In this article Who Invented Calculus?The Two Divisions of CalculusWhat Is the Fundamental Theorem of Calculus?How to Find Critical Points in CalculusWhat Does Differentiable Mean in Calculus?What Is a Variable in Calculus?What Is Multivariable Calculus?Where to Use CalculusCan You Learn Calculus On...
So what exactly does it mean that when we move in the direction of the vector uu, the function is constant? I don't quite understand it in the context of this example. If I am in the (x,y) plane and I take any direction my function (this inverted bowl) cann...
(2011). What does it mean for a student to understand the first-year calculus? Perspectives of 24 experts. The Journal of Mathematical Behavior, 30, 131-148.SOFRONAS, K. S.; DE FRANCO, T. C.; VINSONHALER, C.; GORGIEVSKI, N; SCHROEDER, L.; HAMELIN, C. What does it mean for ...
Another place where "dx" is often seen is in integrals. Let's focus on definite integrals. What does "dx" mean in a definite integral? "dx" here is still an infinitesimal change in x. To see why it's there, we should think of the integral as a signed area and as the limit of ...
What does quadrature mean in mathematics? quadrature, in mathematics,the process of determining the area of a plane geometric figure by dividing it into a collection of shapes of known area(usually rectangles) and then finding the limit (as the divisions become ever finer) of the sum of these...
Are there different types of calculus and how do they differ? What's the difference between a postulate and a theorem? What is the difference between a postulate and a theorem? What is the difference between postulate and theorem? What does the word congruent me...
How do you decide whether the relation y = 13x + 1 defines a function? Given the function: f(x) = x^2 State the type of function given above. Given the function: f(x) = |x| State the type of function given above. What is a simple example of a limit in the real world?
How do you find horizontal asymptotes in calculus? Horizontal Asymptotes A function f(x) will have the horizontal asymptote y=L if either limx→∞f(x)=L or limx→−∞f(x)=L. Therefore, to find horizontal asymptotes, we simplyevaluate the limit of the function as it approaches infinity...
In other words, \lim\limits_{x\to a^-}f(x)=L and \lim\limits_{x\to a^+}f(x)=L is the same thing as \lim\limits_{x\to a}f(x)=L . If the left-hand and right-hand limits are not equal, then the two-sided limit does not exist. We'd write \lim\limits_{x \to a...
What Does a P-Value of 0.001 Mean? A p-value of 0.001 indicates that if the null hypothesis tested were indeed true, then there would be a one-in-1,000 chance of observing results at least as extreme. This leads the observer to reject the null hypothesis because either a highly rare ...