Student's Solution and Survival Manual for Calculus
7th Edition
ISBN: 9781524934040
Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J
Publisher: Kendall Hunt Publishing
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Chapter 13.4, Problem 26PS
To determine
To find: The line integral using the Green’s theorem for the curve C.
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Chapter 13 Solutions
Student's Solution and Survival Manual for Calculus
Ch. 13.1 - Prob. 1PSCh. 13.1 - Prob. 2PSCh. 13.1 - Prob. 3PSCh. 13.1 - Prob. 4PSCh. 13.1 - Prob. 5PSCh. 13.1 - Prob. 6PSCh. 13.1 - Prob. 7PSCh. 13.1 - Prob. 8PSCh. 13.1 - Prob. 9PSCh. 13.1 - Prob. 10PS
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- Q 2. Let C₁ be the straight line from the point (1,0) to the point (0, 1) in Figure 1. Let C₂ be an oriented and closed path in Figure 1. (a) (b) Evaluate the line integral of F = 4xi + 2xj along C₁. Evaluate the line integral of F = sin(2x)i + ej along C₂. Figure 1: A closed and oriented patharrow_forward1. Find the slope of the tangent line to the graph r = 4 cos when 0 = dy f'(0) sin 0+ƒ (0) cos 0 formula = [Hint: to write the line, you may do it in rectangular dx f'(0) cos 0-f(0) sin 0 coordinates, but you will have to convert the point on the polar graph to rectangular as well.] 4 You may use thearrow_forward4.2 Calculate the length of the tangent AB drawn from the point A(6; 4) to the circle with equation (x-3)2 + (y + 1)² = 10 QUESTION 5 (FEB/MARCH 2011) (5) [14] The circle, with centre A and equation (x-3)2 + (y + 2)² = 25 is given in the following diagram. B is a y-intercept of the circle. Coordinates of C(6; 2) if C is the reflection of B in the line x-3 5.1 Determine the coordinates of B. 5.2 The circle is enlarged through the origin by a factor of 2 Write down the equation of the new circle, centre A' in the form (4) (x-a)²+(y-b)²=2 (2) 5.3 In addition to the circle with centre A and equation (x-3)² + (y + 2)² = 25, you are given the circle (x - 12)² + (y-10)² = 100 with centre B. 5.3.1 Calculate the distance between the centres A and B. (2) 5.3.2 In how many points do these two circles intersect? Justify your answer. (2) [10] BY MR M. SHABALALA @NOMBUSO Page 40arrow_forward
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