New: calculusAll contenthive-129948hive-196917krhive-180932zzanhive-150122photographyhive-185836hive-183959hive-188619steemhive-144064hive-183397hive-166405hive-145157hive-101145uncommonlabhive-193637hive-184714hive-109690hive-180106hive-139150lifehive-103599hive-141434TrendingNewHotLikerscarlos84 (72)inĀ hive-109160Ā ā¢Ā 11 days agoGraphical, numerical and analytical analysis of the limit of a functionIn exercise 63 of section I.3 of Larson's Calculus with Analytic Geometry Volume I on page 68 on the topic of limits and their properties, use a software or program to graph the function andā¦carlos84 (72)inĀ hive-109160Ā ā¢Ā 12 days agoClassifications and combinations of functionsImage source The modern notion we have today of what a function is is due to the efforts of many mathematicians of the 17th and 18th centuries. One example is Leonhard Euler, to whom we owe theā¦carlos84 (72)inĀ hive-109160Ā ā¢Ā 13 days agoDomain and path of a functionThe domain of a function can be written either explicitly or implicitly through the equation used to define the function. The implicit domain is the set of all real numbers for which the equation isā¦carlos84 (72)inĀ hive-109160Ā ā¢Ā 14 days agoInterpretation of slope as ratios and rates or rates of changeThe slope of a line can be interpreted either as a ratio or proportion, or as a rate, rhythm or speed of change. Considering that if the axes x and y have the same unit of measurementā¦carlos84 (72)inĀ hive-109160Ā ā¢Ā 16 days agoFunctions and function notationThe concept of function is the fundamental basis in infinitesimal calculus, that is why I want to explain the concept of function, function notations and other concepts such as domain and range of aā¦carlos84 (72)inĀ hive-109160Ā ā¢Ā 19 days agoSymmetries of the gratification of a real functionKnowing the symmetry of a graph has a very important utility, since it helps us at the time of graphing, the explanation that this has is that by knowing the symmetry we do not need to know so manyā¦carlos84 (72)inĀ hive-109160Ā ā¢Ā 23 days agoPreparation for calculus (Chapter P.I). Exercise 7: Elaborate the graph of the equation by plotting points.Hello friends and followers of STEM content, this time I want to address a topic that is preparation for calculus, as is the graph of an equation by plotting points. To do this we are going toā¦carlos84 (72)inĀ hive-109160Ā ā¢Ā 25 days agoCan any criterion be applied to calculate the convergence or divergence of an infinite series?A series is a succession, for this case are series that tend to infinity, so it is very conducive to know if these series converge or diverge. For it we are going to apply a criterion calledā¦carlos84 (72)inĀ hive-109160Ā ā¢Ā 27 days agoImproper integrals with infinite limits of integration: Continuous intervalsWe call an improper integral a definite integral whose limits of integration are open intervals that go from minus infinity to infinity. Definition of improper integrals with infinite limits ofā¦carlos84 (72)inĀ hive-109160Ā ā¢Ā 29 days agoIndeterminate forms and the L'HĆ“pital ruleIn mathematics there are arithmetic expressions that are incoherent and that do not produce any logical result, these forms of expression are considered as indeterminate forms, an example ofā¦carlos84 (72)inĀ hive-109160Ā ā¢Ā last monthMethods of integration: Simple or partial fractionsThis method aims to solve an integral in which the integrand is a rational function to decompose the fraction into simple or partial fractions, after we can decompose the radicand into simplerā¦carlos84 (72)inĀ hive-109160Ā ā¢Ā last monthMethod of integration: Trigonometric substitutionThe trigonometric substitution method for solving an integral is a method in which we can solve integrals containing radicals of the form: The objective to be achieved with the application ofā¦carlos84 (72)inĀ hive-109160Ā ā¢Ā last monthIntegration techniques: Integral by parts (verify the result with derivative)The integration by parts is a very important integration technique within the integration techniques, the importance of this technique lies in the fact that it can be applied to a great variety ofā¦carlos84 (72)inĀ hive-109160Ā ā¢Ā last monthCalculation of the area with the natural logarithm ruleFind the area of the region bounded by the graph of: As a solution, the first thing to consider is the graph made with GeoGebra software: To calculate the area we must consider theā¦carlos84 (72)inĀ hive-109160Ā ā¢Ā last monthProposed exercises from chapter 8.1 of Larson and Hostetler's calculus book. Volume I: Selecting the correct antiderivativeIn the proposed exercises of the book of calculus with analytical geometry by Larson and Hostetler in chapter 8 whose theme is: Integration techniques, L'hopital's rule and improper integrals, thereā¦carlos84 (72)inĀ hive-109160Ā ā¢Ā last monthApplication of the integral: Pressure and force of a fluidIs it important for us to know what is the pressure of a fluid? Suppose we have no idea what it is, however when we dive into a pool we realize that as we dive deeper and deeper into the pool theā¦carlos84 (72)inĀ hive-109160Ā ā¢Ā last monthApplication of the integral: Momentum and center of mass of a flat plateA flat sheet can be considered any flat geometric figure, that is to say that it lacks thickness, this means that the flat sheet will have area and not volume. This makes us think that if densityā¦carlos84 (72)inĀ hive-109160Ā ā¢Ā 2 months agoApplication of the integral: Work performed by a variable force (Boyle's law for ideal gas)Image source When we study physics it is very common to see a set of equations that follow the model to calculate work but when the force is constant, however when the force is already variableā¦carlos84 (72)inĀ hive-109160Ā ā¢Ā 2 months agoCalculation of the area of a surface of revolutionPreviously we have already studied the solids in revolution, that is to say in previous post I explained one of the applications that the integral has to calculate the volume of a solid inā¦carlos84 (72)inĀ hive-109160Ā ā¢Ā 2 months agoCalculation of arc lengthAnother application of the integral is to calculate the length of a curve segment, taking into account that an arc is a curve segment, as shown in the following figure: Commonly we haveā¦
