How was the birth calculus attained?

Q: State the fundamental theorem of calculus.

A: To state: Calculus fundamental theorem

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: 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: What is meant by Modulus function in reference to algebra?

A: A modulus function gives the absolute value of a number or variable.  This means the output will be…

Q: What is the importance of the flow of Basic Calculus in our daily lives?

A: Basic Calculus

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: Did Charles Babbage used calculus (integration) in inventing computer?

A: Yes

Q: What does it mean when we say that a formula models real-world phenomena?

A:

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: Which forest's population is growing at a faster rate?

A: A(t)=115(1.025)t B(t)=82(1.029)t

Q: Find f(-3). -2 -4 www.analyzemath.com 1 O 2 Оз -1

A:

Q: 4 yd

A:

Q: (√t-9) dt

A:

Q: Write the formula of partial derivation with respect to x?

A: Partial derivatives  Let  f(x,y) is a function given , in which f(x,y) partially depends on x and y,…

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

A: Given  Fx=∫13x+2t1+t5dt

Q: Let f(2) = y variable defin exist?

A: The given function fz=-y-2xy+i-x+x2-y2+z2 Here, z=x+iy. Therefore,…

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

A:

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

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

Q: Calculate facterial funchion n -X x e %3D

A: Using integration by parts solve the integral:  ∫0∞xne-xdx=∫xne-xdx0∞…

Q: Find the product of approximate numbers x, = 2.37 and x, = 20.3546 all of whose digits are valid.…

A: Here, we need to find the product of approximate numbers x1=2.37 and x2=20.3546 all of whose digits…

Q: of

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: 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: How is integral calculus related to differential calculus?

A: Solution

Q: . Find the product of approximate numbers x, = 2.35 and x, = 20.3546 all of whose digits are valid.…

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

A: Query- How can we use the general definition to prove the theorems. Answer- A theorem is a statement…

Q: he divergence of the vect-

A:

Q: . What is the PDF fx,(x) of X1?

A: Given that X1,X2, and X3 are iid continuous uniform random variables. Then common pdf is given by…

Q: EER(F}}

A: Introduction - F-test of H0:β1=0consider the hypothesis test H0:β1=0Hα:β1≠0Note that Yi^=b0+b1Xiand…

Q: How does accelerated formulas via Richardson extrapolation work (How are they implemented)?

A: The implementation of accelerated formulas via Richardson extrapolation is discussed below.

Q: use the first fundamental theorem of calculus

A: To solve the following problem

Q: Eliminate The Abritrary Constant

A:

Q: Show that div (r x a) = 0

A:

Q: the fuel efficiency for a certain mid size car is given by E(v)=-0.018v^2 + 1.476v+ 3.4 where E(v)…

A: The fuel efficiency for a certain mid size car is given by  Ev=-0.018v2+1.476v+3.4 The given…

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

A:

Q: A car rental agency rents 200 cars per day at a rate $30 per day. For each $1 increase in rate 5…

A: Given problem is : A car rental agency rents 200 cars per day at a rate $30 per day. For each $1…

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

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

Q: What is differential calculus? And what is the best example to understand it?

A: Differential calculus: Differential calculus is subfield of calculus. In the calculus it has two…

Q: Explain the Intermediate Value Theorem?

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

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: low fast is

A: