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: 33x хе x³e³x dx S

A: This question is based on integral by parts.

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: What would the answer be written in this form: Write in the form: [x,y,z] = [a,b,c] + ....

A: The answer is written in this form only.

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: Linear AlgebraDemonstrate each of the properties:

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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: 8. Evaluate: fdx a. x + x+In+C b. In(x²-1) + C C. x + tan ¹x + C d. 1+In+C x-1

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Q: CONVERT TO a tjb FORM

A: This is a problem of complex analysis.

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

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Q: 3(b) Let x1, X2, ..., Xn be a basis for a vector space V. By generalizing the r produce an infinite…

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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

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Q: Ext: Find in 이) (2+31)2

A: Given, (2+3i)2

Q: XA - ХА + yl th

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Q: M 15 J L

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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…

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Q: Find all vahues of a b, c and d such that [: ]-[::] a-b ŏ+a 8 1 3d+c 2d- c 7 6 Select one: O a. a =…

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Q: The value of fe-3dz is

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Q: EVALUATION A. Express each item in simplest form. 1. (-6x³y*)³ 2. (5a?xy)(b³y*)³ 12x5y* 3. 3x²y3

A: Property 1: (pq)n=pnqn Property 2: amn=amn Property 3: aman=am+n Property 4: p-k=1pk

Q: In the diagram below, if AB= 40, CD = 25, and AD = 80, find BC. D. O 15 O 40 О 25 O 60

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Q: (2+2x) e4+2² dæ her tonic

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Q: please answer this with the correct answer. Thanks,  If a = [–1, 0, –3] and b = [3,0,1], find…

A: Given: a = [–1, 0, –3] b = [3,0,1] find |proj.(a on b)|= ??

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

A: See the details solution in below

Q: 4E + B e SEppose - and A-(8 then %3D a3 Pind ai/a2/a3, au And find the value of B

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Q: dx Evaluate : 1-

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

Q: NS a (1 3 41 34 2. 14| B AB 14

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Q: 1. Let A= Find A.

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Q: 4 et D be the third row of the inverse of 2 2 2 31 2. What is the sum of the ...

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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.