Please explain, thank you. Show that the curve x = 5 cos t, y = 2 sin tcos t has two tangents at (0, 0) and find their equations (smaller slope) (larger slope) Show that the curve x = 5 cos t, y...
Please help!!!Find the equations of the tangents to the curve x = 922 + 9, y = 6+ + 3 that pass through the point (18,9). (smaller slope) y = ya (larger slope)
Find the equation of the tangents to the curve y = sin x at x = -1, 0, and Graph the curve over the interval together with their tangents. Label each curve and tangent What is the equation of the tangent (I) to the curve at x = -x? y= What is the equation of the tangent (II) to the curve at x = 0? y=0 What is the equation of the tangent (Ill) to the curve y= Choose the...
Find the slope of the tangent line to the Lissajous curve cos(t), y = sin(4t) at t = 1/6. Eliminate the parameter to find the Cartesian equation of the curve x = 41-t, y = (1+t, -1st s 1. Identify what type of curve this is. You do not have to sketch the curve.
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...
(USING MATLAB) Given two differential equations X= sin(t)(exp(cos(t))-2cos(4t)+sin(t/12)^5) And Y = cos(t)(exp(cos(t))-2cos(4t)+sin(t/12)^5) where 0<t<20pi is a vector of 5000 points created by using (linspace) command : Write script to plot X and Y with red color ?
Marks 4 3. Find the length of the curve x t + cos t, y= t - sin t on the interval 0<t<2m. Marks 4 3. Find the length of the curve x t + cos t, y= t - sin t on the interval 0
(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...
T Find the length of the curve e' cos(t) e' sin(t) for 0 < t < 2 y (Hint: You can simplify the integrand by expanding the argument inside the square root and applying the Pythagorean identity, sinº (0) + cos²O) = 1.)
25. Given the following parametric curve X(t) = -1 + 3 cos(t) y(t) = 1 + 2 sin(t) 0<t<21 a) Express the curve with an equation that relates x and y. 7C b) Find the slope of the tangent line to the curve at the point t c) State the pair(s) (x,y) where the curve has a horizontal/vertical tangent line. 27.A particle is traveling along the path such that its position at any time t is given by r(t) =...
3. 8p] Show that the force field F(x,y, z) sin y, x cos y + cos z, -y sin z) is conservative and use this fact to evaluate the work done by F in moving a particle with unit mass along the curve C with parametrization r(t (sin t, t, 2t), 0 <t<T/2. 4. 8p] A thin wire has the shape of a helix x = sin t, 0 < t < 27r. If the t, y = cos t,...