6. Let A = 36 and v = 2 12 -6 A" v = 36 AT v = Ex: 1 Is v in null(A7)? Select an option ♥

Q: ds if s = Find dt 7t + 3 ds dt II

A: We have given;

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Q: Suppose that X, Y C U. If Pr(X) = 0.3, Pr(Y) = 0.32, and Pr(X n Y) = 0.08, what is Pr(X' U Y)?

A: Given :  X , Y ⊆ U . P (X) = 0.3 , P (Y) = 0.32  and P(X∩Y) = 0.08 .  To find : P (X' ∪ Y) = ?   The…

Q: 2) Use the antiderivative to find the exact answer for (hint u=3x) 1+9x²

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Q: af Find ar ar and ax' ay az 38 Ах, у, 2) x² + yZ + z? af ax ar ay af az

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Q: 4 Given F(r, s,t) = r (7sª + 7t°), compute: Frst

A: We are given, F(r,s,t)=r(7s4+7t5)⇒F=7rs4+7rt5⇒Ft=0+7r(5)t4( Partial derivative with respect to…

Q: 5. Show that if x,y∈Z and 3|x^2+y^2 then          3|x or 3|y 6. Show that if c=sa+tb where c=(a,b),…

A: Please check that x=1,y=3, then x^2+y^2=10 does not divide by 3. So  must 3|x and 3|y instead of 3|x…

Q: Show theit the fenias +- (AtI)(28+1) (P+1)(2p41)(38+1) (uhese a>0, B>0) conveages if B>a amd…

A: Ratio test If we have series ∑ann=1∞ Then we will find the limit l = limn→∞an+1an If l<1 , then…

Q: 3 Let A = -6 -1 -2 and v = -6- -2 3 Av = -6 2 -9 Ex: 5 s v in null(A)? Select an option

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Q: 10, elseunére Y,= amonnt ok pollutant Per Sample collected a bove the Stack WHhout the cleaning devC…

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Q: Ave the following fancEions contindous FCx)sメーZ メー2 てト=メ 1P 2) FCX)s X 3-5X +7

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Q: 9. If y = V-|x|, then D =

A: We can differentiating given function in the in particular domain.

Q: s^(1 – u)Vū du 4

A: Given integral   ∫141-uu du

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

Q: 2. If A C B, then m*(A) < m*(B). 3. If A = Q' n (0,1), then A is measurable. %3D

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Q: 4. ( Give a case in which |(x, y) |xlly|l.

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Q: In rank - sign test, the null hypothesis u = µo can be rejectedin favor of %3D the alternative u < u…

A: Signed rank test HypothesisHo:μ=μ¯oHo:μ&lt;μ¯oWe reject the null hypothesis if W+≤Wαwe reject  the…

Q: 2. Evaluate the following dr 2.1.V1-(In)* dr 2.2. VE(1+ z) dr e-e- 2.3.

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: . Suppose p is false, q is false, s is true. Then (svp is T/F? A True False

A: p is True q is False s is True Now, the statement s∨q is True if at least one of s and q is True.…

Q: If X is the number of heads obtained in four tosses of a coin, the 1 is 1+X mode of Y =

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Q: 74. Show that if 0 < x < y, then Vỹ - Vx < Vy – x.

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Q: 4. If /(r.y)=- , find f, and f,. V+y

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Q: 5. If z = In then determine if the following statement is true or false. Justify your answer. + y…

A: We will find whether the statement is true or false as following.

Q: 2 Let aj 3 (a) Write b as a linear combination of a and a2.

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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: A - (B U C) = %3D (А - B) U (A — С) (A – B) U C Option 1 Option 4 (А- В - С) (A – B) n (A – C)

A: given , A-(B∪C)  WE HAVE TO FIND EQUIVELENT TO IT FROM GIVEN FOUR OPTION

Q: 7. If u = a +j13 and v = -11 – jb, calculate Im(u + v).

A: Z =A+jB  Then ReZ =A ImZ = B

Q: . d the しいwits UI- Vタ+1 ユ ーリー! Cスリ る) しm 5) (Z,y)>(,) Cos Tzyl-a C)にm 反- vy Ca,y)Co)

A: Consider the limits, To solve, Multiply by the conjugate of numerator,

Q: (8) If w = 5x² + 2y², x= -3s+t, and y = s – 4t. Find and Əw as

A: The objective is to find the partial derivatives .

Q: 3. Show that X = (x|Ax=b, x ≥ 0} is convex. following ure which no

A: As per our guidelines we are supposed to answer only one question.

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

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Q: LetS 2 x;-x)2 be a biased estimator foro, then the bias= ni= 1 Select one: a. -D1 b. in d. 1 1/n

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Q: (15 49)} = at* e²¹ sen(71), et 2-¹ {-98 (8-2)² +49)} = What's the value of a*c?

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Q: 8 - If w = is a linear combination of v = and u = then r and s must be, respectively,

A: w is the linear combination of u and v then we can write  w= au + bv  Where a and b is the scalar

Q: A weatherman stated that the average temperature during july in a certain city is less than 40…

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Q: 8. If u = a + j13 and v = –11 – jb, calculate the value of Re be17 19 a =

A: Topic = Vector

Q: Q-5 Consider NLP problem, max 8() --2+ 2ィ-ズメューメュ+1 ダ」ン0 ズェン」 19 (2). Satsty fnst1 2nd order. For ist…

A: Given: Let's consider the NLP problem max sx=-x12+2x1-x1x2-x2+1 subject to x1≥0x2≥1,xa=12,1  satisfy…

Q: What is the best substitution to make to evaluate S O u = 3x Ou = e³x u=1+e³x Ou = e-3x e³x 1+e³x dx…

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Q: Find y' in y = (x³ 3x²(x²+e) x³ +3 A. y' = B. y' = C. y' = +3)(x²+e) +7x6 In (2³ + 3) +7x6 (x³ + 3)…

A: Understanding of derivative when function is there in power of any function.

Q: Then, we assume that Wn+1 - H Wn - u kin+1 kn 1 2 E Wn-p E Wn-p p=0 p=1 (6) Zn+1 - € Zn - E Vn+1 Vn…

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Q: (2). By Contrapositive: “V n e Z, if 3| (n² + 1), then 3 ł (2n² + 1)."

A: Solution:

Q: F(u,v)=(uv)e, +(2uv)e, a) Is conservative?

A: For calculating the vector is conservative or not. We will have to find out curl of the given vector…

Q: If u t- dt, then o V3 2 /3 O 3 9. 3/4

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Q: 5. Let fx(x) = aba aI, where x > b and a and b are positive parameters. Find E(X) and Var(X).

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Q: Given that A = ax + Q ay + az and B = Q ax + ay + az, if A and B are normal to each other, Q is -2 O…

A: Orthogonal, or normal vectors have dot product equal to 0.

Q: When u × v = 0 and u ∙ v = 0, what can you conclude about u and v?

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Q: Write equation for each ellipse

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Q: To test this null hypothesis, we compute t using a special case of the formula. state the formula?

A: In this case, we need to write the test statistic formula for testing the null hypothesis.

Q: 4 If fx> 0o ag x>a<, does fw→ 01 ven example to explan your state ment

A: Given: limx→af(x)=∞ To check: limx→af'(x)=∞ holds or not.

Q: [-8] Let v1 = 6 ,v2 =| 4 ,V3 = 8, and p =| 1 Determine if p is in Col A , where A= [v, v2 vz]. (a)…

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