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What does calculus have in it?

Basic calculus is about the study of functions. The two main divisions of calculus are differentiation and integration. Differentiation has to do with finding the tangent line to a function at any given point on the function. Integration has to do with finding the area under (or above) a curve. Other topics covered in calculus include: Differential equations Approximations of functions (linear approximation, series, Taylor series) Function analysis (Intermediate Value Theorem, Mean Value Theorem)


How do you solve 5.4e0.06t using the fundamental theorem of calculus?

We need more information. Is there a limit or integral? The theorem states that the deivitive of an integral of a function is the function


Who started calculus?

there was no sure answer about who started calculus but it was Isaac Newton and Gottfried Wilhelm Leibniz who founded calculus because of their fundamental theorem of calculus.


What is the significance of the Weierstrass theorem in mathematical analysis?

The Weierstrass theorem is significant in mathematical analysis because it guarantees the existence of continuous functions that approximate any given function on a closed interval. This theorem is fundamental in understanding the behavior of functions and their approximation in calculus and analysis.


When was integral calculus invented?

Integral calculus was invented in the 17th century with the independent discovery of the fundamental theorem of calculus by Newton and Leibniz.


What Did Isaac Barrow Do?

He is responsible for the FTC, or fundamental theorem of calculus.


Prove fundamental theorem of integral calculus?

The link has the answer to your question. http://www.sosmath.com/calculus/integ/integ03/integ03.html


What is the calculus therom?

The fundamental theorem of calculus is F(b)-F(a) and this allows you to plug in the variables into the integral to find the are under a graph.


How many x intercepts can a quadratic function have?

For a quadratic function, there is one minimum/maximum (the proof requires calculus) and also it is either always convex or concave (prove is also calculus) it is continuous every where, hence, it can have a maximum of 2 roots. Graph it. If there is more than 2 roots, by Intermediate Value Theorem, it cannot be convex/concave everywhere. It will HAVE to have two intervals of increasing or decreasing. It can be easily proven that given any quadratic function f(x), if x = x0 is a minimum/maximum, and x=a != x0 is a root, then 2x0-a is also a root. It is still true that a = x0 as 2x0-x0=x0 implying it is the only root. But the concept of min/max requires Calculus to prove existence. So, this is Calculus, not algebra.


What is the significance of the intermediate axis theorem in the study of rotational motion and stability?

The intermediate axis theorem is important in the study of rotational motion and stability because it explains the behavior of an object rotating around its intermediate axis. This theorem helps predict how objects will rotate and maintain stability, especially in situations where the rotation is not around the principal axes. Understanding this theorem is crucial for analyzing the motion and stability of rotating objects in various scenarios.


What are the uses of differential calculus?

like catching speeders on a highway with the mean value theorem


What are the other areas of maths besides geometry that make use of the Pythagorean Theorem?

Trig., Calculus.