Let A be a curve defined by the equations 3 x = 3t2 – 4 and y = sin (-nt). Set up (do not evaluate) the definite integral equal to the arc length of A from the point (-4,0) to the point (23, – 1).

Let A be a curve defined by the equations 3 x = 3t2 – 4 and y = sin (-nt). Set up (do not evaluate) the definite integral equal to the arc length of A from the point (-4,0) to the point (23, – 1).

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.2: Introduction To Conics: parabolas

Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

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Question

Let A be a curve defined by the equations x=3t²-4 and y=sin(-3/2πt). Set up the definite integral equal to the arc length of A from the point (-4,0) to the point (23,-1).

Let A be a curve defined by the equations
x = 3t2 – 4 and y
1(--nt). Set up (do not
evaluate) the definite integral equal to the
arc length of A from the point (-4,0) to the
point (23, –1).

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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