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c) The curve C are given in polar coordinates with: r = sin40, 03 VI Make...
just make circle questions which 2,(b) and 3,(i) thank you 2. (Polar Coordinates: Polar Plots). (a) Consider the curve given in polar coordinates (i) Use a scientific calculator to fill in the fol...
just make circle questions which 2,(b) and 3,(i) thank
you
2. (Polar Coordinates: Polar Plots). (a) Consider the curve given in polar coordinates (i) Use a scientific calculator to fill in the following table with the (approximations of) values of the function r(0) on π, π r(e) (the approximations of the values r(e) must be good to at least two decimal places). (i) Use the graph paper for the polar coordinate system (attached to the assignment sheet) to plot the...
AME: 2. (24pts) Consider the curve given in polar coordinates by r-12 cos(0) Vsin(0), (0 0...
AME: 2. (24pts) Consider the curve given in polar coordinates by r-12 cos(0) Vsin(0), (0 0 < #). (i) Make a table of the values of the function f(0)--12 cos(0)/sin(0) /6 /4 n/3 5m/12 m/2 7m/12 2n/3 3n/4 5n/6 11 m/12 f(0) are to be rounded to two decimal places. (Hint. Given on 0, r); all the values f(0) an angle 9, enter the value of 0 to the variable C of your calculator, and then evaluate /(0) using the...
2. a) Show that the (signed) curvature for a curve in polar coordinates (r, 0) is given by where ...
2. a) Show that the (signed) curvature for a curve in polar coordinates (r, 0) is given by where ro denotes do Hint: derive the formulas r-r(0)cosa, y-r(θ)sin θ with respect to θ b) Compute the signed curvature for the cardioid r(0) 1-sin θ Sketch the curve with a suitable plotting tool.
2. a) Show that the (signed) curvature for a curve in polar coordinates (r, 0) is given by where ro denotes do Hint: derive the formulas r-r(0)cosa, y-r(θ)sin...
(V)(15 pts) Find the exact slope of the tangent line to the polar curve r =...
(V)(15 pts) Find the exact slope of the tangent line to the polar curve r = 5+ cos(28) at the point corresponding to B = 7/6. (VI)(20 pts) Find the exact area of the region that lies inside the polar curve r = 1 + 2 cose and outside the circle r = 2.
A curve in polar coordinates is given by: r = 9 + 2 cos θ Point P is at θ = 20π/18
A curve in polar coordinates is given by: r = 9 + 2 cos θ Point P is at θ = 20π/18 (1) Find polar coordinate r for P, with r > 0 and π < θ < 3π/2. (2) Find cartesian coordinates for point P (3) How may times does the curve pass through the origin when 0 < θ < 2π?
5.6 In polar coordinates for R2, define the domain Ω={(r, θ): 0
Question on Partial Differential Equation
5.6 In polar coordinates for R2, define the domain Ω={(r, θ): 0
NAME Q2. (24pts) Consider the eurve given in polar coordinates by 11 sin(0)Veos(). (-/ 2 <...
NAME Q2. (24pts) Consider the eurve given in polar coordinates by 11 sin(0)Veos(). (-/ 2 < e</2) . r 6) Make a table of the values of the function f()- 11 sin(0) /co0) -Se/12)-/3-/4 6-/12 /12 | /6 /4 /3 | 5/12 -/2 tatwatwlaat on 1-r/2./2: all the values f(0) are to be rounded to two decimal places, (Hint. Ciaen an angle 0, enter the value of to the variable C of your caleulator, and then evaluate f(e) using the...
Use a polar coordinate system to plot the point with the given polar coordinates. Then find another representation (r,θ) of this point in which: Use a polar coordinate system to plot the point wi...
Use a polar coordinate system to plot the point with the given
polar coordinates. Then find another representation (r,θ) of this
point in which:
Use a polar coordinate system to plot the point with the given polar coordinates. Then find another representation (r,0) of this point in which: (b) r< 0,0 <θ<2x. Choose the correct graph below. O A O B O C. O D. ピ -5 (a) What are the coordinates of the point for which r > 0,...
(b) You are given the point (2, -1/6) in polar coordinates. (0) Find another pair of...
(b) You are given the point (2, -1/6) in polar coordinates. (0) Find another pair of polar coordinates for this point such that r >0 and 21 < a < 41. r= 2 0 = 23pi/6 (ii) Find another pair of polar coordinates for this point such that r <0 and 0 <o< 27. = -2 0 = 5pi/6 (c) You are given the point (-2, -1/4) in polar coordinates. () Find another pair of polar coordinates for this point...
5. Consider the polar graphs, r = 1-sin θ and r = sin θ , shown in the figure below. Find the p...
5. Consider the polar graphs, r = 1-sin θ and r = sin θ , shown in the figure below. Find the polar coordinates (r, θ) for all the points of intersection on the figure. a) b) Find the area of the region that lies inside both the graph of r-1-sin θ and Find the slope of the line tangent to the graph of r-1-sin θ at θ-- Find a Cartesian equation for the line tangent to the graph of...
just make circle questions which 2,(b) and 3,(i) thank
you
2. (Polar Coordinates: Polar Plots). (a) Consider the curve given in polar coordinates (i) Use a scientific calculator to fill in the following table with the (approximations of) values of the function r(0) on π, π r(e) (the approximations of the values r(e) must be good to at least two decimal places). (i) Use the graph paper for the polar coordinate system (attached to the assignment sheet) to plot the...
AME: 2. (24pts) Consider the curve given in polar coordinates by r-12 cos(0) Vsin(0), (0 0 < #). (i) Make a table of the values of the function f(0)--12 cos(0)/sin(0) /6 /4 n/3 5m/12 m/2 7m/12 2n/3 3n/4 5n/6 11 m/12 f(0) are to be rounded to two decimal places. (Hint. Given on 0, r); all the values f(0) an angle 9, enter the value of 0 to the variable C of your calculator, and then evaluate /(0) using the...
2. a) Show that the (signed) curvature for a curve in polar coordinates (r, 0) is given by where ro denotes do Hint: derive the formulas r-r(0)cosa, y-r(θ)sin θ with respect to θ b) Compute the signed curvature for the cardioid r(0) 1-sin θ Sketch the curve with a suitable plotting tool.
2. a) Show that the (signed) curvature for a curve in polar coordinates (r, 0) is given by where ro denotes do Hint: derive the formulas r-r(0)cosa, y-r(θ)sin...
(V)(15 pts) Find the exact slope of the tangent line to the polar curve r = 5+ cos(28) at the point corresponding to B = 7/6. (VI)(20 pts) Find the exact area of the region that lies inside the polar curve r = 1 + 2 cose and outside the circle r = 2.
Question on Partial Differential Equation
5.6 In polar coordinates for R2, define the domain Ω={(r, θ): 0
NAME Q2. (24pts) Consider the eurve given in polar coordinates by 11 sin(0)Veos(). (-/ 2 < e</2) . r 6) Make a table of the values of the function f()- 11 sin(0) /co0) -Se/12)-/3-/4 6-/12 /12 | /6 /4 /3 | 5/12 -/2 tatwatwlaat on 1-r/2./2: all the values f(0) are to be rounded to two decimal places, (Hint. Ciaen an angle 0, enter the value of to the variable C of your caleulator, and then evaluate f(e) using the...
Use a polar coordinate system to plot the point with the given
polar coordinates. Then find another representation (r,θ) of this
point in which:
Use a polar coordinate system to plot the point with the given polar coordinates. Then find another representation (r,0) of this point in which: (b) r< 0,0 <θ<2x. Choose the correct graph below. O A O B O C. O D. ピ -5 (a) What are the coordinates of the point for which r > 0,...
(b) You are given the point (2, -1/6) in polar coordinates. (0) Find another pair of polar coordinates for this point such that r >0 and 21 < a < 41. r= 2 0 = 23pi/6 (ii) Find another pair of polar coordinates for this point such that r <0 and 0 <o< 27. = -2 0 = 5pi/6 (c) You are given the point (-2, -1/4) in polar coordinates. () Find another pair of polar coordinates for this point...
5. Consider the polar graphs, r = 1-sin θ and r = sin θ , shown in the figure below. Find the polar coordinates (r, θ) for all the points of intersection on the figure. a) b) Find the area of the region that lies inside both the graph of r-1-sin θ and Find the slope of the line tangent to the graph of r-1-sin θ at θ-- Find a Cartesian equation for the line tangent to the graph of...
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