2 Consider the set of parametric equations (a) Graph in the following window: TMIN -3.74, TMAX-3.74, TSTEP = 0.02, XMIN =-10, XMAX = 10, Y MIN =-7, YMAX = 7, Sketch the graph. (b) At, find (x, y) and dy/dx. Write the equations of the lines tangent to and normal to the graph at (c) Find the length of the curve from to (d) Find the area of the surface resulting from revolving the length of the curve in (c) about the x-axis. (e) Find the area of the surface resulting from revolving the length of the curve in (c) about the y-axis.
1. For the following equation, find the center, vertices, foci, transverse axis, and asymptotes, and sketch the graph: 4x2-y2 + 4x + 4y + 1 = 0. 2. Consider the set of parametric equations = t + cos(nt) (a) Graph in the following window: TMIN--3.74, TMAX 3.74, TSTEP YMIN =-7, YMAX 7. Sketch the graph. 0.02, XMIN -10, XMAX 10,
(b) At t = 1.5, find (x, y) and dy/dx. Write the equations of the lines tangent to and normal to the graph at (c) Find the length of the curve from t 3.1tot 3.7. (d) Find the area of the surface resulting from revolving the length of the curve in (c) about the x-axis. (e) Find the area of the surface resulting from revolving the length of the curve in (c) about the y-axis.
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1. For the following equation, find the center, vertices, foci, transverse axis, and asymptotes, ...
An equation of a hyperbola is given. x^2/16 - y^2/64=1. (a) Find the vertices, foci, and...
An equation of a hyperbola is given. x^2/16 - y^2/64=1. (a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.) (b)Determine the length of the transverse axis. (c) Sketch a graph of the hyperbola.
An equation of a hyperbola is given. x^2/16 - y^2/61=1. (a) Find the vertices, foci, and...
An equation of a hyperbola is given. x^2/16 - y^2/61=1. (a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.) (b)Determine the length of the transverse axis. (c) Sketch a graph of the hyperbola.
1.a Find the vertices, foci, and asymptotes of the hyperbola and sketch its graph. b. y?...
1.a Find the vertices, foci, and asymptotes of the hyperbola and sketch its graph. b. y? – 16x2 = 16 Find the area of the region enclosed by one loop of the curve : r2 = 4cos20
Bonus Question 1. Analyze (find the center, major axis, vertices and foci) and sketch xal 16...
Bonus Question 1. Analyze (find the center, major axis, vertices and foci) and sketch xal 16 9 Graph:
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19. For the following ellipse, find the center, vertices, foci, eccentricity. Sketch the graph. Equation: (x+3) , (y-1) 16
The equation of a hyperbola is 4x -(y+3) 9 a) Find the center, vertices, transverse axis,...
The equation of a hyperbola is 4x -(y+3) 9 a) Find the center, vertices, transverse axis, and asymptotes of the hyperbola b) Use the vertices and the asymptotes to graph the hyperbola a) The center of the hyperbola isType an ordered pair.) The vertices are Type an ordered pair. Use a comma to separate answers as needed.) The equation of the transverse axis is (Type an equation.) Determine the equations of the asymptotes. Choose the correct answer below b) Choose...
you can skip question 1 Sketch the graph of x(t) sin(2t), y(t) = (t + sin(2t))...
you can skip question 1
Sketch the graph of x(t) sin(2t), y(t) = (t + sin(2t)) and find the coordinates of the points on the graph where the tangent is horizontal or vertical (please specify), then compute the second derivative and discuss the concavity of the graph. 1. Show that the surface area generated by rotating, about the polar axis, the graph of the curve 2. f(0),0 s asesbsnis S = 2nf(0)sin(0) J(50)) + (r°(®)*)de Find an equation, in both...
Find an equation of the following curve, assuming the center is at the origin. Sketch a...
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...
1. Set up, but do not evaluate, an integral to find the area enclosed by the...
1. Set up, but do not evaluate, an integral to find the area enclosed by the x-axis and the [x = 1 + et curve ly = t-t2 2. {*5+?2t Osts2 y = VE (1) Find the equation of the tangent line at the point where t = (2) Set up, but do NOT evaluate, an integral to find the area of the surface obtained by rotating the curve about the y-axis. 3. Set up but do NOT evaluate an...
Let the curve C in the (x, y)-plane be given by the parametric equations x =...
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1.a Find the vertices, foci, and asymptotes of the hyperbola and sketch its graph. b. y? – 16x2 = 16 Find the area of the region enclosed by one loop of the curve : r2 = 4cos20
Bonus Question 1. Analyze (find the center, major axis, vertices and foci) and sketch xal 16 9 Graph:
19. For the following ellipse, find the center, vertices, foci, eccentricity. Sketch the graph. Equation: (x+3) , (y-1) 16
The equation of a hyperbola is 4x -(y+3) 9 a) Find the center, vertices, transverse axis, and asymptotes of the hyperbola b) Use the vertices and the asymptotes to graph the hyperbola a) The center of the hyperbola isType an ordered pair.) The vertices are Type an ordered pair. Use a comma to separate answers as needed.) The equation of the transverse axis is (Type an equation.) Determine the equations of the asymptotes. Choose the correct answer below b) Choose...
you can skip question 1
Sketch the graph of x(t) sin(2t), y(t) = (t + sin(2t)) and find the coordinates of the points on the graph where the tangent is horizontal or vertical (please specify), then compute the second derivative and discuss the concavity of the graph. 1. Show that the surface area generated by rotating, about the polar axis, the graph of the curve 2. f(0),0 s asesbsnis S = 2nf(0)sin(0) J(50)) + (r°(®)*)de Find an equation, in both...
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...
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