How can we use the general definition to prove the theorems?

Q: f(x) = x* +16

A: Solution :-

Q: State the fundamental theorem of calculus.

A: To state: Calculus fundamental theorem

Q: Show that f(2) =

A: We will show that derivative does not exist using definition. Then we will use geometry.  Calculate…

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

A: We have to check the validity of fundamental theorem

Q: Use algebraic manipulation to prove that (X +Y)(X + Y) = X

A: Given: X+YX+Y=X Now, first we shall simplify left hand side of equation.

Q: Just need work shown. :)

A: In statistics, various types of variables are studied. There are two types of variables that are…

Q: complete

A: Please refer to the image below

Q: How is Green’s Theorem similar to the Fundamental Theorem of Calculus ?

A: How is Green’s Theorem similar to the Fundamental Theorem of Calculus ?

Q: Why do we need to

A: To determine: Why do we need to study basic calculus?

Q: Show that f(x)= -1/(1+x^2) is pseudoconvex please check also the attached picture

A: Let f:S→ℝ be a differentiable function and S be a non-empty convex set in ℝn, then f is pseudoconvex…

Q: pouable DE O Solue the erualibn 2y du (5

A:

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

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

Q: attached

A: Please refer to the image below

Q: Proves/1=L2

A: The given figure is

Q: What is Taylor's Theorem?

A: Taylor's theorem gives an approximation of a K-times differentiable function around a given point by…

Q: What mathematical background is needed to understand calculus?

A: 1. Algebra  2.Functions

Q: just need work shown. :)

A:

Q: (√t-9) dt

A:

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

A: Given  Fx=∫13x+2t1+t5dt

Q: Can you apply Rolle's Theorem to f(x)=x^3?    Please explain.

A:

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: proof.

A: Under given problem all Xi are iid

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: can someone please answer this right? I really need the correct answer and show all the work,…

A:

Q: Explain how the Intermediate Value Theorem (IVT) can be used

A: Intermediate value theorem is stated as follows. Consider an interval I=a,b of real numbers ℝ and a…

Q: Convergence can be achieved faster in Newton-Raphson Method. O True O False compared to the Secant

A: Convergence can be achieved faster in Newton Raphson compared to secant? True or False.

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: yes, I got it right! Thank you for such clarity on this!

A: Your welcome.

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: What does the Squeeze Theorem say?

A: In the calculus theorem are used to simplify the expression given or to simplify the complex…

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

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Q: explain the pythagorean theorem, its nature and application.

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Q: What two positive real numbers whose product is 19 have the smallest possible​ sum?

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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: Can someone explain tangent for more as well as limits. *all of this within calculus *

A: Please see the below picture for detailed solution.

Q: Not sure why my answer of undefined is incorrect.

A:

Q: I need help with this question for Pre-Calculus.

A: The objective is to graph one Period of the function.

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: I think you use fundamental theorem of calculus.

A:

Q: Hello, How can I integrate Z2  sqrt (9+Z2). This is not a graded assignment please.

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Q: Prouo proof

A: Given that,                      An↓ We have to show that,                                  PAnB ↓…

Q: write down the fundamental theorem of Calculus

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

Q: Find the root between [-1,0] where f (x) = (x+2)³ +2x– 5 with error epsilon=0.1 by using False…

A: The false position method uses the formula below to perform the iterations.…

Q: ne integral. 11 3 √x + 5dx = Please enter your answer two digits format(For xample: 3.14)]

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.