Equation of tangent line to curve calculator
[DOC File]CALCULUS BC
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6. A curve C is defined by the parametric equations. (a) Find in terms of t. (b) Find an equation of the tangent line to C at the point where t = 2. 7. A curve C is defined by the parametric equations. (a) Find in terms of t. (b) Find an equation of the tangent line to C at the point where t =.
[DOC File]Introduction to Tangent Lines using TI-Nspire CAS
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Graph the equation y = x3 + 2x2 - 3x – 4 on the window [-10, 10] by [-10, -10]. Draw a point on the curve, draw a tangent line through that point, and find the equation of the tangent line, using the TI-Nspire. To draw a point on the curve and draw a tangent through that point, refer to Activity 1.
[DOC File]template
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The calculator draws a tangent line and gives you the value of dy/dx (on a TI-82) or the equation of the line (on a TI-83). Either way, the derivative or the slope yields the instantaneous velocity at that time. You can draw as many as 6 tangents to the curve (by repeating step 3) w/o getting too confused.
[DOC File]Equations and Graphs
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Find the equation of the line that passes through (-3, 2) and is parallel to the line x + y = 7. Find the equation of the line that passes through (-6, 4) and is perpendicular to 3x + 4y = 7. Find the equation of the line that passes through (-1, 0) and is parallel to y = -3. …
[DOC File]CALCULUS BC
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2. An object moving along a curve in the xy-plane has position at time t with the velocity vector . At time t = 1, the object is at (ln 2, 4). (a) Find the position vector. (b) Write an equation for the line tangent to the curve when t = 1. (c) Find the magnitude of the velocity vector when t = 1.
[DOC File]CALCULUS BC
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5. Find the equation of the tangent line to the curve given by the parametric equations. at the point on the curve where t = 1. 6. If are the equations of the path of a particle moving in the xy-plane, write an . equation for the path of the particle in terms of x and y. 7.
[DOC File]MAT 271 Test 1 -- Review
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Be able to write up the equation of a tangent line to a parametric curve. Know how to calculate arc length for functions in parametric form. Area calculation makes sense between two constant values of the parameter or for closed loops. Know what system of equations to solve to find parameter values for which the curve intersects itself.
[DOC File]AP Calculus Free-Response Questions
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b. Write an equation of each horizontal tangent line to the curve. c. The line through the origin with slope -1 is tangent to the curve at point P. Find the x- and . y-coordinates of point P. 1999 Graphing Calculators Required on all 6 questions. 193. A particle moves along the y-axis with velocity given by v(t) = t sin(t2) for t > 0. a.
[DOC File]First exam practice sheet
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Calculator (no TI-89 or 92) You should know how to find all derivatives we have covered, including all trigonometric functions, natural log, and the inverse sine and inverse tangent functions. Sample problems. Find the derivatives if . if Use implicit differentiation to find an equation of the tangent line to the curve …
[DOC File]4
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If is a differentiable function at , then the tangent line, , to the curve at is a good approximation to the curve for values of near (Figure 8a). If you “zoom in” on the two graphs, and the tangent line, at the point of tangency, , or if you look at a table of values near the …
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