D and E are sets of real numbers defined as follows. D = {z | zs4} E = {z | z>6} Write D UE and D nE using interval notation. If the set is empty, write Ø. (0,0) (0,0) (0,0) DUE = | [0.0) OUO DnE = 0 08 -00

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A: The given function is: s(x)=x+2t(x)=3x2

Q: C and D are sets of real numbers defined as follows. C={z | z>1} D={z |z>8} Write CUD and Cn D using…

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A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

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A: Given x is a real number such that x≠0 To prove x2>0

Q: Suppose that the functions r and s are defined for all real numbers x as follows. r(x) =x-4 s(x) =…

A:

Q: Suppose that the functions S and t are defined for all real numbers X as follows. s(x)=x² t(x)=3x³…

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Q: E and F are sets of real numbers defined as follows. E= {x | x 2 1} F = {x | x < 6} Write En Fand E…

A: We can write the answer as below using the given data set.

Q: Let R, - {r E R|1 5 x3 x < 1 for each positive integer i. (Enter your answers using interval…

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Q: f'(x) > O on f1,2) f'(x) 0 on (-3,2)u(2.00) 5"(x)< O on (-00,-3) on (-oo,-3) Lir ontin uous for all…

A: Follow next step

Q: Suppose that the functions s and t are defined for all real numbers x as follows. s(x) = 3x² t(x) =…

A:

Q: D and E are sets of real numbers defined as follows. D={x|x24} E= {x | x< 5} Write DUE and DnE using…

A:

Q: Find the interval values for Z such that P(-z<Z<z)= 0.9886.

A: P(-z&lt;Z&lt;z) =0.9886.·.  x=1-0.9886         =0.0114

Q: Suppose that the functions s and t are defined for all real numbers x as follows. s(x)=x-4 t(x) =…

A: Just i have used the rule of addition , substraction and product of two functions and easily find…

Q: T T F 49. 50. F If x is a real number, then Vx' = x. Let A = B be a finite set of real numbers. If…

A: The following are true false  Solved below

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A: Since you have posted a question with multiple subparts, we will solve the first three subparts…

Q: C and D are sets of real numbers defined as follows. c=%=|z<1} Write CND and CUD using interval…

A: Given that

Q: Suppose that the functionss and t are defined for all real numbers x as follows. s (x) = x t (x) =…

A:

Q: F and H are sets of real numbers defined as follows. F={v|v<4} H={v]v<6} Write Fn H and FUHusing…

A: F = v|v&lt;4H = v|v≤6F∩H = those element/numbers continued in both F and H

Q: (A) There is a number c in the open interval (a, b) such that f(c) = 0. (B) There is a number c in…

A: This is a problem of real number topology, differential calculus and MVT.

Q: If an inflection point of the aurve f(x)=acos(2x) +bsin(3x) is P(n /6,5), then what are the real…

A: The given function is fx=acos2x+bsin3x. Substitute the point x, y=π6, 5 in fx=acos2x+bsin3x.…

Q: D and E are sets of real numbers defined as follows. D= {v|v> 1} E= {v]vs 8} Write Dn E and DUE…

A: Given D = { V | V &gt; | }           E  = { V | V ≤ 8 }We find D ∩ E and Due using interval nolation…

Q: C and D are sets of real numbers defined as follows. C={z|zs1} D={z |z<9} Write CUD and Cn D using…

A:

Q: Let S denotes the set of real numbers strictly between 0 and 1. Let a and b be real numbers with a <…

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Q: Let S be the sum of all positive real numbers z for which Which of the following statements is true?…

A: Let S be the sum of all positive real numbers “x”; x22=22xTaking log on both…

Q: 4. Let R be the set of all real numbers, xER and n EN such that n 2 2. If (1+x) > 0, prove that Pn:…

A: Let ℝ be the set of real numbers, x∈ℝ and n∈ℕ such that n≥2. If 1+x&gt;0, we want to prove that  Pn…

Q: C and D are sets of real numbers defined as follows. C={z |z<1} D={z|z<9} Write CUD and Cn D using…

A:

Q: 11. The set of all pairs of real numbers of the form (1, x) with the operations (1, y) + (1. ")=…

A: Given: The set of all pairs of real numbers of the form 1,x with the operations  1+y+1+y'=1,y+y' and…

Q: Let S be the sum of all positive real numbers x for which Which of the following statements is true?…

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Q: Let us look at all points (m, n), where m and n are nonnegative integers. Is it possible to find a…

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Q: Which of the following statement is always false? (a) For all integer x, [x] = [-x] (b) For all odd…

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Q: D and E are sets of real numbers defined as follows. D = {v | v> 3} E = {v | v ≤6} Write DUE and Dn…

A:

Q: E and F are sets of real numbers defined as follows. E={y]y<1} F= {y]y<8} Write E UFand En F using…

A: The given question can be solved as shown in step 2.

Q: If an inflection point of the aurve f(x)=acos(2.x)+bsin(3x) is P(7/6,5), then what are the real…

A: Given: fx=acos2x+bsin3x; pπ6,5 We know that point P is inflection point of the curve, so it lie on…

Q: Suppose that the functions s and t are defined for all real numbers x as follows. s (x) = 2.x? t (x)…

A: Given : sx = 2x2tx = x+1

Q: 4. Let R be the set of all real numbers, xER and n E N such that n 2 2. If (1+x) > 0, prove that P,…

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Q: Suppose that the functions s and t are defined for all real numbers x as follows. s s (x) =x+1 1 (x)…

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Q: 4- find the absolute max.and min. o f the function f = x² +y? Plate boun ded by = x +y? on the…

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Q: 2. Define the absolute value of x E R. then find all real numbers x such that |x + 1 < |x – 1).

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Q: If an inflection point of the aurve f(x)=acos(2.x) +bsin(3x) is P(z/6,5), then what are the real…

A: At inflection point :   d2dx2fx=0d2dx2acos2x+bsin3x=04acos2x+9bsin3x=0

Q: Find the value of k such that A is singular. (Enter your answers as a comma-separated list.) 0 k 1 k…

A: We have to solve the matrix

Q: Let a, x, and y be real numbers and let e > 0. Suppose that |x-al < e and y-al <e Use the Triangle…

A: Given that, a, x, and y be real numbers and let ε &gt; 0Also,x-a&lt;εand y-a&lt;εWe know…

Q: Let  Vi =    x  ℝ    −  1 i  ≤ x ≤  1 i    =    −  1 i…

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Q: 3. Which of the following is always true for any real numbers x, y? For real e > 0, if Ix-yl se,…

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Q: Which of the following is the set required for F2[x]? 35 - a) {1, (x + 1), (x + 1)²} b) {0, x, x2}…

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Q: Suppose that the functions s and t are defined for all real numbers x as follows. s (x) = 3x t(x) =…

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Q: Let A, B be sets of real numbers. We will say that B is dense in A if for any s e A and for any real…

A: Given that A,B,C are sets of real numbers with C is dense in B and B is dense in A. We know that a…

Q: E and F are sets of real numbers defined as follows. E = {x | xs 3} F = {x | x > 6} Write EN F and E…

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Q: Z is the set of integers, R is the set of real numbers. 2) For each of the following functions…

A: a) Here, f: Z -&gt; Z, f(n) = n - 6

Q: E and F are sets of real numbers defined as follows. E = {w | w<3} EUF=- F={w |w<6} En F=E 3,65…

A: