mathematics department 2003/2004
... 7. integration of rational functions 8. reduction formula 9. Improper integral 10. application to the finding of - plane area - arc length - volume of solids of revolution - area of surface of revolution 11. Integral mean-value theorem; its application ...
... 7. integration of rational functions 8. reduction formula 9. Improper integral 10. application to the finding of - plane area - arc length - volume of solids of revolution - area of surface of revolution 11. Integral mean-value theorem; its application ...
Short History of Calculus - Nipissing University Word
... Together with analytic geometry this made possible to find tangents, maxima and minima of all algebraic curves p (x,y) = 0 Newton’s calculus of infinite series (1660s) allowed for differentiation and integration of all functions expressible as power series Culmination of 17th century calculus: ...
... Together with analytic geometry this made possible to find tangents, maxima and minima of all algebraic curves p (x,y) = 0 Newton’s calculus of infinite series (1660s) allowed for differentiation and integration of all functions expressible as power series Culmination of 17th century calculus: ...
Calculus Fall 2010 Lesson 26 _Optimization problems_
... Aim: How do we solve optimization problems? Objectives: 1) Students will be able to solve problems where they have to maximize or minimize a value. HW# 26: 1) The sum of one number and two times a second number is 24. What numbers should be selected so that their product is as large as possible? 2) ...
... Aim: How do we solve optimization problems? Objectives: 1) Students will be able to solve problems where they have to maximize or minimize a value. HW# 26: 1) The sum of one number and two times a second number is 24. What numbers should be selected so that their product is as large as possible? 2) ...
03-05-042_Implicit_Differentiation
... (b) At how many points does this curve have horizontal tangent lines? Find the x-coordinates of these points. From the graph, it seems that there are 6 or 7 points where the tangent lines are horizontal. If the top of the “wagon” is convex, then there are 6; if it is concave then there are 7. Again, ...
... (b) At how many points does this curve have horizontal tangent lines? Find the x-coordinates of these points. From the graph, it seems that there are 6 or 7 points where the tangent lines are horizontal. If the top of the “wagon” is convex, then there are 6; if it is concave then there are 7. Again, ...
Unit 4 Review Sheet - Little Miami Schools
... 20 gram sample after t days is given by the formula A = 20(.5) ...
... 20 gram sample after t days is given by the formula A = 20(.5) ...
4.2 Practice
... Use analytic methods to find those values of x for which the given function is increasing and those values of x for which it is decreasing. 6) f(x) = 7x2 - 5x Find all possible functions with the given derivative. 7) f'(x) = 5e5x Find the function with the given derivative whose graph passes through ...
... Use analytic methods to find those values of x for which the given function is increasing and those values of x for which it is decreasing. 6) f(x) = 7x2 - 5x Find all possible functions with the given derivative. 7) f'(x) = 5e5x Find the function with the given derivative whose graph passes through ...
Differential and Integral Calculus
... the history of integration along this flow reveals that integration was handled as “inverse of differentiation” for calculational purposes rather than as a concept based on subdivision approach. As mathematics began to deal with more abstract objects, problems that could not be solved by intuition b ...
... the history of integration along this flow reveals that integration was handled as “inverse of differentiation” for calculational purposes rather than as a concept based on subdivision approach. As mathematics began to deal with more abstract objects, problems that could not be solved by intuition b ...
The Mean Value Theorem (4.2)
... Actually, if we assume that the position function (distance vs. time) is continuous and differentiable at all times, then there must have been at least one time during the trip when Paula was traveling at 143 km/hour. Why? ...
... Actually, if we assume that the position function (distance vs. time) is continuous and differentiable at all times, then there must have been at least one time during the trip when Paula was traveling at 143 km/hour. Why? ...
10 2 x x 12 18 x y xy log 8
... 7. Using EITHER the slope/intercept (y = mx + b) or the point slope y − y1 = m( x − x1 )) form of a line, write an equation for the lines described: SHOW ALL WORK a) with slope -2, containing the point (3, 4) b) containing the points (1, -3) and (-5, 2) c) with slope 0, containing the point (4, 2) d ...
... 7. Using EITHER the slope/intercept (y = mx + b) or the point slope y − y1 = m( x − x1 )) form of a line, write an equation for the lines described: SHOW ALL WORK a) with slope -2, containing the point (3, 4) b) containing the points (1, -3) and (-5, 2) c) with slope 0, containing the point (4, 2) d ...
B1 Math Handout
... of functions. Below a brief review of these concepts. In statistics we apply these techniques when estimating parameters of distributions. In Ordinary Least Squares (OLS) we want to find minimum, and in Maximum Likelihood (ML) we want to find maximum. ...
... of functions. Below a brief review of these concepts. In statistics we apply these techniques when estimating parameters of distributions. In Ordinary Least Squares (OLS) we want to find minimum, and in Maximum Likelihood (ML) we want to find maximum. ...
Keep in mind that high school TMSCA is
... and algebra is the study of operations and their application to solving equations. It has two major branches, differential calculus (concerning rates of change and slopes of curves), and integral calculus (concerning accumulation of quantities and the areas under curves); these two branches are rela ...
... and algebra is the study of operations and their application to solving equations. It has two major branches, differential calculus (concerning rates of change and slopes of curves), and integral calculus (concerning accumulation of quantities and the areas under curves); these two branches are rela ...
This packet contains the topics that you have learned in your
... Summer work for Trigonometry and Pre- Calculus ...
... Summer work for Trigonometry and Pre- Calculus ...
MTH 150 - Keith Nabb
... should be able to do BEFORE entering Calculus. It is important to understand that these problems do not serve as the only problems that must be mastered. Rather, it should give you an idea of the types of things you should have internalized at the completion of a solid Algebra and Trigonometry seque ...
... should be able to do BEFORE entering Calculus. It is important to understand that these problems do not serve as the only problems that must be mastered. Rather, it should give you an idea of the types of things you should have internalized at the completion of a solid Algebra and Trigonometry seque ...
without a calculator?
... But knowing that ex exists and must equal some real number is just half the battle. How does one proceed to actually compute ex for any real number? To compute ex, one uses a Taylor series expansion for ex. Also, our original question asked about computing powers of 3, namely 3√2. Do the results abo ...
... But knowing that ex exists and must equal some real number is just half the battle. How does one proceed to actually compute ex for any real number? To compute ex, one uses a Taylor series expansion for ex. Also, our original question asked about computing powers of 3, namely 3√2. Do the results abo ...
Download
... Differential calculus: Functions and its different types, limit, continuity, derivative, chain rule, derivative of implicit functions and functions defined parametrically. Application of calculus – tangents and normal, maxima and minima, use of calculus in sketching graph of functions. L′Hospital’s ...
... Differential calculus: Functions and its different types, limit, continuity, derivative, chain rule, derivative of implicit functions and functions defined parametrically. Application of calculus – tangents and normal, maxima and minima, use of calculus in sketching graph of functions. L′Hospital’s ...
HOSTOS COMMUNITY COLLEGE DEPARTMENT OF MATHEMATICS MAT 210
... Real numbers, Inequalities, Absolute value, distance, Circles, Linear Equations I and II lines ...
... Real numbers, Inequalities, Absolute value, distance, Circles, Linear Equations I and II lines ...