Question

Find the slope of the tangent line for the curve $r = -7 - 5\cos\theta$ when $\theta = \frac{\pi}{4}$.

Name: Find the slope of the tangent line for the curve r = -7 - 5cosθ when θ = (π)/(4).
Uploaded: 2023-01-12T15:49:13-08:00
Duration: 1 min 32 s
Channel: Sri K
Description: Find the slope of the tangent line for the curve r = -7 - 5cosθ when θ = (π)/(4).

          Find the slope of the tangent line for the curve $r = -7 - 5\cos\theta$ when $\theta = \frac{\pi}{4}$.

Added by Stephanie B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

01/12/2023

Step 1

Step 1: The slope of the tangent line to a polar curve is given by: $$\frac{dy}{dx} = \frac{\frac{dr}{d\theta} \sin \theta + r \cos \theta}{\frac{dr}{d\theta} \cos \theta - r \sin \theta}$$ Show more…

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