20. Let D = {r € R: r > 0 and a² < a}. If sup D = b which of the following is true? A. b= a B. 62 = a C. b= ±Va. D. b> a E. None of the above.

Q: (e) Let A = {1,2, (3,4,5)), B=(2, 3, 4, 5, 6, 7). Find i. An B. A x B. P(AB), where P(X) is the…

A: According to the Bartleby guidelines I am answering only one first 3 parts.   We are given…

Q: II, Write TRUE if the statement is true and False if it is false. For items 3 to 6, JUSTIFY by…

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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: 9. What is not an element of the range of y = tan x? C. 0 3. D.-프 6. В. AB.

A: To find: Which is not an element of the range of y=tan-1(x)

Q: 2.2 Given that u = : (−2,3) and w = (−3,−2). Find... 2.2.1 v = (3u + w) 2 2.2.2 vu - 2w

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Q: Calculate , if xyz Ax, y,2) = x² – x²y³ -2 3 = x -x y -Z A.5 1 C. No one correct. В. D. E. 7 Е.

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

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Q: TOPIC: SETS 1. List the elements in the set. (x x < 3and xe Z) 2. List the elements in the set. (x 2…

A: To list the elements in the given set (1) x;x&lt;3 and x∈z

Q: 3. For any i E Z, let B, = {i, i+ 1}, the closed interval from i to i + 1. find a. B, U B2 b. Bz n…

A: Given: Bi=i,i+1 , for any i∈Z i,i+1

Q: .Which of the following is the value of x as y varies directly as x and k = 4 and y = 8? A. x 32 B.…

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Q: Find the divided difference f[x,x,,x,], if A²ƒ (x,)=4 and h=2. а. 3 O b. 3 О с. 7 - 2 O d. None of…

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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: B. Solve the following linear independent and Wronskian. 1. A-- t 3 ine functione 4. Consider the…

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Q: Use the graph of 5 x Y = x² + 4

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Q: Where is the mistake? Invalid 1. 2. 3. 4. qux Tt T Tf F Ft T Ff F fT tF fT tF q T T F F

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Q: Evaluate F.dr where c is defined by r(t) =; 0≤t≤ 2π

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Q: VI. Show that ydx = y dx it must be (a <h<b)if f(x) = 2x, a = 1, h 2 and b %3D = 4 20. f(x)dx is…

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Q: 41. Find a formula for the function S(x, y, z) of three variables that gives the average of three…

A: We have to find the formula for function S(x, y, z).

Q: H.W 1- If P(X = 0) = 0.2, P(X = 1) = 0.3, P(X = 2) = 0.5, P(Y = 0) = 0.4 and P(Y = 1) = 0.6.…

A: Given: PX=0=0.2PX=1=0.3PX=2=0.5PY=0=0.4PY=1=0.6

Q: 25. Which of the following is the answer for secx = V2 A. E + 2nk|k E Z}U {+ 2rnk|k € Z} 3 B. G+…

A: We will solve the problem

Q: Let w = f(x, y) with f E C² and x =h – kh, y = 4k. Which of the following statements are true?…

A: To find  Which of the given statement is true.

Q: Let f(x, y) = x(y - 3) and F = Vf. If r = with 0 ≤ t ≤ 2, then [F. dr is equal to: a. -7 b. -11 c.…

A: We find the line integral in the following way

Q: Q. Let X = {m, n}, and = {ø, X, {m}, {n}}. → [0, 00) by Define the function u : 3 if n € A 0 if n¢ A…

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Q: Let f(x) = VT, 9(x) = ,. , andh(x) = x². (h o ((h o go f) – f)) (4) = %3D 5-x Select one: a. 4. 81…

A: let f(x) = x , g (x) = 45-x and h (x) = x2f (4) = 4= 2g (f(4) = g2= 45-2= 43h (g(f(4)) = h 43=…

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: Let f(x,y) = In ( x2 + y). If fy(2,a)=fy- 1, 2), what is the value of a? а. 3 O b.7 О с. 8 d. 6 O e.…

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Q: a. In R?, let C be the line segment from (-1,2) to (0, 4), and let F = (x + 2,-xy). Evaluate S, F ·…

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Q: 1.103. Determine all values of the parameter m, where m=R, a) 2x²2 (3m-9)x+40-7.3m - 9m -9m 0 has at…

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Q: T T T F 26. For all sets A, if x E q, then x E A. F 27. F 28. For sets A and B, suppose for all x E…

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Q: 4. If f(x, y)=: Vx² +y? 1 , find f, and f,.

A: Given data is : fx,y=1x2+y2  To find fx and fy

Q: Let f(x, y) = x for y=0 and 0 for y+0. Evaluate each of the following or if they do not exist, state…

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Q: Evaluate the function. 2. Find h(3,6) when h(x,y) = 3x +y J3x+y O A. 9 O B. 10 O C. 3/5 O D. 5/3

A: We have given function  hx,y = 3x+y2 Put x = 3 , y = 6 h3,6 = 3×3+62 h3,6 = 9+36 h3,6 = 45 h3,6 = 35

Q: Let S = (2,5]. True or false? VxSyy>x • A. True • B. False True or false? VxSy € Sy<x • A. True B.…

A: This is a question of Real Analysis. In particular it is a question from the real number set with…

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: If the equations x = u? - v and y = 2uv define u and v as functions of x and y, find and %3D O A. du…

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Q: {4, X, {m}, {n}}. [0, 0) by Q. Let X = {m, n}, and = %3D Define the function um : 2 if me A then…

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Q: 3. lonsider the problem of pollution in the Lecke pollution în Burly Ovuffin. Assume the lake has a…

A: Part (a) The differential equation model for the pollutant concentration is where C(t) is the…

Q: Let X=(1,0, – 1,- /2)'. Then, ||X||, = Select one: а. -V3 O . 2+V2 C. -V2

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Q: Let A = {y ∈ Z : 2<y ≤ 14 and y is even}. What is |A|?

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Q: dw 22. If w = f(ax + by), show that b = 0. a ду Hint: Let ax + by = z.

A: Consider the following equation: z=ax+by Differentiate z with respect to x taking y as constant:…