Find dy/dx and the slopes of the tangent lines shown on the graph of the polar equation. (If an answer does not exist, enter DNE.)r= 2(1 sin(0))(2, 0)1 237元3,6.37T4,dydyat (2, 0)-1%3Dat (3, 2)at (4, )dyDNE6.3.7Tdy0.2.%3Dt.

Consider the following equation: r=21-sinθ Relation between Polar and Cartesian coordinates:…

Answered: Find dy/dx and the slopes of the…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.5: Polar Coordinates

Problem 87E

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Shooting into the Wind Using the parametric equations you derived in Problem 6. draw graphs of the path of a projectile with initial speed v0=32ft/s, fired into a headwind of =24ft/s, for the angles =5,15,30,40,45,55,60 and 75. Is it still true that the greatest range is attained when firing at 45 ? Draw some more graphs for different angles, and use these graphs to estimate the optimal firing angle.
find dy/dx and the slopes of the tangent lines shown on thegraph of the polar equation. r = 2 + 3 sin θ
Find the slope of the line tangent to the following polar curve at the given point. r=4−4sinθ; (8,3π/2) Additionally, find dy/dx as a function of θ.
Find the slope of the line tangent to the following polar curve at the given point. r=4-4sin(theta); (8, (3pi/2)) Find dy/dx as a function of theta.
Find an equation (in polar coordinates) of the line tangent to the cycloid x = t - sin t, y = 1 - cos t at the points corresponding to t = pi/6 and t = 2pi/3.
Find the slope of the polar curve r = 2( 1 – cosx ) when x = pi/4 . a. 1.707 b. 2.414 c. 1.866 d. 2.545 Find the slope of the curve x = 3t2 – 2 , y = t3 + 4 at t = 2 a. 2 b. 1 c. - 1 d. - 2
Find the expression for the tangent slope dy/dx for points on the Polar curve r= 6 +12 cosθ
Find the exact length of the polar curve r=e2(theta) , where 0 is less than or equal too theta is less than or equal too ln(3).
Find the slope of the line tangent to the following polar curve at the given point. r=5−5sinθ; (10,(3pi/2)) Then find dy/dx as a function of θ. (Please put answer in the form dy/dx= )
a. Find ~R(t),b. give the parametric equations of the tangent line to the graph of ~R(t) at t = 0:
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Find dy/dx and the slopes of the tangent lines shown on the graph of the polar equation. (If an answer does not exist, enter DNE.) r= 2(1 sin(0)) (2, 0) 1 23 7元 3, 6. 37T 4, dy dy at (2, 0) -1 %3D at (3, 2) at (4, ) dy DNE 6. 3.7T dy 0. 2. %3D t.