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Q: Let r = xi + yj + zk and r = |rl. r If F = find div(F). (Enter your answer in terms of r and p.) I…

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Q: Let w = f(x, y) with f € C² and x = 2k, y = kh³ . Which of the following statements are true? Select…

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Q: FL Let b > 0, b 1. Which of the following must be true if y = Check all that apply. hip O = b* In(b)…

A: no need of explanation as it is itself a formula

Q: Suppase thut and such that (x?fH f'x) + 3x F(x) on and It exe If t i frowa Oh frow a

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Q: Use a formula to express w as a function of t if w = s/s+4 and s = t2 + 2. w =

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Q: Find r'(t), r(t0), and r'(t0) for the given value of t0. r(t) = (1 + t)i + t3j, t0 = 1 r'(t0) =

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Q: tur f:R +Rf (z) = V100 – zHow many elements of the range of f (xare integers?

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

Q: Į c(x + y?) for 0 <x< l and 0 < y < 1, S(x, y) = otherwise. Determine (a) the conditional p.d.f. of…

A: The required pdf is given by: fy=∫01fx,ydx=∫01cx+y2dx=c∫01xdx+∫01y2dx=cx22+xy201=c12+y2

Q: a) Where is g(z) > 0 ? !! (Enter an interval) b) Where is g(z) 0 ? (Enter an interval) e) Where is…

A: Graph of the function helps to find the answers to the given problem. The values of x for which the…

Q: Write T if the statement is true, or F if it is false. W. 1. -dx x' +C 3 %3D 45x=-5x +C 9. 2. %3D 4…

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Q: Which of the following would represent an approximation of R(51) using information from R'(x) R(51)…

A: Given query is to find correct option for. R (51).

Q: (d) How many pairs (f, g) E F x F are there so that go f(1) #1 or go f(2) + 2? Explain.

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Q: Solue the following linear syste m +3x3= 1 | 2と+ X, + Xz = 4

A: Given linear system is 4x1+2x2+3x3=1x1-2x2-x3=02x1+x2+x3=4

Q: Which of the followings are the inflection points of f(r) = Inz I. x=0 II. x=e III. x=1 IV. ¤ = e 2…

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Q: Q3// Let x be a r.v having p.m.f X -2 -1 5 P(X) 20 3C 20 C 4C 1) Find the value of C? 2) Find C. d.…

A: The pmf is given as X -2 -1 0 2 3 5 P(X) C 2C 3C 2C C 4C 1. It is known fact that,  ∑ P(X)…

Q: Consider a point s in R3. (a) Is Ne(s) bounded? Briefly explain. (b) Is N¿(s) open? Briefly explain.…

A: Given that, A point s in ℝ3. On the real number line usual metric, the ε-neighborhood of α is…

Q: Evaluate F.dr where F(x, v) yi+ejand C is the line segment from (2, 0) to (4,0). a) 0 b) 2 c) - 2 d)…

A: Try to identify line segment then apply on integral part

Q: Use Simpson's rules to find the value of b if o f(x)dx ~ 0.5 and h=0.5 Select one: а. 2 Ь. 0.5 С. 1…

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Q: Compute the indicated quantity. P(A) = 0.2, P(B) = 0.5. A and B are independent. Find P(B | A). P(B…

A: Given P(A)=0.2 and P(B)=0.5It's also given that A and B are independent therefore P(A∩B)=P(A).P(B)We…

Q: Use a formula to express w as a function of t if

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Q: The domain and the range of z=cosh x+y are represented respectively by O A. D = { (x,y) ER X R: y 2…

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Q: Define f : R? -→ R by f(x,y) = xy and let E = {(x, y) E R² | f(x, y) < 1}. Find, with justification,…

A: For the solution follow the next steps.

Q: Let X~bin(18,0.6), then P(5 <= X < 10) is closest to: O a. 0.431 O b. 0.62 O c. 0.257 O d. 0.435 O…

A: Binomial distribution

Q: c) Let f:R → R be defined by f (x) = 2x² + 2x – 12. Is fone-to-one? Justify your answer.

A: A function f from A to B defined by y = f(x) is said to be one-to-one, if and only if for every pair…

Q: Let T : P2 –→ P2 be defined by T(p(x)) = p(3x + 6) and let B = {1, x, x²}. {1, æ, b c a If [T]B = d…

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Q: Evaluate F. dr along the line segment C from P to Q. F = -7xj; P(8, 3), Q(8, 4) #1 [F F. dr = i

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Q: Compute the indicated quantity. P(A) = 0.4, P(B) = 0.1. A and B are independent. Find P(A ∩ B). P(A…

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Q: value ne followin9 pro lems: i x, 11 2 4 3 5 48 59 6 11 7 14 8 17 9 18 10 20 1) 10 2) 3) 4) X = [4…

A: Solution: n= 10 observation: In the given example we need to find the summation values in the given…

Q: Which of the following would represent an approximation of R(51) using information from R'(x)? O…

A: In the question it is asked to write the approximation of R(51) using information from R'(x).

Q: 5. Which of the following formulas are in CNF? a. (q^r) ⇒ (p^ (q Vr)) b. p^((q^r)) ⇒ (g ^r) c. ¬((p…

A: To find: which of the following are in CNF.

Q: If ZS is complement to F and the measure of S = 210, what is the measure of Z F? 24° O 169° 21° O…

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Q: Cietni let ane let G4)= ti t2+34)j +4K HIC4) = 2,4し + 34j+(-144)1k fnd の) H4)XG(H) b) G4). HG4)

A: Given: Gt=ti+2+3tj+4kHt=2ti+3tj+-1+2tk

Q: Compute the indicated quantity. P(A) = 0.3, P(B) = 0.5. A and B are independent. Find P(B | A). P(B…

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Q: Use a formula to express w as a function of t if w = s2 + 1 and s = t − 8.   W=

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Q: Use the figure below and the fact that P = 2 when t = 0 to find values of P when t = 1, 2, 3, 4, and…

A: The given graph is piecewise graph of the derivative dPdt=-16      ;0≤t≤216t-48;2≤t≤416…

Q: Which of the following is the domain set of the function f(x,y)= arcos(x² +y² -3)+In(x² +y² -3) ?…

A: Solution

Q: Compute the indicated quantity. P(A) = 0.3, P(B) = 0.7. A and B are independent. Find P(B | A). P(B…

A: It is given that A and B are independent.

Q: Compute the indicated quantity. P(A) = 0.7, P(B) = 0.2. A and B are independent. Find P(An B). P(A n…

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Q: 4. Use e – d definition and show that the function 4.x? – y? - if (x, y) # (1, –2) 2x + Y f (x, y) =…

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Q: Compute the indicated quantity. P(B | A) = P(A) = 0.2, P(B) = 0.7. A and B are independent. Find P(B…

A: Comment: As per the our company guidelines we are supposed to answer only one question. Kindly…

Q: Which of the following implies that a belongs to the open interval (1.98, 2.02)? a. Jæ – 2| < 0.01…

A: Given: The objective is to find which of the given options implies that x belongs to the open…

Q: Compute the indicated quantity. P(A) = 0.3, P(B) = 0.3. A and B are independent. Find P(A N B). P(AN…

A: Property : if A and B are two independent events with probability P(A) ,P(B) then P(A∩B) = P(A) .…

Q: Compute the indicated quantity. P(A) = 0.8, P(B) = 0.1. A and B are independent. Find P(A ∩ B). P(A…

A: We have to find probability

Q: Let X-bin(6,0.57), then P(X=2) is equal to: O a. None of these O b. 0.293 O c. 0.325 O d. 0.167 O e.…

A: Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials…

Q: Ho We By the Same wayprove e that : X Jr (x) V+1

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Q: Let X-bin(18,0.6), then P(5 <= X < 10) is closest to: O a. 0.262 O b. 0.62 O c. 0.431 O d. 0.435 O…

A: In question, We have given X is random variable follows binomial distribution with parameters n = 18…

Q: Let r = xi + yj + zk and r = |r|. If F = r/r p, find div F. (Enter your answer in terms of r and…

A: Let r = xi + yj +zkand r = |r|If F=rrp , F=x,y,zx,y,zpF=x,y,zx2+y2+z2p/2

Q: Which of the following could be true if f"(t) = t/3 I. f(1) = ?t%s II. f'(t) = 7– 3t/3 III. f"(t) =…

A: Given that f''t=t−23. We have to check which is the option is correct. Integrate f''t=t−23 with…

Q: Which of the following represents the form of the par x+1 f(x) = (A, B, C & D are constants) x + 1 A…

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