Explain why the two forms of Green’s Theorem are analogs of theFundamental Theorem of Calculus.

Q: what is implicit defferentiation in calculus in your own? brief answer only

A: To write about the implicit differentiation.

Q: f(x) = x* +16

A: Solution :-

Q: State the fundamental theorem of calculus.

A: To state: Calculus fundamental theorem

Q: What are the requirements for the continuity?

A:

Q: Can the Fundamental Theorem of Calculus be used to find

A: We have to check the validity of fundamental theorem

Q: State and prove the first fundamental the orem of calculus and its importance?

A:

Q: List of formula for Integral calculus

A:

Q: Describe the Extreme Value Theorem?

A: Extreme value theorem :                    If a function f(x) is continuous on a closed interval…

Q: Use the second Fundamental Theorem of Calculus to evaluate the following:

A: In this question, we use the second fundamental theorem of calculus. here we evaluate the two…

Q: 4. Use the Fundamental Theorem of Calculus to evaluate [(-3) -

A: The objective is to find the integral using fundamental theorm.

Q: Use the Second Fundamental Theorem of Calculus to find F '(x).

A:

Q: What is the Fundamental Theorem of Calculus? Why is it so important? Illustrate each part of the…

A: What is the Fundamental Theorem of Calculus? Why is it so important? Illustrate each part of the…

Q: Use the second fundamental theorem of calculus to find F'(x)

A:

Q: theorem if Yet, I think I

A: 1. Ax=h+p 2.∀x.Ax 1.Universal Generalization on 3. Ax→∀x Ax  1,2 Introduction.

Q: (√t-9) dt

A:

Q: 3x+2 + dt 1++5

A: Given  Fx=∫13x+2t1+t5dt

Q: Explain in your own words what the Intermediate Value Theorem says and why it seems plausible.

A: Intermediate value theorem states that if fx be a continuous function over a closed interval a,b…

Q: What does the Extreme Value Theorem say?

A: Give the statement of Extreme value theorem.

Q: Use the Second Fundametal Theorem of Calculas to find F'(x)

A: The second fundamental theorem of calculus is as follows.Let f be continuous on [a,b] then,

Q: When are the two versions of Fundamental Theorem of Calculus helpfu

A: The first version of the fundamental theorem of calculus involves a variable like x so this will…

Q: What does the Fundamental Theorem of Calculus state?

A: Fundamental Theorem of Calculus states that, If f is a continuous function over the interval [a, b]…

Q: State the first part of the Fundamental Theorem of Calculus (FTC).

A: The first part of fundamental theorem of calculus states that -

Q: 2. Use your knowledge of area to compute F(1). Explain your reasoning. Hint: Funda- mental Theorem…

A: As per honor code, we are entitled to solve only 1 question at a time so I am providing the same.…

Q: Fundamental

A: We have to explain the Fundamental theorem of calculus

Q: f should be split into two questions because it is unbounded. so can it be reviewed please?

A: As per our guideline, we are supposed to solve only first question. Kindly repost other questions as…

Q: Differentiate and simplify the following: y = sec (Tx)

A:

Q: you were asked to find critical points. What makes something a critical point within the study of…

A: The points at which the first derivative of the given function vanishes are called the critical…

Q: Define the term Calculus.

A: Calculus is the branch of mathematics that deals with the finding and properties of derivatives and…

Q: How was the birth calculus attained?

A: Calculus was borned, rather developed independently by Newton and Leibniz, this marked as one of the…

Q: Use relevant definition(s) and theorem(s) to prove the fundamental theorem of calculus part 1.

A:

Q: use the first fundamental theorem of calculus

A: To solve the following problem

Q: Define the term Continuity Conditions?

A: Given that: The term Continuity.

Q: Explain in your own words what the Fundamental Theorem of Calculus says. Be sure to address both…

A:

Q: Use part I of the Fundamental Theorem of Calculus to find the derivativ f(x) Vt3 + 2°dt f'(x) =…

A: Given query is to find the derivative.

Q: Discuss the two versions of the fundamental theorem of calculus

A: This the problem of Real Analysis, Theory of Reimann Integration.

Q: Show that the square of the length of subtangent at any point on the curve by2=(x+a)2 (b is not…

A: By using formula of lenght of sub tangent and sub-normal

Q: Is the distance between any two different real numbersalways positive?

A: State whether the distance between any two different real numbersalways positive or not

Q: Et of f' and sketch a poss

A: Derivative and graph: f(x)=2x3-9x2+1The sign of f is+  -   +

Q: Explain the Intermediate Value Theorem using words and pictures.

A: Intermediate value theorem is an important theorem which tells us about the continuity of a function…

Q: Explain Rolle’s Theorem with a sketch.

A: According to Rolle's theorem: If a function is continuous on a interval a,b Function is…

Q: <plain how to use the evaluation part of the Fundamental Theorem of Calculus to mpute ſ, (3r² – 5x +…

A: Use fundamental theorem of calculus

Q: - the use write down Calculus in econamicd.

A: Use of Calculus in economics

Q: What are the Continuity Conditions?

A: When a graph has no holes, no asymptotes or the graphs that does not have breaks are called…

Q: Check whether z/z+3 is analytic or not?

A: Let     f(7)  = 77+3Now, Let f(7) = φ(7)ψ(7)where ϕ(7) ≥ 7  and ψ (7) = 7+3Here   ψ(7) has zero at 7…

Q: Explain the Intermediate Value Theorem?

A: Theorem statement: According to the intermediate value theorem, If f is a continuous function which…

Q: How does the history of calculus change the way of view/think of a person about calculus before?

A: Before answering the given question, let's talk about what is calculus? Calculus is the study of how…

Q: write down the fundamental theorem of Calculus

A: Our Aim is to state the Fundamental Theorem of Calculus.

Q: What are the important types of functions frequently encountered in calculus? Give an example of…

A: Some of the important functions encountered in calculus with examples are as follows.

Q: Discuss the role of the Fundamental Theorem of Calculus in the proof of Green’s Theorem

A: To discuss the role of Fundamental theorem of calculus in the proof of Green's Theorem. Fundamental…