The result of transforming the equation r2 = 8 rcos( 0) + 3 rsin( e) from...
Question 4 Consider the polar coordinates change of variables: -rcos,y= rsin 0 Consider u = u(x,y). 1. Compute and 2. Pind the general and particular solution to the PDE: Tu, + yuy 2.2? + 2y?, on the domain D= {(x, y)|x+ vº > 0). with the extra condition u(x, y) y on the curve rº + y2 + 1.
Convert the polar equation to rectangular form and sketch its graph. r = 7 cot(0) csc(O) Step 1 The polar coordinates (r, e) of a point are related to the rectangular coordinates (x, y) of the point as follows. x=rcos(0) cos y = r sin(0) sin e Step 2 The given polar equation can be rewritten as follows. r 7 cote csco 1 r = 7 coto sino 2 sin(0) = 7 coto Converting to rectangular coordinates using x =...
The letters rand represent polar coordinates. Write the following equation using rectangular coordinates (x,y). 2 = 14 cos e NICO The equation using rectangular coordinates (x,y) is (x² + y2) 14x =0. r2 = 14cos R(+² ) = K (14 cos ) R² = 14R Coso (R2) 3/4 = 14 Rcoso (x² + y2 %=148 -14 -14 (x² + y2 3%2_14=0 mistake? Did I make a Thank you
#49,53,57
3- lar coordinates to polar coordinates will Polar Coordinates Convert blar coordinates with r> 0 and the ove describe of the the rectangular con 050<27. 37. (-1,1) be app 39. (V8, V8) 41. (3.4) 38. (3V3,-3) 40. (-V6, -V2) 42. (1,-2) 44. (0, -V3) your a (a) Yo (b) YO 43. (-6,0) Rectangular Equations to Polar Equations Convert the equation to polar form. 45. x = y *.47. y = x² 49. x = 4 46. x² + y2...
matlab code please
0 solutions submitted (max Unlimited) Problem2 A staircase of height h is modeled by the parametric equations: x = rcos(1) y = rsin(1) -=- trix where r=h[2 + 5 sin(1/8)]/10, n=4, and h 50m is the staircase height. Make a 3-D plot (shown) of the staircase. (Create a vector , for the domain 0 to 2π and use the pi1ot3 command.) so so nd ion Your Script em of 11% iength of vector t is 40e, use,...
Write the equation with rectangular coordinates. r2 = 5 cos20 a. (x2 + y2)2 = 5(x2 + y2) ob. (x2 + y2)2 = 6(x2 –y?) Oc. (x² + y2)2 = 6(x2+y?) O d. (x+y?)? = 6(x2-y?) O e. (x2+x2)? = 5(x2-y2)
coondinates all the polar the polnt Cartesian coondinates of the given point 13) B) a, 0) ๑ (.3, 0) Find the polar coordinates, os02n and ro, of the point given in Cartesian coordinates. 14) 14) (-2, 0) Replace the polar equation with an equivalent Cartesian equation. 15) 15) rcos θ" 11 D) 1ly-1 B) 11x -1 A)x 11 FORM A
coondinates all the polar the polnt Cartesian coondinates of the given point 13) B) a, 0) ๑ (.3, 0) Find...
Directions: In 7-10, determine the rectangular equation given its polar form. 17] r = 9 C. x² + y2 = 81 D. x + y = 9 A. x² + y2 = 3 B. x + y2 = 9 [8] r = -179csc D. y = 179 E. none of these A. x = -179 B. x = 179 C. y = -179 [9] @ - 7 V3 A. y = 13 3 B. y = х X c. y...
Problem 7 If A cos 0,+B sin oft = rsin(0 -0) = R cos(t-8), (a) determiner and in terms of A and B , and (b) the relationship among R,r, 8 and 2 Ans. (a) r = VA’ + Bº, tan 0 4 b)r=R, 0 = 8-5, tan tan 8 +1 = 0 Problem 8 (a) Define the steady state solution of a given SLDE. (b) Consider the motion of a 2-kg mass in a (m,c,k)-system under a cyclic load....
Consider the differential equation y" + 8y' + 15 y=0. (a) Find r1 r2, roots of the characteristic polynomial of the equation above. = 11, 12 M (b) Find a set of real-valued fundamental solutions to the differential equation above. yı(t) M y2(t) M (C) Find the solution y of the the differential equation above that satisfies the initial conditions y(0) = 4, y(0) = -3. g(t) = M (10 points) Solve the initial value problem y" - 54' +...