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24. The electric potential in the xy-plane associated with two positive charges, one at (0,1) with twice the magnitude as the charge at (0, - 1) is shown below. Complete parts (a)-(d). 1. P(x,y) = (y+1)2 a. Compute p, and . Compute o. Choose the correct answer below. OA. 2(y-1) y+1 P(x.y) = -- 3 (+y-1) ( y+ 1)°) *B. 2x Px(x.y)= -- 3 (+cy-1) (xP+ (y+1) XC. P(x.y) = 2x +1 y+1 3 (2+ (y+1?)? (x + (y-1*) Compute y. Choose the correct answer below. O A Py (x.y) = 2x (+(y- 1?) (²+(y+ 1)?) О в. Py (x.y) = 2(y-1) y+1 3 2 (? +(y-1) ? (2+(y+1)?) ² OC. Py (x.y) = 2x + 1 y+1 3 3 2 ( + (y+ 1)?)? ( +(y-1)²)² b. Describe how and Py behave as x, y t 0o. As x, yt oo, Px approaches (1). and y approaches (2). - c. Evaluate o, (0,y) for all y# ±1.

24. The electric potential in the xy-plane associated with two positive charges, one at (0,1) with twice the magnitude as the charge at (0, - 1) is shown below. Complete parts (a)-(d). 1. P(x,y) = (y+1)2 a. Compute p, and . Compute o. Choose the correct answer below. OA. 2(y-1) y+1 P(x.y) = -- 3 (+y-1) ( y+ 1)°) *B. 2x Px(x.y)= -- 3 (+cy-1) (xP+ (y+1) XC. P(x.y) = 2x +1 y+1 3 (2+ (y+1?)? (x + (y-1*) Compute y. Choose the correct answer below. O A Py (x.y) = 2x (+(y- 1?) (²+(y+ 1)?) О в. Py (x.y) = 2(y-1) y+1 3 2 (? +(y-1) ? (2+(y+1)?) ² OC. Py (x.y) = 2x + 1 y+1 3 3 2 ( + (y+ 1)?)? ( +(y-1)²)² b. Describe how and Py behave as x, y t 0o. As x, yt oo, Px approaches (1). and y approaches (2). - c. Evaluate o, (0,y) for all y# ±1.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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24. The electric potential in the xy-plane associated with two positive charges, one at (0,1) with twice the magnitude as the charge at (0, - 1) is shown below. Complete parts (a)-(d). P(x,y) = Vx2 + (y-1)2 x? + (y+ 12 a. Compute p, and q. Compute o. Choose the correct answer below. O A. Px (x.y)= - 2(y-1) y+1 3 (+(y-1) *B. Px (x,y) = - 2x 21 (xP + cy + 17*) XC. Px (x,y) = - 2x + 1 y+1 (x? + (y + 1)?) (x? + (y - 1)?) Compute oy. Choose the correct answer below. OA. Py (x.y) = - 2x 3 3 2 (* + (y-1?) ? (x? + y + 1)*) ? O B. Py(x.y) = 2(y-1) y +1 3 (x? + (y- 1)²) Oc. Py (x,.y) = 2x +1 y+1 (? + (y+ 13?) ² (x? + (y-1)) b. Describe how P, and py behave as x, y→t 0o. As x, y →t co, Px approaches (1) and qy approaches (2). c. Evaluate o, (0,y) for all y# ± 1. Px (0,y) = d. Evaluate p, (x,0) for all x. Py Py (x,0) = (1) O - 00 0 1 (2) O - 1. - o. - 1 0. o. 1. 0000
Transcribed Image Text:24. The electric potential in the xy-plane associated with two positive charges, one at (0,1) with twice the magnitude as the charge at (0, - 1) is shown below. Complete parts (a)-(d). P(x,y) = Vx2 + (y-1)2 x? + (y+ 12 a. Compute p, and q. Compute o. Choose the correct answer below. O A. Px (x.y)= - 2(y-1) y+1 3 (+(y-1) *B. Px (x,y) = - 2x 21 (xP + cy + 17*) XC. Px (x,y) = - 2x + 1 y+1 (x? + (y + 1)?) (x? + (y - 1)?) Compute oy. Choose the correct answer below. OA. Py (x.y) = - 2x 3 3 2 (* + (y-1?) ? (x? + y + 1)*) ? O B. Py(x.y) = 2(y-1) y +1 3 (x? + (y- 1)²) Oc. Py (x,.y) = 2x +1 y+1 (? + (y+ 13?) ² (x? + (y-1)) b. Describe how P, and py behave as x, y→t 0o. As x, y →t co, Px approaches (1) and qy approaches (2). c. Evaluate o, (0,y) for all y# ± 1. Px (0,y) = d. Evaluate p, (x,0) for all x. Py Py (x,0) = (1) O - 00 0 1 (2) O - 1. - o. - 1 0. o. 1. 0000
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