e and F are sets of real numbers defined as follows. E={v| v<1} F={v|v>7} Write EUF and ENF using interval notation.

Q: the sets of real numbers defined as follows.  A={z|z&lt;2} B={z|z&gt;6} Write A ∪ B and A ∩ B using…

A: To find the union and intersection of two sets of the given set of real numbers.

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: Suppose that the functions r and s are defined for all real numbers x as follows. r(x)=2x-6 s(x)=x-4…

A: Given: Now, (s-r)(x)=s(x)-r(x)           =(x-4)-(2x-6)           =-x+2 (s.r)(x)=s(x)r(x)…

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

A:

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

A:

Q: Use interval notation to represent all values of x satisfying the given condition. y = 1 - (x + 3) +…

A: y=1-x+3+2xy is atleast 4 i.ey≥41-x+3+2x≥41-x-3+2x≥4

Q: If f(1) > 0 and f9) < 0, then there exists a number c between 1 and 9 such that Ac) = 0. く

A:

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…

A:

Q: Suppose that the functions r and s are defined for all real numbers x as follows.  r(x) = x-5 s(x)…

A:

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: 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: Suppose that the functions s and are defined for all real numbers x as follows. s(x) = 2x 1(x) =x…

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Q: Given that |f'(x)| < 1 for all real numbers x, show that If(x1) – f(x2)| < \x1 – x2| for all real…

A:

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…

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: Given f(x)= Vx– 5;x+5 and g(x)=x +3. Find the domain of (gof)(x)? | All real numbers greater than 5.…

A:

Q: Suppose that the functions g and h are defined for all real numbers x as follows. Write the…

A: Given:- g(x)=5x3 ,h(x)=x2  To find:- (g-h)(x)  (g+h)(x) (g•h)(-2)

Q: . Use the definition of e" to show that for any real numbers 0, 01, and 02. a. ee, = 0, +0,). b. e"…

A: We have to prove that  a.  eiθ1·eiθ2=eiθ1+θ2b.  e-iθ=1eiθ We know the definition from Euler's…

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

A:

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

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

Q: F and H are sets of real numbers defined as follows. F={y|y21} H= {y |y>7} Write FUH and FnHusing…

A: A set is a well-defined collection of objects. The objects, which belong to the set, are called…

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

A:

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: Suppose that the functions r and s are defined for all real numbers x as follows. r(x) = 4x-6…

A: Calculate r-sx. r-sx=rx-sx               =4x-6-x-3               =4x-6-x+3               =3x-3

Q: A and B are sets of real numbers defined as follows. A = {z | z2 3} B = {z | z< 8} Write A N B and A…

A: Consider the provided information, A=z| z≥3B=z| z&lt;8 We can write as,…

Q: For the given function f(x) and values of L, c, and e>0 find the largest open interval about c on…

A:

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: Find the values of x such that |2x + 7| < 0.01. The values of x that satisfy |2x + 7| <0.01 are…

A:

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 r and s are defined for all real numbers x as follows.  r(x)=4x-5…

A:

Q: Example: Given m(x) = x + 3 , n(x) = x² – 9 , and p(x) = Vx + 1 %3D - Find (n-m) (x) and write the…

A:

Q: If x is any real number, then cosh x = Σ + Σ n! n=0 n! n=0

A: We have to find out

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: Suppose that the functions s and t are defined for all real numbers x as follows. s(x)= 3x-2 t(x)=…

A: The given function is: sx=3x-2tx=x-6  To write the expression for: t+sxt×sx  To evaluate the value…

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: A and B are sets of real numbers defined as follows. 4 = {x | x > 3} Bx|x5 Write A n B and A UB…

A:

Q: 3. Given that fæ) is continuous for all real numbers, find the value of "a" & “b". 2ах + 3b , х<1 =…

A: It is known that if function is continuous for all real numbers, then left-hand limit and right hand…

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

A:

Q: D and E are sets of real numbers defined as follows. D = {z | zs4} E = {z | z>6} Write D UE and D nE…

A:

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 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: Use the definition of e to show that for any real numbers 0, 01, and 02, a. "": = M0, +0,) b. e" =…

A:

Q: Use interval notation to represent all values of x satisfying the given conditions: y = 7 - lx/2 +…

A: y=7-x2+2

Q: Use interval notation to represent all values of x satisfying the given condition. y = 2x - 11 + 3(x…

A: Use interval notation to represent all values of x satisfying the given condition. y = 2x - 11 + 3(x…

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…

A: