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Tangent

bccalcclassact5bparametric

Subject: 
Calculus
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Analytic geometry
Differential geometry
Curves
Multivariable calculus
equations
Parametric equation
Tangent
Parametric
derivative
Generalizations of the derivative
Implicit curve
Envelope

Name:________________________ Date:________________________ AP Calculus BC Class Activity 5b: Parametric Equations and Calculus Find the derivative for the following parametric equations: x = t2 + 1 and y = 2t3 ? t2 x = 3 sin t and y = 4cos t ? 1 Find the second derivative for the following parametric equations: x = t2and y = t2 + 6t + 5 x = ln t and y = t2 + t A curve C is defined by the parametric equations x = t2 + t ? 1 and y = . Find in terms of t. Find an equation of the tangent line to C through the point where t = 2. A curve C is defined by parametric equations x = t2 ? t + 1 and y = t3 ? 3t. Find all points where the tangent line is horizontal. Find all points of vertical tangency.

bccalcclassact2tangents

Subject: 
Calculus
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Differential calculus
derivative
Generalizations of the derivative
Tangent
Differentiable function
Calculus
Fermat's theorem

Name:________________________ Date:________________________ AP Calculus BC Class Activity 2: Derivatives and Tangents Evaluate the following limits using the limit definition of derivative and known shortcuts: Find the equation of the tangents lines to the functions below at the given point: 6. Use the table below to answer the following questions: x -2 1 2 6 f (x) 4 8 9 1 Find the average rate of change over the interval (1, 6). Estimate the instantaneous rate of change at the point x = 1. Find where the following functions are differentiable: 10. Find the values of a and b so that g (x) is continuous and differentiable:

alg2 review

Subject: 
Algebra
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Elementary algebra
Conic sections
Curves
equations
polynomials
Cubic function
Parabola
Logarithm
Ellipse
Tangent
quadratic equation
Linear differential equation

H/GT Algebra II - Semester Exam Final Review 1.) Solve 4 264 16 1 0b b? ? ? 2.) What is the vertex of 23 24 5y x x? ? ?? 3.) Graph 22( 1) 1y x? ? ? 4.) Solve 25 19 4n n? ? 5.) Write an equation of a parabola that passes through the points (0, 2), (-2, 6), and (6, 14). 6.) Write the equation for the graph below. 7.) Write an equation of a parabola (general form) with vertex (0, 0) and directrix y = 2. 8.) Find the vertex of 24 4x y y? ? 9.) Graph 2 3y x? ? 10.) Write an equation of a circle with center (4, -3) and radius 5. (General form) 11.) Find the center and radius: 2 2 8 4 12 0x y x y? ? ? ? ?

AP Calc AB 2004 Scoring Guideliens

Subject: 
Calculus
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Mathematical analysis
Calculus
Mathematics
Integral calculus
Differential calculus
Ordinary differential equations
Functions and mappings
Differential topology
derivative
integral
Tangent
Separation of variables
education

AP? Calculus AB 2004 Scoring Guidelines The College Board is a not-for-profit membership association whose mission is to connect students to college success and opportunity. Founded in 1900, the association is composed of more than 4,500 schools, colleges, universities, and other educational organizations. Each year, the College Board serves over three million students and their parents, 23,000 high schools, and 3,500 colleges through major programs and services in college admissions, guidance, assessment, financial aid, enrollment, and teaching and learning. Among its best-known programs are the SAT?, the PSAT/NMSQT?, and the Advanced Placement Program? (AP?). The College Board is committed to the principles of

AP Calc AB 2004 Scoring Guidelines (Form B)

Subject: 
Calculus
Rating: 
0
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Tags: 
Mathematical analysis
Mathematics
Functions and mappings
Integral calculus
Analytic geometry
Differential geometry
Elementary geometry
Tangent
integral
Calculus
Mean value theorem
Antiderivative
education

AP? Calculus AB 2004 Scoring Guidelines Form B The College Board is a not-for-profit membership association whose mission is to connect students to college success and opportunity. Founded in 1900, the association is composed of more than 4,500 schools, colleges, universities, and other educational organizations. Each year, the College Board serves over three million students and their parents, 23,000 high schools, and 3,500 colleges through major programs and services in college admissions, guidance, assessment, financial aid, enrollment, and teaching and learning. Among its best-known programs are the SAT?, the PSAT/NMSQT?, and the Advanced Placement Program? (AP?). The College Board is committed to the principles of
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