Log In Sign Up Subjects Math Calculus Continuous functions What value should be assigned to a to make the function g(x) = \begin{cases}x^2 - 1 if x less...Question:What value should be assigned to a to make the...
What does it mean to say thatfis continuous at(a,b)? Continuity of a function: This problem involves understanding the conditions for which a function is considered to be continuous. A functionf(x)is continuous at a pointcin the domain of the function(a,b)if and only if, ...
Calculus is also referred to as infinitesimal calculus or “the calculus of infinitesimals”. Infinitesimal numbers are quantities that have a value nearly equal to zero, but not exactly zero. Generally, classical calculus is the study of continuous changes of functions. What is Calculus? Calculus ...
曲线下面积的积分 114-What is Integration Finding the Area Under a Curve 08:18 积分基本定理:重新定义积分 115-The Fundamental Theorem of Calculus Redefining Integration 09:38 积分的性质和定积分的计算 116-Properties of Integrals and Evaluating Definite Integrals 09:48 计算不定积分 117-Evaluating...
Your displacement function f(x) is then a continuous function that varies over time. Suppose now that you wanted to know your speed at time x=10 seconds. That is a calculus question since you are looking for a rate of change at one particular time. How could you do this? Well, you ...
Calculusis the mathematical study of change. The effectiveness of calculus to solve a complicated but continuous problem lies in its ability to slice the problem into infinitely simpler parts, solve them separately, and subsequently rebuild them into the original whole. This strategy can be applied ...
Math Calculus Continuous functions At what points is the function {eq}f(x, y) = \frac{x - y}{2x^{2} + x - 6} {/eq} continuous? Question: At what points is the function {eq}f(x, y) = \frac{x - y}{2x^{2} + x - 6} {/eq} continuous? Continuous...
There is a functor π1:Top→Groupπ1:Top→Group that associates to every topological space* XX a group π1(X)π1(X), called the fundamental group of XX, and which sends every continuous function Xf⟶YX⟶fY to a group homomorphism π1(X)π1(f)⟶π1(Y)π1(X)⟶π1(f)π1...
The solutions to this polynomial are x = 1 and x = -2. Find zeros and state multiplicities and describe multiplicities. The solutions to this polynomial are x = 1 and x = -2. The zero at x =1 has a multiplicity of 1. The graph will cross the x-axis at 1. The zero at x = ...
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