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3. Polar Coordinates. (a) Given a rectangular coordinate point (x, y), how do you compute the...
3. Polar Coordinates. (a) Given a rectangular coordinate point (x, y), how do you compute the equivalent polar coordinates: (r, 0)? (b) Given a polar coordinate (r, o), how do you compute the equivalent rectangular coordinate: (x, y)? (c) Consider the drawing in Figure 1. Compute the coordinate of each small circle. (d) What if the circle is centered at the point (cx, cy) (and not the origin). How does the formula change?
Part (b) only, The Cartesian coordinates of a point are given. (a) (-6, 6) (i) Find...
Part (b) only,
The Cartesian coordinates of a point are given. (a) (-6, 6) (i) Find polar coordinates (r, 0) of the point, where r> 0 and 0 5 0 < 21. (6, 6) = ( 6v2, 37 (ii) Find polar coordinates (r, O) of the point, where r<0 and 0 S 0 < 21. (5, 6) = ( -622, 71 (b) (3,3V3) (i) Find polar coordinates (r, 0) of the point, where r>0 and 0 = 0 < 21....
Please help with 3, 4, and 5. Really need help with all 3 problems please. Page...
Please help with 3, 4, and 5. Really need help with
all 3 problems please.
Page 2 of 5 Name 3. (8 points) Find the position of n moving particle whose acceleration at time I is given bw the vector function a(t) = -costi - & sin(21) j. the initial position is given by the vector r(0) = li. and the initial velocity is given by the vector v(0) -i + 4j+k 1. (6 points) Describe the graph of the...
(3 points) (a) The Cartesian coordinates of a point are (-1,-V3) (i) Find polar coordinates (r,0) of the point, where r > 0 and 0 < θ < 2π. (ii) Find polar coordinates (r,0) of the point, wh...
(3 points) (a) The Cartesian coordinates of a point are (-1,-V3) (i) Find polar coordinates (r,0) of the point, where r > 0 and 0 < θ < 2π. (ii) Find polar coordinates (r,0) of the point, where r < 0 and 0 < θ < 2π. Y= (b) The Cartesian coordinates of a point are -2,3) (i) Find polar coordinates (r,0) of the point, where r > 0 and 0 < θ < 2π. (ii) Find polar coordinates (r,0)...
thats all no more information. 36. Question Details LarCalc11 10.R.065 My No The rectangular coordinates of a point are given. Plot the point -1,2) -42 -2 -2 Find two sets of polar coordinates for the...
thats all no more information.
36. Question Details LarCalc11 10.R.065 My No The rectangular coordinates of a point are given. Plot the point -1,2) -42 -2 -2 Find two sets of polar coordinates for the point for 0 smaller 8-value r, 6)- larger 9 value)- θく2 (Round your answers to three decimal places.) 37. Question Details LaiCalc11 10.R 107 МУ Notes Use a graphing utility to graph the polar equation. common intariar of r - 4 -2 sin( and4+2 sin(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...
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...
The Cartesian coordinates of a point are given. (2, −5) (i) Find polar coordinates (r, θ)...
The Cartesian coordinates of a point are given. (2, −5) (i) Find polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π. (r, θ) = (ii) Find polar coordinates (r, θ) of the point, where r < 0 and 0 ≤ θ < 2π. (r, θ) =
Number 4 Please 3. In example 4.7, the graph (a traced out with 0<8< . with 7 27 would produce the same full circ...
Number 4 Please
3. In example 4.7, the graph (a traced out with 0<8< . with 7 27 would produce the same full circle. Explain why graphing r s coordinate sy a new 4. Two possible advantages of introducing making previous problems easier to solve and allowin problems which the polar equation is simpler than the rectangular equa tion. Give two examples of polar graphs for which you have tem are examples of graphs fo to be solved. Give two...
You are given the metric of a 4-dimensional Einstein universe in terms of spherical polar coordinates r, 0, ø, -dt2e20(...
You are given the metric of a 4-dimensional Einstein universe in terms of spherical polar coordinates r, 0, ø, -dt2e20(1) dr2 +r2 (d02 + sin2 0dp2), ds2 (a) Use the variational principle 2 ds dA 0, dA to find the geodesic equation for r with parameter A, between given points X1 and A2. (b) Deduce or otherwise show that Г — Ф", Ге — —re 20, To= -rsin2 Oe-24 rr =0 if uv and T T
You are given the...
3. Polar Coordinates. (a) Given a rectangular coordinate point (x, y), how do you compute the equivalent polar coordinates: (r, 0)? (b) Given a polar coordinate (r, o), how do you compute the equivalent rectangular coordinate: (x, y)? (c) Consider the drawing in Figure 1. Compute the coordinate of each small circle. (d) What if the circle is centered at the point (cx, cy) (and not the origin). How does the formula change?
Part (b) only,
The Cartesian coordinates of a point are given. (a) (-6, 6) (i) Find polar coordinates (r, 0) of the point, where r> 0 and 0 5 0 < 21. (6, 6) = ( 6v2, 37 (ii) Find polar coordinates (r, O) of the point, where r<0 and 0 S 0 < 21. (5, 6) = ( -622, 71 (b) (3,3V3) (i) Find polar coordinates (r, 0) of the point, where r>0 and 0 = 0 < 21....
Please help with 3, 4, and 5. Really need help with
all 3 problems please.
Page 2 of 5 Name 3. (8 points) Find the position of n moving particle whose acceleration at time I is given bw the vector function a(t) = -costi - & sin(21) j. the initial position is given by the vector r(0) = li. and the initial velocity is given by the vector v(0) -i + 4j+k 1. (6 points) Describe the graph of the...
(3 points) (a) The Cartesian coordinates of a point are (-1,-V3) (i) Find polar coordinates (r,0) of the point, where r > 0 and 0 < θ < 2π. (ii) Find polar coordinates (r,0) of the point, where r < 0 and 0 < θ < 2π. Y= (b) The Cartesian coordinates of a point are -2,3) (i) Find polar coordinates (r,0) of the point, where r > 0 and 0 < θ < 2π. (ii) Find polar coordinates (r,0)...
thats all no more information.
36. Question Details LarCalc11 10.R.065 My No The rectangular coordinates of a point are given. Plot the point -1,2) -42 -2 -2 Find two sets of polar coordinates for the point for 0 smaller 8-value r, 6)- larger 9 value)- θく2 (Round your answers to three decimal places.) 37. Question Details LaiCalc11 10.R 107 МУ Notes Use a graphing utility to graph the polar equation. common intariar of r - 4 -2 sin( and4+2 sin(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...
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...
Number 4 Please
3. In example 4.7, the graph (a traced out with 0<8< . with 7 27 would produce the same full circle. Explain why graphing r s coordinate sy a new 4. Two possible advantages of introducing making previous problems easier to solve and allowin problems which the polar equation is simpler than the rectangular equa tion. Give two examples of polar graphs for which you have tem are examples of graphs fo to be solved. Give two...
You are given the metric of a 4-dimensional Einstein universe in terms of spherical polar coordinates r, 0, ø, -dt2e20(1) dr2 +r2 (d02 + sin2 0dp2), ds2 (a) Use the variational principle 2 ds dA 0, dA to find the geodesic equation for r with parameter A, between given points X1 and A2. (b) Deduce or otherwise show that Г — Ф", Ге — —re 20, To= -rsin2 Oe-24 rr =0 if uv and T T
You are given the...
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