Definition A function f(x) is continuous from the right at a number a if... And f(x) is continuous from the left at a if... Draw a sketch of a function, (a) f(x) is left continuous at x = 1 but not overall continuous at x = 1, (b) g(x) is right continuous at x = 1 but not overall continuous at x = 1. (a) f(x) (b) g(x) -2 -1 3+ 2+ 14 -1+ -2 -1 3 24 1 -14 2

Q: dx Evaluate f- +1) using the Cauchy principal value.

A:

Q: A. Two golfing venues offer bays that customers con reserve to play various golf ing games. The…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Q 1: Explain the differences between continuity and uniform continuity with the help of examples…

A: The standard definitions of continuity and uniform continuity are given as. (1) Continuity-A…

Q: How were algebraic structures discovered?

A: This transcend through history of some brilliant mathematical genius who could find pattern in…

Q: Describe Fundamental Theorem of Linear Algebra.

A: Given an m×n matrix A, the fundamental theorem of linear algebra is a collection of results relating…

Q: Exercise 2 Fill in the blank with "all", “no", or “some" to make the following statements true. Note…

A: a   For some functions, if f''x>0 on interval a,b         then f'x<0 on the interval a,b.…

Q: Which figures can be precisely defined by using only undefined terms?

A: The figures are  1. Circle 2. Parellel line 3. Line segment

Q: Single term algebraic expression is called?

A: Single term algebraic expression is called monomial.

Q: Can expand more about step 2?

A: Solution: Given information: Let X = “the number of dissatisfied customers”. n= 200 Sample size of…

Q: find all real such that 12x-11>x

A: The inequality can be calculated using absolute values. The absolute value function takes a positive…

Q: S(*-2:) (12x² -8) đx. (b) Integrate the expression of

A:

Q: > f, 1-1 and covering function X = 2f(x) +1 f lx]+1 since it is, how much is f(2)? A)3 e)를 c2 0)를…

A: Given f is 1-1 and covering function. Given x=2fx+1fx+1 We have to find the value of f−12. First…

Q: State why the function 2z2 - 3z + e-z is analytic everywhere.

A: See the answer below

Q: The product of positive numbers is always positive Is this true or false? Also provide a example for

A: We have to check

Q: (f) Evaluate f(-1) and f(1). Can you conclude that there is no zero on the interval (-1, 1)? Explain…

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Q: State and prove the two versions of fundamental theorem of calculus. Discuss the significance of…

A: Solution :-

Q: Explain why the Theorem of Pappus is useful.

A: To Explain: Why the Theorem of Pappus is useful.

Q: y = cosh2 6x + cosh 12x

A:

Q: Define the Quotient Rule?

A: Let both u and v are functions of x then the derivative of (u/v) is: This rule is called the…

Q: (- 00 ,a) is measurable.

A: Given a statement

Q: Consider the functions frx) 2- 6.

A:

Q: 2x

A: Given query is to find the derivative of the expression.