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

Q: If L(4sin(3t) + 2cos(9t)) = 4AS³+Bs²+Cs+D (s²+9)(s²+81) the value of B is

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Q: et X,~11/4 1/2 nd P{X,X, = 0} = 1,

A: X1~-101/41/211/4X2~01/211/2and P(X1X2=0} =1 A joint probability mass function  P(X1, X2) =P(X1 = x1,…

Q: 2. If P = {x|0 ≤ x ≤ 10} and Q = {x|5 < x < 20}, a) Find Pn Q b) Is 5 € Pn Q? c) Is 10 € Pn Q?

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Q: 16. 3x So ² (z+y²) dydz 2x pasky

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Q: a 3Da 十n2 n – 1 -

A: an  and an-1  have constant coefficient so that relation is linear Relation has n2 non-homogeneous…

Q: x = -1 if y=u° +5u – 4 a

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Q: Consider a, = V4n² + 3n – 2n for n > 1. %3D -

A: Introduction: The sequence is a set of functions with the set of natural numbers as the domain of…

Q: O Calculate the d eterminant of [I 30 2 -2 -5 7 4 3521 7-1 2 -3

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If f'lx)=4x³+ 3x²+1 and fe)=S, what is feoi)?

A: Given,            f'x=4x3+3x2+1 and f1=5To find : f-1

Q: Differenticte y= (SN( 3))/ (4t 5cos (2x))

A: Given :y=sin(3x)4+5cos(2x)

Q: If 3x – 4xy = 1, then when x = 1, A. В. 1 c. D. 0 E. - O N-

A: We use implicit differentiation

Q: -4 c4x Evaluate . So S dydx.

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Q: 7Vi +13V2 -168

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Q: R 19. If mZ4 = (3x 7)°, and m25 = (9x – 43)", find m2UPS. S. 5 P 3 O 18 O 61 O 90 O 151

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Q: 4. To the left of z = 2

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Q: Re, De 0 x-3 义+一 6 P(x) = ス-2 3+7 O x-5

A: See the attachment

Q: Suppose z = 5 + -2i and w -5+ -4i. Then Im(zw) =?

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Q: 2. Find x in b = ax if a=23 and b=368. Reply in this format: 1. q = r = 2. x =

A: The given expression is: b=axwhere:a=23        and       b=368

Q: If e^(5x)=13, then x=?

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Q: For how many values of x E z+, x < 100, does 5|(3" - x2)?

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Q: Q4 for all nz 1 we went to Shot that 27

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Q: 2. If X is N(3, o² = 4) find (a) P(X < 3). (b) P(X <5), (c) P(X < 1).

A: Given that X is Nμ=3, σ2=4 i.e. X~N(μ=3,σ=2) Then Z=X-μσ follows standard normal distribution i.e.…

Q: If n(U) = 100, n(X) = 51,  n(Y) = 43   and n(XUY)' = 15 What is n(X ∩ Y)?

A: Given: nU=100, nX=51, nY=43 and nX∪Y'=15. First, find nX∪Y as follows. nX∪Y=nU-nX∪Y'=100-15=85

Q: -If w@z is equivalent to 3w-z, what is the value of (w@z)@z?

A: We have to use simple logics to solve the problem Please note: the answer provided by you seems…

Q: |In T 4 In r-5 d.r. lIn² Evaluate

A: topic - definite integration

Q: In the diagram below, if mz1 = 28°, mz2 = 17°, and mz3 = 85° , find mz4. %3D 3 4 35° O 113° O 50° O…

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Q: Find AC B T. 4

A: Apply the property of the triangle then find the value of the AC

Q: If ∫01f(t)dt=11, what is ∫00.25f(1−4t)dt? ∫11.5f(3−2t)dt?

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Q: If z = -9xe-4xy and x = √√t, y = . Then, the value of 27 t = 4 is equal to 4e² Select one: O True O…

A: We can answer the question as below using the rules of derivative.

Q: Evaluate In r dydx y – K + 13

A: In this question we have to find double integral.

Q: Find a using the following diagram, if m/1 = 7c - 12 and m/2 = 4x + 3.

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Q: -2x - 6 M N NL = x+ 15 WV = x+ 21 WN =

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Q: en b. In³ + n)n%=1

A: Explanation of the answer is as follows

Q: O N (AT) = R(A)-

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Q: Σ Ea = n². %3D k=1

A: It is given that,  ∑k=1nak=n2

Q: to give to her Father, Breanna had a ba sket OF apples . she de cided away 2 OF her appler plus 1 /2…

A: To find the number of apples that was at the beginning.

Q: 2Fn>Fn+1 for n>3 true or false?

A: Given,       2Fn&gt;Fn+1 for n&gt;3

Q: A project management consultant estimated that if a particular project was completed, t years after…

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Q: If a you had two groups in a study Group 1 had a n=25 and Group 2 had a n=21, what would the df be…

A: Given that n1 = 25 and n2 =21.

Q: If (ar + bx) = 4n and n+1 k-1 (ak - bx) = , then > ak = n+2 k-1 k-1

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Q: (ii) Hence, evaluate 37x² – 17x + 38 J, (x + 6)(x – 1)²"

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Q: B increases as µ approaches from µo, when Ho is false True or False

A: Given problem Given that   B ( β )  increases as μ approaches from μ0, when Ho is false . Ans)…

Q: Q2 : IF A=51-4J-2K and B=l+6J Find AXB,

A: The Dot Product gives a scalar (ordinary number) answer, and is sometimes called the scalar product.…

Q: Suppose z = 7+-8i and w = 9 + 7i. Then Re (2)=?

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Q: and (A) (B) = x, = 2x, = 3x, Show that if 8. N N (AB) _ (BC) _ (AC) 1 = y, then the value of neither…

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Q: If m*n denotes Im-n2 find the value of j. 3* (2*1)

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Q: -2 In r dydx - К + 13 Лу

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Q: If mML – (11z – 5)", mJK = (4r + 26) "andm/MNL (10z – 12) ,find m/MNL.

A: Question 1,Given,           ML⏜=11x-5° , JK⏜=4x+26° and ∠MNL=10x-12°

Q: IfΣ (ak + bk) 4n and n+1 k=1 E(ar – bx) +, then Eak %3D | n+2 k=1 k=1

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Q: Suppose X~B(n,p) and E(X)=20,Var(X)=12, Can you find n=_ _p=_______?

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.