Represent the following sets by using listing method: (a) r:xeZ, such that x' <3}

Q: The set of functions {sin nx}, n = 1, 2, 3, ... , is %3D orthogonal on the interval [ -n, n]. Show…

A: Given- The set of functions sin nx, n = 1, 2, 3, ⋯, is orthogonal on the interval -π, π To Show-…

Q: Compute each limit or state that it does not exist. Use thetools developed in this section to…

A: Given: The given limit function is,

Q: How many bijective functions have [10] as both the domain and codomain?

A: Consider the provided question, We need to find How many bijective functions have [10] as both the…

Q: Express the set of numbers x satisfying the given condition as an interval. |x| &lt; 4

A:

Q: Given that f(x) contains the discrete points of {(0, 3), (1, 4), (2, 0), (3, 1), (4, 2)}, the value…

A: It is given that, function f(x) contains the discrete points of 0,3,1,4,2,0,3,1,4,2. We have to find…

Q: Find all points c satisfying the conclusion of the MVT for the given function and interval. y(x) =…

A:

Q: Express the set of numbers x satisfying the given condition as an interval. |4x − 1| ≤ 8

A:

Q: List the critical numbers of the following function separating the values by commas. f(x) = 5x² + 3x

A: We can find the critical numbers as below.

Q: use implicit differentation t. find

A: Implicit differentiation: In an implicit differentiation, we differentiate the given equation with…

Q: 8. Is the set of functions f₁(x) = 3e³x and f₂(x) = -3e3³* independent? Show using the -3.x…

A: Given functions- f1x=3e3x  and  f2x=-3e-3x To show whether the given set of functions is independent…

Q: : Jhat is he nodies onuegence

A:

Q: Find the absolute max and min of the function F(x)= 2sin(x)-cos2(x) on the interval [-π, π]

A:

Q: Express the set W = {r |x 8} using interval notation. Use "U" for or

A: Sets problem

Q: Is it possible for φ(n) (the Euler's totient function) to be bigger than n?

A: The objective is to find the possibility (if any) for φ(n) (the Euler's totient function) to be…

Q: Express the set of numbers x satisfying the given condition as an interval. |x| ≤ 9

A: Given: x≤9 Formula Used: z≤a, a&gt;0 then -a≤z≤a

Q: Theorem

A:

Q: Determine two unique values of θ in the interval [0,2π), such that                    sec (θ) = 2√3/…

A:

Q: Express the set of numbers x satisfying the given condition as an interval. |x + 7| &lt; 2

A:

Q: Find the largest open intervals where the function f(x) = O (-∞, -1), (-1, ∞) O (-∞, -1) none O…

A: We have to find the largest subset where function concave upward

Q: find lim :-/cosz COSZ ス→。 ス?

A:

Q: By using properties of outer measure, prove that thế

A:

Q: find the indicated limit using l hopital rule

A: Given

Q: Evaluate dz using Simpson's one third rule with 6 intervals.

A:

Q: Show that f is continuous on (∞ , -∞ )  .

A: we have to show that f(X) is continuous in (-∞,∞). f(x)=x2             if   x&lt;1           x…

Q: Sketch both a contour map with K= 0, 4, 16, 24 and a graph for f(x,y)= 4x2+y2 label points used for…

A:

Q: Compute each limit or state that it does not exist. Use thetools developed in this section to…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Show that there is a correspondence between the two intervals [0, 1) and [0,1].

A: Given interval 0≤x&lt;1 is a subset of  0≤x≤1. In this situation ,there is an obvious injective…

Q: Find four relations from {a,b} to {x,y} that are not functions from (a,b} to x, y}

A: We have to find four relations from {a, b} to {x, y} that are not functions from {a, b} to {x, y}.…

Q: use residues to evaluate the define utegral

A:

Q: express the set of numbers x satisfying the given condition as an interval.       lxl ≤ 9

A: Given: x≤ 9 Express x≤ 9 in terms of interval

Q: Find four relations from {a, b} to {x, y} that are not functions from {a, b} to {x, y}.

A: It is given that the two sets are {a, b} and {x, y}. It is known that if A and B are the sets then…

Q: express the set of the numbers x satisfying condition |x-1| &lt; 18 as an interval

A: The condition |x-1|&lt;18 is rewritten as,

Q: Find a point c satisfying the conclusion of the MVT for the function У(х) 3D 16/х on the interval…

A:

Q: Find a function flx) such that f(x) -llex and %3D 3. f(0)-- 주

A:

Q: Express the set W = {x | |x| < 3} using interval notation. %3D

A:

Q: Find all numbers, c, that satisfies the Mean Value Theorem for f(x) =x' on [1, 4].

A: Given: fx=x3.

Q: Find the domain of f (x) = V3-x x(x+2) Use interval notation, "ninf" for -∞, "inf" for oo, and "U"…

A: Given: fx=3-xxx+2   The domain is the set of all x values at which function is defined and real.…

Q: Find a point c satisfying the Mean Value Theorem for y=sqrtx on the interval [9,25]

A:

Q: Find the averuge valuc of the function fcx)-4x4 on the interval [2,6],

A: Given : fx = 4x4

Q: Express the set W = {r|x < 2} using interval notation. %3D

A: W={x | x&lt;=2}

Q: nd lim delta -> -4, tan(delta + 4) /5delta+20

A:

Q: /Use the mid-ordinate rule with eight intervals, to evaluate √²3sin² (x), correct to 3 decimal…

A:

Q: Build a table to estimate lim sin (Hint: Use multiples of t)

A: Given limx→0sin1x We have to build a table to estimate limx→0sin1x.

Q: How many functions exist with the signature Za → Zb?

A: To find the number of functions from ℤa to ℤb. Here a=b is given. We know that ℤa has a elements. As…

Q: Verify the Mean Value Theorem for f(x) = In(6x + 1) on | 0, %3D

A:

Q: Fix a constant r>1 Using the Mean Value Theorem that enx > 1 + x for any fixed x >0 prove

A:

Q: Find four relations from {a,b} to {x,y} that are not functions from {a,b} to {x,y}.

A: Given: Let A=a, b and B=x, y To Find: Four relations from A to B that are not functions.

Q: 3. Show that 5 x + 7 is a continuous fimction

A: Let, f(x) = 5x+7 be defined over R, the set of all real numbers. Choose an arbitrary point c in R.…