Describe the set S = { x : I } x - 3 I > 4} in terms of intervals.

Q: 1 Find the intervals of concavity y: x+3

A: Use the values where the second derivative is zero to set up intervals. Substitute a value into each…

Q: Find the intervals where h(x) = x4 + 24x3 - 168x2 is concave up and concave down.

A: The given functions are,

Q: (b) Evaluate da using Simpson's one third rule with 6 intervals.

A: The step size having 6 intervals is: h=b-an=3-06=12 So the points will be:…

Q: Choose the correct intervals of x and y such that (x+y) is greater than 8.

A:

Q: Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c…

A: f(x) = (x − 6)3 + 4 is a polynomial function. This is continuous for all values of x. So f(x) will…

Q: Evaluate (x by Simpson's rule breaking it into 6 intervals. 1 2+x2

A: THE EXPLANATION HAS BEEN GIVEN IN THE ATTACHED FILE.

Q: es for which the points P(x, y) are on the g y <0 2- -2 -1 -2 3+ Write your answer in interval…

A: Topic:- function

Q: Use the graph to identify the points on the interval [a, b] at which local and absolute extreme…

A:

Q: Select all the intervals where h is increasing. 2.5- 1.5+ 1+ 0.5+ -2 -1 -0.5- 2 3 -4 1 -1+ -1.5+ y=…

A: Given: To select: The intervals in which f is increasing.

Q: Describe the set as a union of finite or infinite intervals {x : Ix - 4 I &gt; 2}

A: x:x-4&gt;2

Q: The area bounded by the curve y 7x and the lines x = 9 and x = 42 above the x х — ахis - is_ O…

A:

Q: Choose the correct intervals of x and y such that (x+y)3 is greater than 8

A:

Q: Select all the intervals where h is increasing. 2.5+ 2+ 1.5+ 1+ 0.5+ -2 2 3 4 -0.5+ -1+ -1.5+ y =…

A: To find the interval in which h is increasing

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

A: Sets problem

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

A:

Q: Find the extreme values of f(r) = Vr(5 – x) in the interval [–1,3].

A: For extreme points we need to find critical points and check value of f(x) on boundary values of…

Q: What are the differences between the  Z- interval and T- interval?

A: T-interval is good for situations where the sample size is small that is less than 30 and population…

Q: The function is on the interval くx< (segment 1), on the interval くく |(segment 2), and

A:

Q: Write the set of points from -2 to 2 but excluding 0 and 2 as a union of intervals:

A: To Find: Set points from -2 to 2 excluding 0 &amp; 2 as union of intervals.

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: (b) : Verify that the Intermediate Value Theorem applies to the indicated interval and find the…

A: Given , f(x)= x²-x in the interval [1,5]

Q: Use interval notation to express the set of all numbers x, such that x is greater than -3 and less…

A:

Q: What is the width of the class interval of 1-3?

A: Width of the class interval

Q: Describe the set S = x :12 x − 3&gt; 4in terms of intervals

A: Given: S=x:12x-3&gt;4 To Describe: Given set in the intervals.

Q: Describe the set as a union of finite or infinite intervals { X : I 2x + 4 I &gt; 3}

A: Given set is x:2x+4&gt;3

Q: Use calculus to determine the interval(s) of concavity for

A: f''(x)=0 is Inflection points f''(x)&gt; or&lt;0 implies concavity  Given, f(x)=ln(1+x2) f'(x)=…

Q: In a class in which the final course grade depends entirely on the average of four equally weighted…

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 the intersection of the given intervals. [1,00) n (-0,5] [1,00) n (- ∞,5] = (Type your answer…

A:

Q: What is the difference between an open interval and a closed interval from a to b?

A:

Q: 4- 3 -1 -2- -3+ -5 4. 2. 3. 2.

A:

Q: (b) Using the mean value theorem, prove the inequality, (1+x)“ >1+ ax, where a >1 and x > 0.

A:

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

A:

Q: i) show that a closed interval is a closed set;

A: Note: According to bartleby we have to do only first question please upload the question separately.…

Q: Find all intervals where f is increasing.

A: Given,           f(x) =-x6x + 273

Q: A open interval is homeomorphic to either a closed interval or a half open interval.ture or false?

A:

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

A: Given: fx=x3.

Q: Prove the interval [0, infinity) is closed but not bounded

A: Consider the provided question, We have to prove that the interval [0, ∞) is closed but not bounded.…

Q: 3. Find the interval fconvergence of the Sevies : 1-3(x-4) + 9 x-4)-..

A:

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

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

Q: Determine the open intervals on which the graph is concave upward or concave downward. y = -x + 9x2…

A:

Q: Does the Mean Value Theorem apply to f(x) = |x – 7| on the interval [1, 9]? Explain.

A: No

Q: Determine the vaILus of y Valu that sotisfy the ineauality x*+ x-125. Write youir answer in interval…

A:

Q: What is the largest interval in the function f(x) = x² - 2x + 1? A. (-∞, 1) B. (-∞, 0) C. (1, ∞)…

A: Function -  parabolic function    Option A is the correct option.

Q: Is the number 0.5 above the interval (0.15,0.33)?

A: Given, Interval (0.15,0.33)

Q: What do the interval Mark's between 0 and 1 show us?

A:

Q: Determine where f(x): V4 - x2 is continuous. Express the answer in interval notation.

A:

Q: 2, the interval of differencing being unity. E Evaluate

A:

Q: Explain conditions for use of the t-procedures?

A: The conditions for the t-procedure are given below: If the sample size is larger (n≥30) or the…

Q: find the coHvergene interval 75 and rudius,test the end point intervat

A:

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”.