21.L. Let f be in Class C' on a neighborhood of a point c in RP and with values in Rr. If Df(c) is one-one and has range equal to Rº, then there exists a positive number 8 such that if x – c| < 3, then Df(x) is one-one and has range equal to Rr.

Q: 10. Solve the factorial. Use a calculator if necessary. O 6 30 24 15 120

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Q: 2 Gire ample the which the derintin exist for right hand devivtive to kept haud detivalin?

A: A function f(x) is said to be differentiable at a point 'c' if both the left hand derivative(L.H.D.)…

Q: How may bit strings with length 10 that has exactly three 1s and end with 0?

A: Combination: The number of ways to choose or select the items from the whole. The formula for…

Q: Let the domain of x be the set of real numbers. Then Vx, (–+1 € R) is O a true statement O a false…

A: Let the domain of x be the set of real numbers.

Q: Let a, b, x E Z be given. Show that: ax + 6 even (x odd Vb ev en )

A:

Q: 3.) (Hint: 8 Steps) Given: 00 YOIYX Conclusion: A0YX = AOZX Statements Reasons

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Q: (A-B)nC= A – (BŪC) as above None of these (BUC) – A A- (CUB) as above as above:

A: A-B∩CUse venn diagram to find the answer,

Q: Show that the set of irrational numbers is uncountable. (Hint: Assume it is and write R = QU{…

A:

Q: Let A = {1/n - 3: nEN}. The set of cluster points of A is the set O a. (-3) O b. A O c. none of the…

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Q: b. Determine whether the statement is true or false and justify your answer. Determine which of the…

A:

Q: 4 30 2 <1 = <2 = <3 =. <4 =

A: I think this is rhombus. On this basis, I am solving this question.

Q: 1. Get examples of: o a theorem with a direct proof, and o a theorem with an indirect proof. The…

A:

Q: Prove: For all integers n, if n is odd then n is odd.

A: Given below the detailed solution

Q: 23 f(t) = (t, t Between = 0 and = 1, the point traverses certain path. The length of that path is

A:

Q: For the following you must prore that all numbers n2d0 Can be repeesen ted For non negahive i and j…

A: To prove: All numbers n≥20 can be represented as n=4·i+5·j for non-negative i and j by strong…

Q: write a paragraph proof using any appropriate technique. Use complete sentences and identify which…

A: According to the given information, it is required to prove that for all real numbers a and b if a…

Q: Prove that if a and b are integers and a² +6² is even, then a+b is even. [Big Hint: try a…

A: We need to prove following statement.(1)If a and b are integers and a2+b2 is even, then a+b is…

Q: Find the area of each circle, given the radius r or the diameter d. Leave your answer in tems of t.

A: See the detailed solution below.

Q: For set A, B and C,(A U C)n[(A n B)U(C n B)]=A n B. Cite a property from Theorem 6.2.2 for every…

A:

Q: 15.Identify the type of answer that results from each operation. If the operation is not possible,…

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Q: Given that 22 = Z4, prove that Zl= 23. 1/2 3 st at least three facts you may use to complete this…

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Q: n(n+1) 1. pdRecall the triangle numbers, 1, 3, 6, 10...where the nth triangle number tn Show that if…

A: Let kth triangle number be tk=k(k+1)2Now, multiplying tk by 9 and then adding 1 to it, we get…

Q: 1. Find A and B knowing the following: a) ¿ª²ª)¯¹ = [6 4 b) 4(B) 20 - - 151 15] 0 1 OLLO 4 0 0 1.

A: We have to find  and  for the given matrices.

Q: Prove (kindly provide reason/s) that for any real numbers m and n, (- m ) + ( - n) = - ( m + n)

A: To prove: -m+-n=-m+n Where m and n are real numbers.

Q: The area of Square 2 is 110 units 2. The area of Square 3 is 115 units?. What is the length of the…

A: We are going to use the concepts of area of a square and Pythagoras theorem to solve the given…

Q: Proof the statement: e) If x and y are integers such that x³ (y + 5) is odd, then x is odd and y is…

A: It is proved by using method of contradiction.

Q: (I am sorry I did not know the correct kind of math to put for this) A shoebox is 6 inches by 12…

A: We are asked to find the volume of the box.

Q: Exercises Complete each proof. 2. Given: 4x + 8 = x + 2 Prove: x = -2 Proof: Statements 4x + 6 1.…

A: Let's find.

Q: Determine if the following statements are true or false. Prove 2. those that are true and disprove…

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Q: 6. Prove if a² + b² then a b.

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Q: Explicit formula for an arithmetic formula an = a + (n - 1)d)

A: Explicit formula for an arithmetic formula is       an = a1 + (n-1)d  Where an is the value of the…

Q: 381/variants/1558083/take/6/ Use the Pythagorean theorem to find the height of the pyramid. a²+b²=c²…

A: 1. Perimeter of the base (P)The base is a square with each side measuring 5.5 cm. The perimeter P of…

Q: I need help on the steps to find the answer and what u did and pls don't write in cursive i get so…

A: Use the diagram below to determine which has the greatest volume, the cone or the cylinder

Q: -1 3 2. 2 48

A: The given expression is the rational expression, hence simplification helps to find the required…

Q: b. Convert the hexadecimal number 9E. A16 to decimal.

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.