.

Q: (ex – 1)² | dx 3ex

A: We have to evaluate the integral

Q: Find 3xe Select one: O a. O b. da. Hint: use substitution. (e-1) (1-√e) (1-e¹) ○ c. O d. (1-e)

A: ∫xndx=xn+1n+1+clet x2=t2xdx=dtwhen x=0, t=0when x=1,t=1

Q: a b If p q |x y C r ZI ja+x b+y c+z 5z -r = -4, evaluate 5x 5y -P -q

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Q: Please answer in typing format for like

A: Given : For two events A,B∈Ω,(i) P(B|Ac)= 0.1 (ii)P(Bc|A)= 0.8(iii)P(A)= 0.4Where Ω is the set of…

Q: Translate the following symbolic sentence into IDIOMATIC English using the abbreviation scheme…

A: Given: C1"{1} is a cabinet member  F1:{1} is a prime minister D2:{1} defrauded {2} L2:{1} lied to…

Q: The dependent variable is the second value in an ordered pair. O True O False

A: The dependent variable is the second value in an ordered pair  A.TRUE  B.FALSE

Q: Let C(-6,3) and D(3,0). Determine which is larger: ||CE|| or ||DE|, if E(-2,1)

A:

Q: Linear AlgebraDemonstrate each of the properties:

A:

Q: Given v = (3, –7) and w = (-2, 5), find a. v• w b. w• v c. v• v d. |||

A: Given, v=3,-7 & w=-2,5 To find, a. v.w b. w.v c. v.v d. v

Q: Find AT, ATA, and AAT.

A:

Q: Determine C if u=v=O (20 — 5и + 3)du - (20 + 4и — 6)dи %3D O 27 L- C

A:

Q: Q3 Evaluate fII, xyz dxdydz, 3 < x < -2,0 < y < 1,0 < z S.

A:

Q: FIND THE INTEGRAL USING U-SUBSHI TUTION Hcochx cothtx dx Slebeh 2

A:

Q: by change of variable with u = e, evaluate [√ere da

A:

Q: Evaluate f Vr+ V?dx Oa. 3 am +2) +C (V2) +C can) Ob. 2 am +2) +C 30 om +C (25) Oc 2 an +m) +C O d. 5

A:

Q: ...=AxB|^2| JĀ X B|? al . B= 2ī + 27 – 2K 3Ā = -i- 35 -k JS là

A:

Q: M 15 J L

A:

Q: 3) Copy and complete the following table. g(x) f(x) (fo g) (x) |x| а. b. ? x - 1 x + 1 с. ? d. Va…

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Q: Let a=-1, b=1 and c=-1. The quantity -ac ae* + be¬x can be written in the form witanh(x))z for…

A:

Q: The value of fe-3dz is

A:

Q: Let u = (1, 2, –4), v = (-5, 3, -7), and w = (-1,4, 2). Perform the operation u. Type your answer...…

A:

Q: JN IS THe MEDIAN TO UE UN = 4x-3 NE = X + 12 FIND UN NE UE -

A: We have given a triangle JUE .JN is the median to UE. UN=4X-3. NE=X+12. We have to find :  a) X.…

Q: 0 b and B: b Let A = Show AB = - BA.

A:

Q: V. Let u¯= (-7, –2) and v= (-7, -1). Find u Select the correct answer below: O (0, 1) O (14,3) O (0,…

A: Given u→=-7, -2 and v→=-7, -1

Q: Solve the non-linear Differential Equation y"=-e xy = f(x) by explicitly following these steps:…

A: Use the following formulae, to obtain the solution.

Q: -1 -x d. Let A = 2 2 1 2 i. |A| =

A: Given that: A=-x-1-xx2x212

Q: Evaluate : L [e2t -3 + sin h St ]. e? +. 1 e'(s – 2) s -64 s+3 s? -64 A.) B.) 1 8 e? e (s - 2) s?…

A:

Q: snip

A: In Euclidean geometry, the geometry in our every day experience, the…

Q: Given C(x,16) D(2,-4) E(-6,14) and F(-2,4) find the value of x, so that CD || EF

A: Given points are  C(x, 16), D(2, -4), E(-6, 14) and F(-2, 4) The slope of a line joining P(x1, y1)…

Q: (z-1)²sin (dz (2-1) C:\z + 11 = 1

A:

Q: 3+18p 2 36p 1+6p 12p² O b. p +6 12p² O 1+2 C. O d. 3+2p Simplify O a. ³, P# 0 3, p= 0 ,P# 0 6p, p= 0

A:

Q: Prove that: ā x (B x č) = (ã-č )b – (ã ·5 )ẽ

A: See the details solution in below

Q: dx Evaluate : 1-

A: Consider the given: ∫dx1−xApply u-substitution:u=1−x∫dx1−x=∫ −2−u+1udu=−2⋅∫−u+1udu

Q: j. What is |P(A x C)|?

A:

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.