C and D are sets of real numbers defined as fo C={x |x< 4} D= {x |xs7} Write Cn D and CUD using interval notation. If the set is empty, write Ø. (0,0) (0,1 CnD = ]

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…

A: Given are the sets as follows: C=z|z≥1D=z|z&gt;8. Here z∈ℝ. It is required to find C∪D and C∩D. The…

Q: If f(x) = and g(x) = z+3 %3D I-1 H-2 The domain of fogis the set of all real numbers except z+1

A: For f(g(x)) to be defined first g(x) needs to be defined

Q: F and H are sets of real numbers defined as follows. F={v|v< 4} H={v]vs6} Write FO H and FUHusing…

A: F and H are sets of real numbersF=v|v&lt;4H=v|v≤6

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

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Q: (2) The floor function is defined as a| = max{m e Z|m < x}. Effectively, the floor function is the…

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

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Q: Find real numbers x and y such that ty 2 2 - i i+3 1 +1

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

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Q: Given the function g(x) = In(x? + k?) with k a positive real number, hence k > 0. %3D and g"(x) =…

A: *Graph is concave up on interval (a ,b) if double derivative of function is f" (x) &gt; 0 on…

Q: Let D, = {x € R|1sIs1+} %3D = 1,1 +for each positive integer. Find the following and enter your…

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Q: Suppose that the functions r and s are defined for all real numbers x as follows. r (x) = 4x- 3 s…

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Q: B and C are sets of real numbers defined as follows. B = {w | w>1} C = {w | w<9} Write BUC and B n C…

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Q: The interval ___________ consists of all real numbers for which x ≤ a.

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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 functions r and s are defined for all real numbers x as follows. r(x) =x s(x) = 3x²…

A: givenr(x)=x3s(x)=3x2(s-r)(x)=s(x)-r(x)=3x2-x3      answer(s.r)(x)=s(x)r(x)=3x2.x3=3x5     answer

Q: For all real numbers x and y, [x]+ [y] = [x + y] – 1. For all real numbers x, [x –1] = [x] – 1. | -

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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={y]y<3} D={y]y<9} Write cn D and cUD using…

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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…

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Q: Letx, y, and z be positive real numbers. Show that: xyz(x+ y+z)sr°y+ y°z+z°x

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Q: Suppose that the functions r and S are defined for all real numbers r as follows. r (x) = 4x-3 s (x)…

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Q: Determine all values of x so that det(A) = 0, where

A: Determine all values of x so that det(A) = 0.

Q: Suppose that the functions r and s are defined for all real numbers x as follows. r(x) =x+6 s…

A: Given : rx = x + 6sx = 4x + 4

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…

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Q: Suppose that the functions r and s are defined for all real numbers x as follows. r(x) = 6x s (x) =…

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

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Q: Find functions f and g from the set of positive integers to the set of real numbers such that f (n)…

A: Here, we need to find functions f and g from the set of positive integers to the set of real numbers…

Q: Suppose that the functions r and s are defined for all real numbers x as follows. r(x) = 4x+1 s (x)…

A: Given : The functions r and s are defined for all real numbers x as r(x) = 4x + 1 s(x) = 3x   To…

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

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Q: Define Floor: R → Z by the formula Floor(x) = for all real numbers x. Here are some example values:…

A: See the proof and counter example below.

Q: Let R+ = {x € R|x>0} be the set of positive real numbers. Let A = [a,b), a,beRb +00, be an (right…

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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: The functions h and m are defined on the set R of real numbers by h:x→ ax +b and m:x → cx -d, where…

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Q: F and H are sets of real numbers defined as follows. F = {w | w< 4} H= {w |w< 5} Write FU H and FN H…

A: Given F and H are sets of real number defined as followsF = W|W&lt;4H = W|W≤5We find F ∪ H and F ∩ H

Q: Suppose that the functions r and s are defined for all real numbers x as follows. r(x) = 6x s (x) =…

A: Given  rx=6xs(x)=2x+3 where the expression for r+sx,  r-sx  and  r·s2 is to be evaluated.

Q: and D are sets of real numbers defined as follows. C= {z |zs3} D = {z |z<6} ite CUD and Cn D using…

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Q: B and C are sets of real numbers defined as follows. B = {y|y> 1} C={y|y≤9} Write BUC and B n C…

A: Here, the given sets are: B=y|y&gt;1C={y|y≤9}

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

A: Find s-rx as shown below: s-rx=sx-rx               =3x2-x3

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: Is it true or fase ? There is a number c in the interval (a, b) such that f(c) = 0.

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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: E and F are sets of real numbers defined as follows. E={x|x&lt;1} F={x|x&lt;7} Write EUF and E∩F…

A: We have Sets E={x|x&lt;=1} and F={x|x&lt;7}.So , first we will plot the number line for given sets.…

Q: Let R be the set of real numbers and f:R- (1,00[ and g: R→R be defined as f(x) = x² +1 and g(x) = x…

A: Given:- f:R→1,∞      by f(x)=x2+1g:R→R             by g(x)=x+1 Now, f∘gx=fgx f∘gx=fx+1 f∘gx=x2+1+1…

Q: e and F are sets of real numbers defined as follows. E={v| v7} Write EUF and ENF using interval…

A: Note that: Union of two sets contains all the elements present in both the sets and intersection of…

Q: 3. Evaluate |(n + 1)! – (n + 2)!|, where n E N. 4. Let R be the set of all real numbers, xER andn EN…

A: 3) to evaluate

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: Let x and y be positive numbers such that such that x + 2y= 50. Find the values of ? and ? that make…

A: Please refer the attached image for complete solution.

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…

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