20prob11.pdf A MATH 023 Spring 2020, Spring 2 x + nfile.php/3357173/mod_resource/content/26/23Sp20prob11.pdf 1. A wire with density p(x, y, z) surfaces r2 + y? + z2 = 4 and x? + y? + (z - 3)2 = 9 in the first octant. Find the mass of 3x + 3y + 9z, occupies the intersection of the quadric = the wire. 2. GOAL: COMPUTE LINE INTEGRALS. ALSO, A REMINDER OF THE EQUIVALENCE OF THE LINE INTEGRAL NOTATIONS SF.drAND SP(r, y) dr+Q(r, y) dy, WHERE F(x,Y)=D(P(x,y),Q (x, y)) . Consider the vector field plot for F(r, y) = (3-ry) i- r'y*j, where r and y are between 0 and 2. 20 1.5- os/- (a) Draw the line segment from (0,0) to (2, 1). Do you think the line integral will be positive or negative? Explain withont using computation. Do you think F is conservative? Explain your answers carefully.
20prob11.pdf A MATH 023 Spring 2020, Spring 2 x + nfile.php/3357173/mod_resource/content/26/23Sp20prob11.pdf 1. A wire with density p(x, y, z) surfaces r2 + y? + z2 = 4 and x? + y? + (z - 3)2 = 9 in the first octant. Find the mass of 3x + 3y + 9z, occupies the intersection of the quadric = the wire. 2. GOAL: COMPUTE LINE INTEGRALS. ALSO, A REMINDER OF THE EQUIVALENCE OF THE LINE INTEGRAL NOTATIONS SF.drAND SP(r, y) dr+Q(r, y) dy, WHERE F(x,Y)=D(P(x,y),Q (x, y)) . Consider the vector field plot for F(r, y) = (3-ry) i- r'y*j, where r and y are between 0 and 2. 20 1.5- os/- (a) Draw the line segment from (0,0) to (2, 1). Do you think the line integral will be positive or negative? Explain withont using computation. Do you think F is conservative? Explain your answers carefully.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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