Fill in the blank/s : The set of elements common to both (- ∞, 9) and (- ∞, 12) is ................. This represents the ................ of these intervals.

Q: express the set of numbers x satisfying the given condition as an interval.       I x+ 7 I < 2

A: Given: x+7<2 We know that solution of inequalityx+a<b is given by -b<x+a<b

Q: Find the interval in which the following function ar estrictly increasing or strictly decrreasing…

A: Please see the explanation below

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

A:

Q: Identify the open intervals where the function f(x) = 4x+ 4x+ 1 is increasing or decreasing. a)…

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: 2- -7-6-5-4-3-2-1/1\1/2\3- 4-567

A:

Q: Identify the intervals where Increasing O (-1, 3) O (-2, 1) O (-2, -1) or (3, ) O (-1, 0)

A:

Q: Determine the open intervals on which the graph is concave upward concave downward. (Enter your…

A:

Q: Describe the set as a union of finite or infinite intervals. {x : |x2 + 2x| > 2}

A: {x:x2+2x>2}

Q: Find the intervals below 1.

A:

Q: On which of the following intervals is fx)=x*-100x2+x-10 concave up? OA (-inf,-5) O B. (-inf,-4)…

A: We will use second derivative test to check concavity

Q: Express the set of numbers x satisfying the given condition as an interval.        I x -4 I < 2

A:

Q: Choose the correct intervals of x and y such that (x+y)³ is greater than 8. O A O B x> or y > Oc y>…

A: Y’’ +4y’+ 5y=35 e-4x      y’(0)=1  --> i) Therefore, (D2+ 4D +5)y =0 is homogenous The auxiliary…

Q: Give the domain of s(x)=x2+2x√16−5xs(x)=x2+2x16-5x in interval notation

A: Given the functions(x)=x2+2x16−5x

Q: Select all of the intervals below that are closed. O (0, 1) |(0, 1] O (0, 1) O (0, 1]

A:

Q: use interval notation to represent all values of x satisfying the given conditions. y=7x-23+2(x+7)…

A: Given, y=7x-23+2(x+7) and y is at most 0

Q: II. Let U = R I = {x € R|x° – 14x³ + 45x = ( J = {x €R|x° 2}. Find the following. All infinite sets…

A: We have I={x∈ℝ|x5-14x3+45x=0} Solve for x in  x5-14x3+45x=0, We get I={-3,-5,0,5,3}.

Q: Use interval notation to write the intervals over which fis (a) increasing, (b) decreasing, and (c)…

A: Proceed as shown below...

Q: th term in the exp ansion of x 20, then r is?

A:

Q: Consider the following intervals on R: A = (0, 1); B= (1,2); and C = [2, 3). Determine if every pair…

A: Solution

Q: express the set of numbers x satisfying the given condition as an interval.          I 4x - 1 I ≤ 8

A: 4x-1≤8

Q: 2. Find the intervals for Z such that P(-z < Z < z) = a. 0.9886 b. 0.7372 c. 0.8354

A: Let z be the standard normally distributed random variable with mean 0 and standard deviation 1

Q: et F be the collection of

A: To define, T(G)=∫G(z-y)dG(y),G∈F

Q: o Yes, zero is contained in the interval.

A:

Q: 1. dt 1+1? (Use 8 intervals) 3.

A:

Q: a. Find the intervals OF concavi ty and the 'inflecti o of -g(x)=x"-12x².

A: We will find the intervals of concavity and inflection points.

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

A: It is given that,y = 2x - 11 + 3(x + 2) and y is at most 0. We have to use interval notation to…

Q: Express the set of real numbers between but not including 2and 7 as follows.(b) In interval…

A: given: 2&lt;x&lt;7 given expression in interval notation can be written as below x∈2,7

Q: Find Let to (n)=0x8-1 UMVUE for ajo их --x b) 8- ~fginj खरा k). 08. 6+1/010

A:

Q: Express the set W = {q|q 2} using interval notation. Use "U" for or .

A:

Q: 3. On which of the following intervals is f(2) increaaing? Choose all that apply (a) (0, 1) (b) (0,…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Identify open intervals where funotion is increasing 4. 3. 2. マ 3 4 ーラ-2-1 -4 A (-3,0)U (3,0) B…

A:

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

A:

Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

A: If f'(x)&gt;0 for every x on some interval I , then f(x) is increasing function . If f'(x)&lt;0 for…

Q: Algebraically, find the intervals of concavity (interval notation) and inflection points as ordered…

A:

Q: Identify the open intervals where the function is changing as requested. Increasing 3 45 6 O (-3,…

A: Increasing

Q: Determine the intersection XN Y. Express the answ er in interval notation. X= {x |x2-2} and Y= {x|x<…

A:

Q: TRUE 27

A: We are asked to write in interval form.

Q: Teste for continuity of the foll dewing 4.. fr) = fra) = { 5- xく。

A:

Q: Determine the open intervals on which the graph is concave upward or concave downward. x² + 6 f (x)…

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: A swimmer dives into a pool and swims to the other side. Can you use the IVT (with the interval…

A:

Q: A ball was thrown up into the air and allowed to bounce until it came to a halt. 10 4 3 0 1 2 3 4 5…

A: Observe from the given graph at point x=2 the graph attains it's maximum value. As we move from left…

Q: Fill in the blank/s :-The domain of h(x)=1/x+7/(x-3) consist of all real numbers except 0 and 3,…

A: Given that : The domain of h(x)=1/x+7/(x-3) consist of all real numbers except 0 and 3, represented…

Q: y = xV 100 – x² increasing decreasing

A: The function is given as , y=x100-x2 find open intervals on which the function is increasing or…

Q: the domain cant be x >3? its a union of intervals?????

A: fx=-3x+1 and gx=x-3

Q: Find all solutims in 15e interval T or 27) bele 2c05メー3c0sX = -

A: Given: Find all solutions in the interval [0, 2π). The equation is:…

Q: (a) Find a number x in the closed interval , such that the sum of the number and its reciprocal is…

A: A continuous function f on a closed interval a,b has both absolute maximum (largest ) and absolute…

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.