#1 Find the slope and the equations of the tangent lines to the given curves at...
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:
3. Find the equations of tangent and normal lines to the given curves at the given points. y2 – 2x – 4y - 1 = 0, at the point (-2,1).
(a) Find the slope m of the tangent to the curve y = 2 + 4x2 − 2x3 at the point where x = a. m = (b) Find equations of the tangent lines at the points (1, 4) and (2, 2). y(x) = (at the point (1, 4)) y(x) = (at the point (2, 2)) (c) Graph the curve and both tangents on a common screen. say and the sose m of the target to the survey * 2...
Example 1: Find the slope of the tangent line to the following polar curves at given points. r=4cos O; (2, 7/3).
Write equations of a tangent and a normal plane for the given curves at the given points: 9.8.1 is the question number. 9.8.1.x-t - sint, y- cos t, z-4sint/2 at t-/2; 9.8.1.x-t - sint, y- cos t, z-4sint/2 at t-/2;
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...
The given point is on the curve. Find the lines that are (a) tangent and (b) normal to the curve at the given point. 4x2 + 3xy + 3y2 +17y - 4 = 0,(-1,0) (a) Give the equation of the line that is tangent to the curve at the given point y = (b) Give the equation of the line that is normal to the curve at the given point. y = Suppose that fis an odd function of x....
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...
(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.
Find parametric equations for the line that is tangent to the given curve at the given parameter value. r(t) = (2 cos t) + (9-2 sin t))+(0) What is the standard parameterization for the tangent line? t=0 (Type expressions using t as the variable.)