For the plane curve, (a) graph the curve, and (b) find a rectangular equation for the curve **P+2, y=P-7, fort in (-00-0) (a) Choose the correct graph below ОС. OD ОА ОВ. 1 b) The valent rectangular equation is for x over the interval (Simolly your answers
The curve shown below is called a Bowditch curve or Lissajous figure. Find the point in the interior of the first to the curve is horizontal, and ind the equations of the two tangents at the origin. What is the point in the interior of the frst quadrant where the tangent to the curve is horizonta? an ordered pair. Type an exact answer, using radicals as needed ) What is the equation of the tangent at the origin when t...
For each plane curve, find a rectangular equation. State the appropriate interval for x or y. x=612 y=t+3, fort in (-00,00) O A. x=3(y - 6)? OB. y=3(x - 6)2 OC. y = 6(x - 3)2 OD. x= 6(y - 3)2 Choose the correct interval for the rectangular equation. OA -00 <y< OB. Osy<oo oc. Osxoo OD. -00<x<00
Graph the curve whose parametric equations are given and show its orientation. Find the rectangular equation of the curve x=7 cost. y sint Osts 2x Choose the correct graph below. OA OB Ос. OD @ Determine the rectangular equation of the curve. Choose the correct answer below. Oxy7:16 40 O o 36 40 1 0 40x3y1
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...
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 = 2 sin tcos t has two tangents at (0, 0) and find their equations (smaller slope) (larger slope)
(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...
2 sin 50 at (1 point) Find the equation (in terms of x and y) of the tangent line to the curve r = | 0 = 1/6. y =
13) Find an equation of the tangent line to the curve y=sin(5x)+cos(8x) at the point (π/6,y(π/6)). what is the tangent line: 14) f(x)=4x^2cos(4x) what is the first and second derivatives and solve both for F(5) NOTE There should be four answers! 16) Suppose that f(x)=3x/(4−5x^)3 find an equation for the tangent line to the graph of f at x=2. the tangent line: y=
Find an equation of the following curve, assuming the center is at the origin. Sketch a graph labeling the vertices, foci, asymptotes, and directrices. Use a graphing utility to check your work A hyperbola with vertices (+ 1,0) and eccentricity 3 The foci of the hyperbola are (Type an ordered pair. Type an exact answer. Use a comma to separate answers as needed.) The equations for the asymptotes of the hyperbola are y=+ (Type an exact answer.) Write the equations...