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Graph the following parametric equation (provide at least 3 data points). 9) x = 2 cost,...
Find parametric equations (not unique) for the following circle and give an interval for the parameter....
Find parametric equations (not unique) for the following circle and give an interval for the parameter. Graph the circle and find a description in terms of x and y. A circle centered at (-5,4) with radius 11, generated clockwise. Choose the correct set of parametric equations and interval below. O A. x= -5+11 cos(-t), y = 4 + 11 sin(-t): 0 SISI OB. x= cost, y = sint: Ostst OC. x= 4 + 11 sin(-t), y = -5 + 11...
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 slo...
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...
5. Which is the graph of the following parametric equation? (1 point) 2 x-E and y 2-3 .y t-4 5 t-4 3- 2- 3- 2-...
5. Which is the graph of the following parametric equation? (1 point) 2 x-E and y 2-3 .y t-4 5 t-4 3- 2- 3- 2- 5 -4 -3 -2 10 -1 2 3 4 t-1 t=0 it 6: Parametric Functions 6 3 2- 1- -5-4-3-2-1.0 -1 -2 -3 t 0 2- t= 16 2 4 -3 2 1 12 3 4 5 -1 1 -2 -4 ametric Functions Test 6: Parametric Functions t 16 1- 1/2 3 4 5 -1...
Write the parametric equation for the curve 9 = (x-5)H(y+1)2 And x(t) v(r) Graphs of z(t)...
Write the parametric equation for the curve 9 = (x-5)H(y+1)2 And x(t) v(r) Graphs of z(t) and y(t) are shown in the preceding figure Which figure shows the graph of parametric curve c(t)- (z(t), (t))?
5. What is the derivative, and, of the parametric equation x = cost), y = et?...
5. What is the derivative, and, of the parametric equation x = cost), y = et? A since -sin(t) C -sin(t). Det E There is no derivative. 6. Determine the integral which computes the volume of the solid formed by rotating the region bounded by y = 8-23, y = 0, and x = 0 about the x-axis. A B L=(8 – rød (** (3 – 20)? do +(8 – 23) dx 1 =18 # (8 – 2) da Ω...
please help 13) Graph the parametric curve for all real values of x, and indicate the...
please help
13) Graph the parametric curve for all real values of x, and indicate the direction moved by a particale along the path (interpreting t as time), and the direction of motion. x = 2 sin t, y = 5 cos t, Osts 27 2+ 1+ + -5 -4 -3 -2 1 2 - 1 -1+ 3 4 5% 2+ -3+ + Describe the graph of the polar equation sin 20 = 22
Parametric equations and a parameter interval for the motion of a particle in the xy-plane are...
Parametric equations and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. x = 2 sin t, y = 5 cost, osts 21 3+ 2+ 1+ -3 4
7. (14,5) A particular parametric curve is given by x=1-3, y = 21 +3 for -2...
7. (14,5) A particular parametric curve is given by x=1-3, y = 21 +3 for -2 515 3. Sketch the curve using arrows to indicate the direction in which the curve is traced as increases. Then eliminate the parameter / to find a Cartesian equation of the curve. 8. (10,4) Find the equation of the plane through the point (-5, 4, 2) and with normal vector-31 +4j - k. Give your answer in both the vector equation of a plane...
4.Consider the curve described by the parametric equations x= sin(t)=cos2(t) ,y= sec(t). Verify that all points on this curve satisfy the equation x^2+y^2=y^4
4.Consider the curve described by the parametric equations x= sin(t)=cos2(t) ,y= sec(t). Verify that all points on this curve satisfy the equation x^2+y^2=y^4
2) Find a rectangular equation for the curve with the given parametric equations. x = 2...
2) Find a rectangular equation for the curve with the given parametric equations. x = 2 sin(t).y = 2 cos(t);0 st <270 (b) x2 + y2 = 2 c) x2 + y2 = 4 (d) y = x2 - 4 (a) y2 - x2 = 2 (e) y = x2 - 2
Find parametric equations (not unique) for the following circle and give an interval for the parameter. Graph the circle and find a description in terms of x and y. A circle centered at (-5,4) with radius 11, generated clockwise. Choose the correct set of parametric equations and interval below. O A. x= -5+11 cos(-t), y = 4 + 11 sin(-t): 0 SISI OB. x= cost, y = sint: Ostst OC. x= 4 + 11 sin(-t), y = -5 + 11...
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...
5. Which is the graph of the following parametric equation? (1 point) 2 x-E and y 2-3 .y t-4 5 t-4 3- 2- 3- 2- 5 -4 -3 -2 10 -1 2 3 4 t-1 t=0 it 6: Parametric Functions 6 3 2- 1- -5-4-3-2-1.0 -1 -2 -3 t 0 2- t= 16 2 4 -3 2 1 12 3 4 5 -1 1 -2 -4 ametric Functions Test 6: Parametric Functions t 16 1- 1/2 3 4 5 -1...
Write the parametric equation for the curve 9 = (x-5)H(y+1)2 And x(t) v(r) Graphs of z(t) and y(t) are shown in the preceding figure Which figure shows the graph of parametric curve c(t)- (z(t), (t))?
5. What is the derivative, and, of the parametric equation x = cost), y = et? A since -sin(t) C -sin(t). Det E There is no derivative. 6. Determine the integral which computes the volume of the solid formed by rotating the region bounded by y = 8-23, y = 0, and x = 0 about the x-axis. A B L=(8 – rød (** (3 – 20)? do +(8 – 23) dx 1 =18 # (8 – 2) da Ω...
please help
13) Graph the parametric curve for all real values of x, and indicate the direction moved by a particale along the path (interpreting t as time), and the direction of motion. x = 2 sin t, y = 5 cos t, Osts 27 2+ 1+ + -5 -4 -3 -2 1 2 - 1 -1+ 3 4 5% 2+ -3+ + Describe the graph of the polar equation sin 20 = 22
Parametric equations and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. x = 2 sin t, y = 5 cost, osts 21 3+ 2+ 1+ -3 4
7. (14,5) A particular parametric curve is given by x=1-3, y = 21 +3 for -2 515 3. Sketch the curve using arrows to indicate the direction in which the curve is traced as increases. Then eliminate the parameter / to find a Cartesian equation of the curve. 8. (10,4) Find the equation of the plane through the point (-5, 4, 2) and with normal vector-31 +4j - k. Give your answer in both the vector equation of a plane...
2) Find a rectangular equation for the curve with the given parametric equations. x = 2 sin(t).y = 2 cos(t);0 st <270 (b) x2 + y2 = 2 c) x2 + y2 = 4 (d) y = x2 - 4 (a) y2 - x2 = 2 (e) y = x2 - 2
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