Derivative and integral formula sheet
[DOC File]becbgk.edu
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Distance formula (without proof), Division formula, direction cosines and direction ratios, planes and straight lines, angle between the planes. 2. Vector Differentiation: 10 Hours. Velocity, Acceleration of a particle moving on a space curves. Vector point function. Directional derivative…
[DOC File]Calculus 3 Final Exam Review, Spring 2009
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Vocabulary: the line integral is path independent in a domain D if the integral is the same for every path in D that has the same beginning and ending points. Definition 3.1: Connected Region A region (for n ( 2) is called connected if every pair of points in D can be connected by a …
[DOCX File]Penn State University - University Park
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Describe a definite integral as the limit of a Riemann sum. Determine antiderivatives of some algebraic functions and some trigonometric functions. Calculate values of definite integrals using antiderivatives and areas. Use the Fundamental Theorem of Calculus to determine the derivative of an integral.
[DOC File]Inverse Functions
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In general, whenever you encounter an integral with an integrand as a rational function, it might be possible that it can be integrated with the rule of natural logarithm. To do so, determine the derivative of the denominator. If it is the numerator itself, then the integration is simply the of …
[DOCX File]MA-C4 Integral calculus-y12
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Students develop their understanding of how integral calculus relates to area under curves and a further understanding of the interconnectedness of topics from across the syllabus.
[DOC File]Scoring sheet for a single task
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All problems require the understanding of more than one representation of central concepts such as function, derivative, integral, sequence, etc. They also assess the ability to connect phenomena to symbolic manipulations or graphs, and they require the communication of thoughtful explanations, preferably in various representations.
[DOCX File]Calendar Wizard
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5.2 TSW express an integral as a limit of sums and vice versa. Use Riemann sums & summation formulas to evaluate a definite integral. Interpret a definite integral as the area between the function and the x-axis. Estimate the area under a curve using the Trapezoidal Rule.
[DOC File]AP Calculus Free-Response Questions
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c. Set up but do not evaluate an integral representing the volume of the solid generated when R is. rotated about the y-axis. Express the integrand as a function of a single variable. 49. Given a function f with the following properties: (i) f(x + h) = eh f(x) + ex f(h) for all real numbers x and h. (ii) f(x) has a derivative for all real ...
[DOC File]HoustonACT
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Use this result to find the value of x that maximizes the integral . The integral corresponds to a portion of the signed area between the graph of and the t-axis. 4. Suppose that g has a continuous derivative on the interval , and on . By considering the formula for the length of the graph of g on the interval , ,
[DOCX File]Week 1 - Oats and Sugar - Law, Economics and Development
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Formula Sheet for Mid-semester Exam. Week 1. Chapter 1.2 – Graphs and Lines. General form of a line: y=mx+b “m” is the gradient of the line (m= rise run )Where “b” is the y intercept-b m . is x interceptPoint Gradient Formula. y- y 1 =m(x- x 1 ) ( x 1 , y 1 ) is a point on the line m . …
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