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A: Given points : P1= (3,-4)  and P2 = (-2,1)

Q: vecter u =(=1,0,k) v= (6,-4,2). whit is velne of K for which two nectes are

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Q: appropriate method, beginning with th Bxy' = 6y + 3x¹cos² (²), y

A: Given: 3xy'=6y+3x4cos2(yx),y(2)=0

Q: Evaluate e2z for z Ti. 1+i 1

A: In the given problem we have to evaluate…

Q: R(z) = In(6z +e²)

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Q: 4. (a) In O0, if L AOD = 50°, find 4 CBD. %3D B D C.

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Q: In a class of 40 students 25 speaks hindi and 15 speaks both english and hindi. All students speak…

A: Given Number of students speaking Hindi ,n(H)=25 Number of student speaking both English and Hindi…

Q: || es / MATHT02-AIl dx x244 ²+3 In 13 2+2 In

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Q: Lommatifs=RTA ITELIR Pi's ain ver table then *Hの

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Q: Q.2) Evaluate cln 7 cln 2 cln 5 e(z+y+3) dzdydr In 6 In 4

A: Given triple integral is ∫ln6 ln7∫0ln2∫ln4ln5 ex+y+z dz dy dx   Note:- ex+y+z =ex ey ez

Q: Find the Arey Of the ouer [o,2] ? ojon betueen me gropns fo)=x" and gex) CX+I) こ

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Q: Pebermine x and such that -4 3 -4 -4 -3 4 -8 4 -4 -2 3. 3. OC

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Q: 3. If z=2cis TT/6, what does z^6 equal?

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Q: Ex2Eulers method dy-y- ニーュー メキー メーコyo o<メ< heoo? ー+hfexョプコロ)

A: We have to find the solution of the equation y'=x-yx+y in the interval 0,1. We have the formula from…

Q: /2² tan (r*)dz Evaluate

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Q: what is the averaage value of y=a/x on [1,b]?

A: First we have to find formula of average value.

Q: Since X~N(0,1) and Y = e^x , E [Y] = ?, Var

A: Given that X~N(0,1) Y=ex Consider, E(Y)=E(ex)        =∫exf(x)dx       =∫01ex12πe-12x-012dx…

Q: we Show that far Re (2) >1 c= r(2) J(2)

A: The given problem is to show that the integral is expressed as the product of gamma function and…

Q: In OR, QS = 2(PT). Also, mZP = 23°. Find mZVRS. %3D

A: Given and join TR.

Q: 3. Consider A={m,a,t,h}; C={x:x=3n,1sns4,neN}; B={s,t,e,m} ; D={x:x=2n,15n S6,nEN} What is ANB?

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Q: Find the probabiliti (a) {Y < 8 – (2|X|/3)}, and (b) {Y < 8+ (2!X\/3)}. Compare the two results.

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Q: 3 II vcos (=") dz dy dz Evaluate 0,

A: Then given integral is  ∫01∫0z2∫03ycosz5dxdydz

Q: solve jhe Bemoulli diffarantil by let hing V= ; 3.

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Q: Prove using INDIRECT PROOF: 1) P → Q 2) R → S 3) ﬢQ ۷ ﬢS ﬢP ۷ ﬢR

A: The statements given are as follows: P→QR→S~Q∨~S For the first statement, we will apply the…

Q: Suppose ỹ = cje (:)- + czetx () is the general solution to = Aj. What is A O We don't have enough…

A: Use given differential equation y' = A y to find it.

Q: piore that Hha polynemial s p8)=/ (2)=4(322) are the So lu tions egendre difforentibl Equotins: and

A: It is known that Pn(x)=12nn!dndxnx2-1n is the polynomial for legendre differential equation.

Q: Q 22 On Mutually exclusive then a die is rolled for getting 3 or 5 equal 2/3 *

A: Note: Please repost Q24 as i can answer only 1 question as per my policy. Q23)When a die is rolled…

Q: noger whare : y's Fl7. ) Homogencus writter us Example 2: y'- 3yay %3D

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Q: E. The Johnson family got married a few years ago and they planwoH (b to have five children. They…

A: Probability of girl = 0.5 Probability of boy = 0.5

Q: mTQ mOR U 44 mTS T. 25 S. MSOR MRQT %3D

A: Topic:- geometry

Q: a?u at (r,y)=(2,2), when Evaluate u = In vr² + .

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Q: 1 y 21 In(t), t > 0. 2.

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Q: Exaneple:s Fsid me nature 22,2 f he QF + 37,? :- 2 + 2 1122

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Q: 6. ailb are rectors nghot 1 mit. if tHe a and b m R, both havng g betwreen ongle Is , than la-26)-…

A: Given query is to find the value of indicated vector operation.

Q: 2. The probubility of a new antivunl medication successfully curing patients was found to be 0.77.…

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Q: z+i dz = + ni. 23 + 2z2 Select one: True False

A: According to the given information, it is required to check whether the given integral is true or…

Q: What is KN + IK? GHI J KLM N -4 -3 -2 -1 0 1 2 3 4 KN + IK =

A: It is given that,     We have to find the value of KN+IK.

Q: 7. у%3Dх! 8. In(x?y) = 3 „Inx ,In3x² 9. y = eln3x²

A: To evaluate dydx: 7) y = xln x8) ln(x2y) = 39) y = eln3x2

Q: A B Y Given that YIB and ZIB, what conclusion can be made?

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Q: What is the value of w,(r, 0) at r= 1/2, 0 = 1/2 in Question 7? 1+ 2 et 4 4

A: We have to solve the problem

Q: (d) Could p(y) for y = 1, ..., 6 be the pmf of Y? 92 --Select-- , because p(y) : y = 1

A: The given function is P(y) =y2 /92         y=1,2,3,4,5,6

Q: Is AXYZ ALMN? Why? N X N Y L N M DISM

A: To identify whether the given triangles are similar or not.

Q: Suppose that X, Y C U. If Pr(X) = 0.4, Pr(Y) = 0.22, and Pr(XnY) = 0.07, what is Pr(X' U Y)? %3D

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Q: (6) If u, = x-Pa(x)Pn-1(x) dx, show that nu, + (n – 1)u,-1 = 2, | and hence evaluate u.

A: To get the desired result first we will the recurrence formula for pn(x). Then after simplification…

Q: 8-2 ニ デnd av =? ジ うy av =? at the 20号 2マ = ? 293 proint (い) =ク a9, 292 =? =?

A: As per guidelines we are supposed to solve only first four subdivisions. Please repost other…

Q: OC {(z, 9) 2? + y? z and z € (-1,1]}- O D. {(x, y) + y? z}-

A: We have to check

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.