Differentiation of parametric equations
Calculus II
Graph polar and parametric curves by hand and relate them to rectangular coordinates for area, arc length, and tangent lines. Develop the calculus for polar and parametric forms. In the case of extenuating circumstances, you have the option of allowing students to retake at most one (1) exam.
[DOC File]Calculus Syllabus
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omit (predator/prey equations) omit (binomial series) 8.10 omit (series solutions to differential equations) Appendix F stress forms of partial fraction decompositions and hand computation for simple linear factors but use Mathematica. for the more complicated partial fractions problems. Math 228.
[DOCX File]Brandywine Heights Area School District
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Standards. Essential Questions. Assessments. Skills. Content. Lessons. Resources. 1.D.1- Parametric, polar, and vector functions- The analysis of planar curves includes those in parametric form, and vector form.2.A.1- Derivative presented graphically, numerically, and analytically2.A.2- Derivative interpreted as an instantaneous rate of change2.A.3- Derivative defined as the limit of the ...
[DOCX File]Unit 1A: Review of Integration, Differentiation and the ...
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Students use parametric equations to study ballistics and determine the position of a net and cannon angle necessary to propel “Blammo the Human Cannonball” safely into a netting without hitting the roof of a circus big top. Students must describe . in writing
[DOC File]Differentiation C4 Questions - Pam Garnett's Maths Resources
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The curve C has parametric equations. x = a sec t , y = b tan t, 0 < t < , where a and b are positive constants. (a) Prove that = cosec t. (b) Find the equation in the form y = px + q of the tangent to C at the point where t = . 2. The diagram above shows the curve with equation y = e 2x. Find the x-coordinate of M, the maximum point of the ...
[DOCX File]Mathematics Curriculum Map
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Differentiation of inverse functions. FURTHER APPLICATIONS OF CALCULUS. Concave and convex curves. Points of inflection. Parametric equations. Differentiating parametric equations. Integrating parametric equations. Connected rates of change. Finding complex areas e.g. between 2 curves, between a curve and the y-axis.
[DOC File]DIFFERENTIATION
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PARAMETRIC DIFFERENTIATION Differentiate x and y with respect to t. Then use the Chain Rule in the form Example. Find the gradient of the curve at the point P where t = π/3, on the curve with parametric equations x = 3 sin t, y = sin 2t. Use your answer to find the equation of the normal at point P Ex 4A p 34
[DOC File]Calculus, Third Edition
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3.7 Implicit Differentiation. 3.8 Parametric Equations. 3.9 Linear Approximation and the Derivative. 3.10 Using Local Linearity to Find Limits (L’Hopital’s Rule) Chapter 4. Using the Derivative. 4.1 Using First and Second Derivatives (Sketching Graphs of Functions) 4.2 Families of Curves.
[DOC File]Linesville High School - Perry-Lecompton USD 343
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Implicit Differentiation. Parametric Equations . b) Chain Rule in Parametric Form. Related Rates. Project assigned . Coffee pot problem – verbal presentation, written conclusions. The Second Derivative, Second Derivative Test. Concavity . Points of inflection. Justification of points of inflection.
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