Let & be integrable on an interval [a,b]. It's true that: (a) there exists no E (a,b) such that f'(xo) (b-a) = f (b) -f(a) (b) is continuous in [a,b] (b) f (c) there exists CE [a,b] such that f(c) (b-a) = f(x)dn →f is continuous in [a,b] 1 (d) inf f(x) = (flarda ≤ sup f(x) 2E[a,b] b-a nt (a,bJ (e) there exists c € [a,b] such that f(c)(b-a) = 1 f(x)dx

Q: You have 6 math books and 6 history books to put on a shelf with five slots. In how many ways can…

A: If a particular event can be done in n different ways and an other event can be done in m different…

Q: A piggy bank was filled with only quarters ($0.25) and nickels ($0.05). If there was exactly 51…

A:

Q: There are a total of 134 foreign language students in a high school where they offer Spanish,…

A:

Q: 15. Prove: If a, b, c, a, and M are constants and M = 0 then ax²y" + bxy' + cy has a particular…

A: Let us solve above problems.

Q: Jesse has 4 friends and 5 coworkers. Each day in the year 2021, Jesse talked to some number of…

A:

Q: Which situation has a greater number of possibilities, one in which order matters or one in which…

A: When the order in which the elements are arranged matters, then Permutation is used. When the…

Q: If A = {1, 2, 3, 7} and B = {2, 4, 5, 7}, then the intersection of A and B is?

A: Given that if          A=1, 2, 3, 7and B=2, 4, 5, 7. then to find the intersection of A and B i.e.…

Q: If a and b are real numbers, the commutative property of addition states that a + b =

A: If a and b are real numbers, the commutative property of addition states that a+b =    Suppose two…

Q: A restaurant wants to prepare meals for 4 customers. In the restaurant there are only 2 kinds of…

A:

Q: The women’s shoe comes in sizes 5, 6, 7, 8, 9, and 10 and the men’s shoe comes in sizes 8, 9, 10,…

A:

Q: How do I enter the variables in SPSS?

A: Given data

Q: Elementary students often debate whether "rectangles are squares" or "squares are rectangles." -…

A:

Q: In a class of 35 students, 24 like to play cricket and 16 like to play football. Also, each student…

A: Let us denote: Cricket = C and Football= F Given that, n(C)= 24 , n(F)= 16 , n(C or F)=35  We have…

Q: Let 2 A = 3 and B = -3 Show that AB # BA.

A: Given, A=1232,  B=2-1-34

Q: solution. Thank you!

A: Out of 100 tables served,  Let dish A be denoted as A . Let dish B be denoted as B. Let dish C be…

Q: THree-way combinations are things like this : If [A is true and B is true ] OR [if B is true and C…

A: Given Statements:If A is true and B is true                  ORIf B is true and B is falseWe need to…

Q: At a race track you have the opportunity to buy a ticket that requires you to pick the first and…

A:

Q: A professor gives his students 6 essay questions to prepare for an exam. Only 2 of the questions…

A: The objective of this question is to find out the number of different exams that are possible given…

Q: How many uses TV only How many uses the Internet only How many use TV and Internet but not…

A:

Q: Is x and y independent?

A: Given ,the joint probability density function (pdf) of (X,Y) isf(x,y)= Marginal pdf of X is =…

Q: The cafeteria is serving french toast, cereal, and fruit. If a student may choose any two of those…

A:

Q: In a basic solution to an LP, all variables must take nonnegative values. True or False?

A: Given the statement  In a basic solution to an LP, all variables must take nonnegative values?

Q: AT LEAST one of each kind?

A:

Q: How did we find that variables x and y are independent?

A: Solution

Q: Suppose the second column of B is all zeros.  What can you say about the second column of AB?

A: If the second column of B is all Zeros, then the second column of AB will also be all Zeros.