Directions: In 1-6, determine the polar form of the given rectangular equation. [1] 36x² + 36y²...
Directions: In 1-6, determine the polar form of the given rectangular equation. [1] 36x +36y? - 3600 A. 0 = 360° B. = 100 c. r= -10 D. r = 36 E. none of these [2] 16x - 5y = 20 A. - 16 -5 cos 8 + 20 sine B. = -5 20 cose + 16 sin C. r = 20 16 cos @ Ssine D. @ = tan 16 5 72.646° E. none of these [3] y =...
Directions: In 1-6, determine the polar form of the given rectangular equation. (1) 36x² + 36y2 = 3600 A. 6 = 360° B. r=100 c. r=-10 D. r = 36 E. none of these [2] 16x - 5y = 20 A = 16 -5 cose + 20sine B. = 20cos 8 + 16 sine C. 20 16 cos8 - 5sin 8 D. 8 = tan * 72.646 E. none of these [3] y = x A. 0-45° B. 0-45° c....
The general solution of y(1) – 5y" – 36y = 0) is: (a) y = Cicos 3x + C2 sin 3x + C3e2x + C4e-20 (b) y=Ci cos 3x + C2 sin 3x + C3 cos 2x + C4 sin 2.0 (e) y=Cicos 2x + C2 sin 2x + C3e3x + Cae-31 (d) y=Cicos 2x + C2 sin 2x + C3e3x + Caxe3r (e) None of the above.
Directions: In 7-10, determine the rectangular equation given its polar form. [7] = 9 A. x + y2 = 3 B. x + y2 = 9 c. x + y2 = 81 D. x + y = 9 [8] r = -179csce A. X = -179 B. x = 179 c. y = -179 D. y = 179 E. none of these 1918- 3 13 A. y = B. y = C. y = - 13x D. y = 13x...
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...
Directions: In 7-10, determine the rectangular equation given its polar form. [7] = 9 A. x + y2 = 3 B. x + y2 = 9 C. x² + y2 = 81 D. x + y = 9 [8] r = - 179csce A. X = -179 B. x = 179 c. y = -179 D. y = 179 E. none of these [9] @ = 13 A. y =- 13 3 x B.y = c. y = -13 D....
1. (20) For each question, determine the form of y, for the given DE. Do not solve for A,B,C,... Write your answer in the box. (a) y" - 58/ + 6y - 11 cos 4t Ye = ciel + 2 (b) y" - 5y' +6y=4r?+3 Ye = cle* + e- (c) y" - 5y +6y=-7x*B Ye = ce + c3e2- Yp = (d) y" – 5y + 6y = -7?e22 Yc = Cier + cze? Yp = (e) y" -...
Consider the following Polar Graphs: Figure 1 is below: Figure 2 is below: Polar Axis b* Polar Axis Figure 3 is below: Figure 4 is below: If ifik 1001kle Polar Axis Polar Axis Figure 5 is below: Figure 6 is below: Polar Axis Polar Axis Figure 7 is below: Figure 8 is below: Polar Polar Axis | Ε Figure 9 is below: Figure 10 is below: 18181% a d Polar Axis" Polar Axis Figure 11 is below: Figure 12 is...
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 =...
Identify each of the following curves using the capital letters A, B, C, D, E, F or G where the letters correspond to (A) cardioid; (B) rose; (C) lemniscate; (D) limacon; (E) circle; (F) line; (G) none of these: (1) r=2sin(2θ) r 2 sin 2 θ (2) r2=2cos(2θ) r 2 2 cos 2 θ (3) r=5cos(60∘) r 5 cos 60 (4) r=5sin(8θ) r 5 sin 8 θ (5) rθ=3 r θ 3 (6) r2=9cos(2θ−π/4) r 2 9 cos 2 θ...