For each of the following sets, tell if it an infinite set, finite set or an empty set. v 1. {x E R: 7 7} ? v 4. {x EN: 7 < x < -7} 5. (x ER : x> 7} ? v 6. {x EN: x < 7}

Q: Find the values of m and b that make f(x) differentiable everywhere. f(x) =    x2 if x ≤ 7 mx + b…

A: Given: f(x)=x2x≤7mx+bx&gt;7&amp; f(x) is differentiable. To determine: Value of m &amp; b

Q: 4. Show that for all formulas p, ý, 0 € S(P), (a) (y = ) = ¬(e^ ¬b).

A:

Q: Match each interval on the left with its set builder description on the right. O Instructions (0, 1)…

A:

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

A:

Q: 2. The adjacent is 3, the opposite is 4 and the hypotenuse is 5 as labelled in relation to ZA. Which…

A: Given,           The adjacent is 3, the opposite is 4 and the hypotenuse is 5.

Q: (2) If h is defined by h(x) = |x| +2, (a) What is the range of h if the domain of h is the interval…

A:

Q: Let R, - {r E R|1 5 x3 x < 1 for each positive integer i. (Enter your answers using interval…

A:

Q: Which of the following sets are equal? A = {0, 1, 2} B = {x E R|-1<x< 3} C = {xE R|-1<x<3} D = {xE…

A: Given:

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: 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  --&gt; i) Therefore, (D2+ 4D +5)y =0 is homogenous The auxiliary…

Q: For each of the following sets, determine whether 2 is an element of that set. a) {x € R | x is an…

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: Match the following set with the correct graph below. {x\x -10 -8 -6 -4 -2 4 6. 8 10 -8 -6 -4 -2 0 2…

A: Consider the given set {x|x≤-5}∪{x|x≤2}. The union of two sets is the set which contains the…

Q: Show that, for all positive values of x and y, etty > e? ху

A:

Q: For each of the following sets, determine whether 2 is an element of that set. a) x €R | x is an…

A: a) {x∈R| x is an integer greater than 1 }

Q: Which of the following sets are equal? (Select all that apply.) O A- (3, 4, 5) O 8- (x R| 2 s x « 6}…

A:

Q: If h is defined by h(x) = lxl + 2 a) what is the range of h if the domain of h is yhe interval…

A:

Q: snip

A: (a) A={n:n=2k,k∈Z}(b) B={m/n:n∈Z,n≠0}(c) C={x∈R:4x2-4x-3=0}(d) D={x∈Z:4x2-4x-3=0}

Q: 1. For the following, each relation R is defined on the set A. Determine if R is a tree, if it is,…

A:

Q: The employees of a subsidiary that does asbestos cleanup are being tested for indications of…

A:

Q: Indicate whether the two sets are equal. D = {x: x is a natural number less than 3}, E = {1, 2, 3}

A:

Q: Which of the following sets are equal? A = {x e R|-2sxs2} B = {x e Z|-2sx< 2} C= {x e Z*|-2 < xS 2}…

A: So set C and D are equal.

Q: 3. Use the given graph of f(x) = vx to find a number 8 such that IVx - 20.4 x48 then if yA y Vr 2.4…

A: Consider the second inequality.

Q: If h(x)= |x-4|+1 and k(x)=x2+3, which intervals contain a value of x for h(x)=k(x)?

A: Solve equation

Q: 45. Let f(x) = e¯* and T3(x) = 1- x + Use the error bound to show that for all x > 0, x4 If (x) –…

A:

Q: Since X~N(0,1) and Y = e^x , E [Y] = ?, Var

A: Given that X~N(0,1) Y=ex Consider, E(Y)=E(ex)        =∫exf(x)dx       =∫01ex12πe-12x-012dx…

Q: Which of the following sets are equal?A = { 0 , 1 , 2 } B = { x ∈ R | − 1 ≤ x &lt; 3 } C = { x ∈ R |…

A:

Q: This month some of their patients will lose at least 7 lb. Last month some of their patients lost at…

A: Solution

Q: You are given the following values of moments : µ2 = 43. 353, µ3 = -9.774, µ4 = 5508. 567 %3D Find…

A:

Q: 1 Evaluate the limits 1im - x+2 X* 1/4 1/2

A:

Q: given the information below for all x near x=1, conclude from which of the following by showing work…

A:

Q: 5) Compute the number of ordered pairs (x,y) with x>0 and y>0 that satisfy x+(y)=5.3 and y+(x)=5.7

A: In this question we have to find the number of ordered pairs (x,y).

Q: Match these values of r with the accompanying​ scatterplots:: 0.371, 0.997. -0.71, -0.997, 0.71…

A: Given: r=0.371, 0.997, -0.71, -0.997, 0.71 We are asked to match these values with the accompanying…

Q: For the following problems, assume that the domain is the set of integers. 10. Prove that if m is an…

A:

Q: To say that |r – 7| < 2 is the same as saying æ is in the closed interval [A, B] where A is: and…

A: Explanation of the answer is as follows

Q: Suppose s(t) = 8t - 2t² on the interval [0, 4]. What is the distance traveled on [0, 4]? 00 04 08 O…

A:

Q: Choose all of the correct answers for each of the following: Consider the relationship R between two…

A: A] For one to one relationship both Entity E1 and E2 have direct relation. You can make any table…

Q: without making use of any absolute value symbol. ) Give the set S of all possible values of y if v =…

A: Please view next step for details

Q: 2. Classify each of the following sets as open, closed, neither, or both. Then, find the closure. a)…

A: classify the given sets are open and closed.

Q: For each of the following relations, give the domain and range, and indicate which are…

A: Given, relation is 3, 5, 5, 7, 7, 3. Domain is the set of x values for which function is defined. In…

Q: out of it. Let A {2, 3, 4} and B {2,6, 8} and let Rbe the "divides" relation from A to B: %3D CHECK…

A: We will first find A×B then R and then we will draw  the arrow diagram for R.

Q: each part below, indicate (by making suitable arguments) whether the following sets are open…

A:

Q: Determine the domain and range of each of the following relations. Use listing method for items 1…

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

Q: 1. Write the interval of points that are less than -4: 2. Write the set of points from -5 to 2 but…

A: To find-  Write the interval of points that are less than -4. Write the set of points from -5 to 2…

Q: Answer all the following questions 1.Find the domain of ſ(x) x-4

A:

Q: Let S be the set defined as follows: S := {(x, y) | 2x + 3y ≥ 12} On the graph provided below,…

A:

Q: 1. Let x, y € Z. For the following, fill in the blank to make a true statement about parities. No…

A: (a)  odd (b) even

Q: A translation was given by the rule: (x. )-(x-4. 7A point mapped with this rule would have an image…

A: We have to find the rule

Q: For each of the following sets, determine whether 2 is an element of that set. a) x € R | x is an…

A: