Let flt.v) = y+3r²e!. Then f satisfies a Lipschitz condition in y with L = 2, given that 1

Q: The constant k which satisfies P(k <T < to.2) = 0.3 is: %3D А. -to.2 В. to.1 С. -to.1 D. None of the…

A: t distribution: Let us assume X is a random variable following standard normal distribution and Y is…

Q: The domain of the function ,y) = In[x* +y² – 1) is:?

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Q: A vehicle at is masing giren by Phe equation the morir alocity Vz SCx*+4)/8 . find Peitinn at if…

A: Given: v=5x3+48, P2=252

Q: Let R={(x,y) ERxR: |x| = |v|). Then R a function on R. оо True False

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Q: Exercise 2. Prove that dim(null T") = dim(null T) + dim W – dim V and dim(range T") = dim(range T),…

A: We prove dim null T*=dim null T + dim W-dim V and dim range T *=dim range T for every T L(V·W).

Q: 2. Let f:Z→Z be the function given by fAn) =3n+1. a. Is fone-to-one? Briefly explain why. b. Is…

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Q: Let X; = tB¡ B,ds. | Is (X,)r20 a F - martingale?

A: Consider the given process:        Xt=tBt-∫0tBsds

Q: Give the condition which ensure that Je-| < 1 where z E C.

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Q: pYq (pA-q) V (-p ^ q) Show that each of the following holds. a. p ≤ p = 0 b. pvp = I

A: Let's prove each of these statements: (a):  To show p⊽p≡0: We'll first express p⊽p using the…

Q: 27. Let f(x)= [x²/3]. Find /(S) if a) S-2, 1, 0, 1, 2, 3). b) S= (0, 1, 2, 3, 4, 5). c) S = (1,5. 7.…

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Q: D if x,Y,2 inclepndent Variables and z function in X, Y which achieves the eguation find az…

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Q: the Feurier tranefrn XC10) for the Pulse f the Sapual derlribed bekw: Frind 「-2, -ろs トヒへロ X(4) %3D…

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Q: es New Let x, = 1 ,x, = 2, f(1) = a, ƒ (2) = 2a, Q11(0.5) = 3. Then a = Select one: а. 7 b. 4 с. 6…

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Q: Find a ≤ b such that

A: ∫abx2-9dxApply the Sum Rule:…

Q: Let X={X1, X2, X3, X4, X5) and A = 0.7

A: Given: To explain the correct option of the given statement as follows,

Q: A. If X~N(196,20), find x such that Pr(X < x) = 0.945.

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Q: O2/ Find all Max. Mn. Saddle point for the function Lelowr lay) = 2xy-5x-2y" + AX+4y-4 %3D

A: Maximum , Minimum and saddle points for f(x ,y) :   For critical points , fx(x,y) =0 = fy(x,y) (say)…

Q: Ex filnd divergenceof f when yj at (o1). 2 e ( + 9 J

A: See the answer below

Q: Which of the following is the parent function for a) f(x) = x b) flx) = x c) fx) = Ix| d) flx) = Vx

A: Given function is y=23x2. We have to find the parent function of y=23x2. The parent function is…

Q: Evaluate xy ds, where C is describe by æ = 4t, y= 3t, 0 <t<1. Enter your answer as a number in…

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Q: Determine the length of x = ¹³ (y − 1)³/² between 1 ≤ y ≤ 4.

A: Thank you 😊

Q: -Prove that 2x² - 8x = 22 has at least one soution on the interval IVT. [5,10] by using

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Q: f. Is the domain of f(x.y)= In (6x + 5y“) bounded or unbounded? O Unbounded O Bounded

A: the domain will be Unbounded because

Q: 3. Let f : A → B. Then 1gf = f and f14 = f. Hint. You may use the fact that fg, for functions f, g,…

A: Let               f1 : X→Y , f2 : X→Y be two functions, then we say that the functions f1 and f2 are…

Q: 6. x = t and y = 3t – 2 for 0Sts4 %3D -

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Q: Given that X~N (2,25) , find pr (0 < ? < 10)

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Q: 41. For ), find all values ofx and y such thatx,y)=0 simultaneously. and yr.y)=0 f(x, y)…

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Q: Q2l find the Least-squargs fre Line y=f) - AX+B for the followingdato 2. Ук

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Q: 5. Find the x-coordinates for all points of discontinuity for f(x)- 「X316, xśl x〉 1 2 c. 1, 32d.…

A: First we check the limits as x approaches to 1 from left side and right side .

Q: Given, F = x²yî – 2xzj + 2yzk. Find V × (V × F)

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Q: Let X=(1,0, – 1,-/2)'. Then, ||X||2 = Select one:

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Q: What is the largest interval on which the following IVP sure to have a unique solution: (t…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Let f(x)= x+1, find all xeR such that f[f(x)]=2 the solution set is: а. у%3D0. b. y=x. с. у#х. d.…

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Q: xy Let z . Then: 4x2 – 5y? | az dz ду

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