Answered: Tangent line at the origin Find the…

Name: Tangent line at the origin Find the polar equation of the line tangent
Uploaded: 2024-03-20T06:46:42.000Z
Channel: Bartleby
Description: Tangent line at the origin Find the polar equation of the line tangent to the polar curve r = cos θ + sin θ at the origin, and then find the slope of this tangent line.

Math

Calculus

Tangent line at the origin Find the polar equation of the line tangent to the polar curve r = cos θ + sin θ at the origin, and then find the slope of this tangent line.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter7: Analytic Trigonometry

Section7.3: Double-angle, Half-angle, And Product-sum Formulas

Problem 36E

See similar textbooks

Similar questions

Tangent line at the origin Find the polar equation of the line tangent to the polar curve r = 4 cos θ at the origin. Explain why the slope of this line is undefined.
Slopes of tangent lines Find the slope of the line tangent to the following polar curves at the given points.
Use a graphing utility to graph the polar equation over the given interval. r = e^ theta , 0 ≤ theta ≤ pi Use the integration capabilities of the graphing utility to approximate the length of the curve accurate to two decimal places.
Use a graphing utility to graph the polar equation over the given interval. Use the integration capabilities of the graphing utility to approximate the length of the curve. r = 2 sin(2 cos θ), [0, π]
Multiple tangent lines at a pointa. Give the smallest interval [0, P] that generates the entire polar curve and use a graphing utility to graph the curve.b. Find a polar equation and the slope of each line tangent to the curve at the origin. r = cos 3θ + sin 3θ
Derivatives of Polar Coordinates
polar equation of x=1
Use a graphing utility to graph the polar equation over the given interval. Use the integration capabilities of the graphing utility to approximate the length of the curve. r = eθ, [0, π]
Finding intersection points Find the points at which the curvesy = cos x and y = x intersect.
Use a graphing utility to graph the polar equation over the given interval. r = 9/ theta, pi ≤ theta ≤ 2pi Use the integration capabilities of the graphing utility to approximate the length of the curve accurate to two decimal places.
Part i PARAMETRIC EQUATION: find the second derivative y with respect to x from the parametric equations given. plot the curve and draw the tangent line and locate the point of tangency.
Horizontal and vertical tangents Find the points at which the following polar curves have horizontal or vertical tangent lines. r = 2 + 2 sin θ