7. (1 point) For r-f (θ)-sin(θ)-1: (A) Find the area contained within f() (B) Find the slope of the tangent line to f(9) at-0. 7. (1 point) For r-f (θ)-sin(θ)-1: (A) Find the area contained with...
Find the slope of the tangent line to the given polar curve at the point specified by the value of θ. r = 6sin(θ) θ = π/3 Find the slope of the tangent line to the given polar curve at the point specified by the value of θ. r = 4 - sin(θ) θ = π/4 Find the slope of the tangent line to the given polar curve at the point specified by the value of θ. r = 9/θ...
5. Consider the polar graphs, r = 1-sin θ and r = sin θ , shown in the figure below. Find the polar coordinates (r, θ) for all the points of intersection on the figure. a) b) Find the area of the region that lies inside both the graph of r-1-sin θ and Find the slope of the line tangent to the graph of r-1-sin θ at θ-- Find a Cartesian equation for the line tangent to the graph of...
3 TT Find the slope of the tangent line to polar curve r = 7 – 6 sin 0 at the point ( 7 – 6- 2 2 3 TT TT Find the points (x, y) at which the polar curve r = 1 + sin(e), 0 < has a vertical 4 4. and horizontal tangent line. Vertical Tangent Line: Horizontal Tangent Line:
Problem 3 (12 points) The curve with parametric equations (1 + 2 sin(9) cos(9), y-(1 + 2 sin(θ)) sin(0) is called a limacon and is shown in the figure below. -1 1. Find the point (x,y 2. Find the slope of the line that is tangent to the graph at θ-π/2. 3. Find the slope of the line that is tangent to the graph at (,y)-(1,0) ) that corresponds to θ-π/2. Problem 3 (12 points) The curve with parametric equations...
In exercises 41 and 42, find the slope of the tangent line to the polar curve at the given point. r = 1 − sin θ at θ = 0
Find the slope of the line tangent to the polar curve at the given point. r= 5 sine (25) r=5 sin 0;
Find the slope of the tangent line to the polar curve r=2-sin(theta) at the point specified by theta=pi/3 Slope = ____ ?
(a) Find the slope of the tangent line to the graph of the polar curve r = 1 + 2 cos θ at the point where θ = π/3 . (b) What are the x, y coordinates of the point in the curve r = 1 + 2 cos θ where θ = π/4.
(1 point) Find the slope of the tangent line to the polar curve ?=cos(4?)r=cos(4θ) at the point corresponding to ?=?/3θ=π/3. The tangent line has slope (1 point) Find the slope of the tangent line to the polar curve r = cos(40) at the point corresponding to 0 = a/3. The tangent line has slope
Find the slope of the tangent line to the following polar curve. r=2 sin(30)