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please include the graph 12. la) Use a graphing utility to graph the curve represented by the following polar equat...
(a) Use a graphing utility to graph the curve represented by the following parametric 6. x y over the interval -2sts2. (b) Write an integral that represents -3t-1 the arc length of this curve ove...
(a) Use a graphing utility to graph the curve represented by the following parametric 6. x y over the interval -2sts2. (b) Write an integral that represents -3t-1 the arc length of this curve over the interval -2sts2. (Do not attempt to evaluate this integral algebraically.) (c) Use the numerical integration capability of a graphing utility to approximate the value of this integral. Round your result to the nearest tenth. (Be careful with your notation, show orientation arrows on your...
6. (a) Use a graphing utility to graph the curve represented by the following parametric x=езі, over the interval-2sts2.(b) Write an integral that represents tions: the arc length of this curve o...
6. (a) Use a graphing utility to graph the curve represented by the following parametric x=езі, over the interval-2sts2.(b) Write an integral that represents tions: the arc length of this curve over the interval -2sts2. (Do not attempt to evaluate this integral algebraically) (e) Use the numerical integration capability of a the value of this integral. Round your result to the nearest tenth (Be careful with your notation, show orientation arrous on your curve, and show your steps clearly.) utility...
8. (a) Use a graphing utility to graph the curve represented by the following polar equation: r(e)-2cos(3) over the interval 0s0<t. b) Find the area of one petal of this curve. (c) Shade the i...
8. (a) Use a graphing utility to graph the curve represented by the following polar equation: r(e)-2cos(3) over the interval 0s0<t. b) Find the area of one petal of this curve. (c) Shade the interior of the petal whose area you are computing. (Be careful with your notation show orientation arrous on your curve, and show your steps clearly.) (b) area of one petal of this curve-
8. (a) Use a graphing utility to graph the curve represented by the...
A curve called the folium of Descartes can be represented by the parametric equations shown below. 912 1 + 13 9t and y 1 + t3 (a) Convert the parametric equations to polar form. 9 cos( 0)sin (6)...
A curve called the folium of Descartes can be represented by the parametric equations shown below. 912 1 + 13 9t and y 1 + t3 (a) Convert the parametric equations to polar form. 9 cos( 0)sin (6) c())3 (sin(0)5 cos(θ) ),+ (sin( (b) Sketch the graph of the polar equation from part (a). 71/2 0.10 0.05 -4 0.05 0.10 0.15 -0.05 0.05 π/2 10 1.0 0.5 0.5 -0.5 10 -0.5 (c) Use a graphing utility to approximate the area...
6. Use a graphing device to graph the following polar curves. Sketch the graph and explain...
6. Use a graphing device to graph the following polar curves. Sketch the graph and explain how you determined what parameter interval you need to use to ensure that you produced the entire curve: a. r=esine – 2 cos(40) r=1+cos 9990
14. (5 points) Find a polar equation for the curve represented by ? + y2 =...
14. (5 points) Find a polar equation for the curve represented by ? + y2 = 4. Use the polar equation to set up and evaluate an integral that gives the length of the curve on the interval 0 SO S 2.
If a curve whose polar equation is r-r0) is rotated about the pole though an angle φ, then an equation for the rotated curve is r " no- Write an equation for the limeçon「-4-sin θ after it...
If a curve whose polar equation is r-r0) is rotated about the pole though an angle φ, then an equation for the rotated curve is r " no- Write an equation for the limeçon「-4-sin θ after it has been rotated counterclockwise by the given amount. Uso a graphing utility to graph the rotated limaçon for θ m/4, θ-n/2, θ π, and 3a/2. (Match the rotation to the correct graph.) (a) θ π/4 rotation r- graph (b) /2 rotation r- graph...
I need the area between the loops 4 points | Previous Answers LarCalc9 10.5.022 e a graphing utility to graph the polar equation. r-8(1 + 2 sin(θ)) 2아 15 WebAssign Plot 10 10 O 10 5 4 points...
I need the area between the loops
4 points | Previous Answers LarCalc9 10.5.022 e a graphing utility to graph the polar equation. r-8(1 + 2 sin(θ)) 2아 15 WebAssign Plot 10 10 O 10 5
4 points | Previous Answers LarCalc9 10.5.022 e a graphing utility to graph the polar equation. r-8(1 + 2 sin(θ)) 2아 15 WebAssign Plot 10 10 O 10 5
1. The following questions involve the two polar curves: R 2+2sin20 and r 6sin 0 Sketch the curves and shade the region outside R and inside r. Use a large size graph paper and clearly indicate the p...
1. The following questions involve the two polar curves: R 2+2sin20 and r 6sin 0 Sketch the curves and shade the region outside R and inside r. Use a large size graph paper and clearly indicate the points of intersection. Also indicate the values of theta that eive complete cycle for each curve. a b. Discuss the symmetry of each curve. ulate the area for the region of overlap that you shaded and described in part a. Show all steps...
1. The following questions involve the two polar curves: R 2+2sin20 and r 6sin 6 Sketch the curves and shade the region outside R and inside r. Use a large size graph paper and clearly indicate t...
1. The following questions involve the two polar curves: R 2+2sin20 and r 6sin 6 Sketch the curves and shade the region outside R and inside r. Use a large size graph paper and clearly indicate the points of intersection. Also indicate the values of theta that give one complete cycle for each curve. Discuss the symmetry of each curve. a. b. Calculate the area for the region of overlap that you shaded and described in part a. Show all...
(a) Use a graphing utility to graph the curve represented by the following parametric 6. x y over the interval -2sts2. (b) Write an integral that represents -3t-1 the arc length of this curve over the interval -2sts2. (Do not attempt to evaluate this integral algebraically.) (c) Use the numerical integration capability of a graphing utility to approximate the value of this integral. Round your result to the nearest tenth. (Be careful with your notation, show orientation arrows on your...
6. (a) Use a graphing utility to graph the curve represented by the following parametric x=езі, over the interval-2sts2.(b) Write an integral that represents tions: the arc length of this curve over the interval -2sts2. (Do not attempt to evaluate this integral algebraically) (e) Use the numerical integration capability of a the value of this integral. Round your result to the nearest tenth (Be careful with your notation, show orientation arrous on your curve, and show your steps clearly.) utility...
8. (a) Use a graphing utility to graph the curve represented by the following polar equation: r(e)-2cos(3) over the interval 0s0<t. b) Find the area of one petal of this curve. (c) Shade the interior of the petal whose area you are computing. (Be careful with your notation show orientation arrous on your curve, and show your steps clearly.) (b) area of one petal of this curve-
8. (a) Use a graphing utility to graph the curve represented by the...
A curve called the folium of Descartes can be represented by the parametric equations shown below. 912 1 + 13 9t and y 1 + t3 (a) Convert the parametric equations to polar form. 9 cos( 0)sin (6) c())3 (sin(0)5 cos(θ) ),+ (sin( (b) Sketch the graph of the polar equation from part (a). 71/2 0.10 0.05 -4 0.05 0.10 0.15 -0.05 0.05 π/2 10 1.0 0.5 0.5 -0.5 10 -0.5 (c) Use a graphing utility to approximate the area...
6. Use a graphing device to graph the following polar curves. Sketch the graph and explain how you determined what parameter interval you need to use to ensure that you produced the entire curve: a. r=esine – 2 cos(40) r=1+cos 9990
14. (5 points) Find a polar equation for the curve represented by ? + y2 = 4. Use the polar equation to set up and evaluate an integral that gives the length of the curve on the interval 0 SO S 2.
If a curve whose polar equation is r-r0) is rotated about the pole though an angle φ, then an equation for the rotated curve is r " no- Write an equation for the limeçon「-4-sin θ after it has been rotated counterclockwise by the given amount. Uso a graphing utility to graph the rotated limaçon for θ m/4, θ-n/2, θ π, and 3a/2. (Match the rotation to the correct graph.) (a) θ π/4 rotation r- graph (b) /2 rotation r- graph...
I need the area between the loops
4 points | Previous Answers LarCalc9 10.5.022 e a graphing utility to graph the polar equation. r-8(1 + 2 sin(θ)) 2아 15 WebAssign Plot 10 10 O 10 5
4 points | Previous Answers LarCalc9 10.5.022 e a graphing utility to graph the polar equation. r-8(1 + 2 sin(θ)) 2아 15 WebAssign Plot 10 10 O 10 5
1. The following questions involve the two polar curves: R 2+2sin20 and r 6sin 0 Sketch the curves and shade the region outside R and inside r. Use a large size graph paper and clearly indicate the points of intersection. Also indicate the values of theta that eive complete cycle for each curve. a b. Discuss the symmetry of each curve. ulate the area for the region of overlap that you shaded and described in part a. Show all steps...
1. The following questions involve the two polar curves: R 2+2sin20 and r 6sin 6 Sketch the curves and shade the region outside R and inside r. Use a large size graph paper and clearly indicate the points of intersection. Also indicate the values of theta that give one complete cycle for each curve. Discuss the symmetry of each curve. a. b. Calculate the area for the region of overlap that you shaded and described in part a. Show all...
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