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Multivariable Calculus M273 Page 4 of 4 Section 17.1 5. (1 Bonus Credit) ExTRA CREDIT. Fix >0. Co...
2. EXTRA CREDIT OPTION: GREEN'S THEOREM Fix θ > 0, Consider the region A bounded by the straight ...
2. EXTRA CREDIT OPTION: GREEN'S THEOREM Fix θ > 0, Consider the region A bounded by the straight line segment from (0,0) to (1,0), the portion of the hyperbola parametrized by r(t) (cosh(t), sinh(t)) for 0 t 0, and the straight line segment from P-(cosh(9), sinh(9) back to the origin. Using the vector field F-1/2(-y,z) and Green's Theorem, find the area of A in terms of θ. Show all work in an organized, well-written manner for full credit.
2. EXTRA...
Multivariable Calculus M273 Section 15.3 Page 4 of 4 5. Evaluate the integrals (a) (1 Credit) e d...
Multivariable Calculus M273 Section 15.3 Page 4 of 4 5. Evaluate the integrals (a) (1 Credit) e dV, where E ((, y, z) 10yS 1,0 S v,0 Szsv. (b) (1 Credit) /// У dV, where E lies under the plane z = x + 2y and above the region in the zy-plane bounded by the curves y- r2,y 0 and z1. Multivariable Calculus M273 Section 15.3 5. Evaluate the integrals. (a) (1 Credit)e V, where E- (r, y, 2) l0...
Exam#2 Math185_GWC, Spring 2019 Lshells (for all parts a, b and e) to find the v -x2 + 1 , y-19-х", x-0, fix > 0...
Exam#2 Math185_GWC, Spring 2019 Lshells (for all parts a, b and e) to find the v -x2 + 1 , y-19-х", x-0, fix > 0 5) (16 points) Use the method of evlindrical shells (for all partis 19Xx the solid obtained by rotating the region bounded by y about on bounded byay -llparts y b and c to find (5 points) a. the y-axis. (Set up the integral to find the volume, but do not evaluate) (4 points) the line...
q4 please thanks (1) Let A - (0,0), B- (1,1) and consider the veetor field f(r,...
q4 please thanks
(1) Let A - (0,0), B- (1,1) and consider the veetor field f(r, y,z)vi+aj. Evaluate the line integral J f.dr )along the parabola y from A to B and (i)along the straight line from A to B. Is the vector field f conservative? (2) For the vector feld f # 22(r1+ gd) + (x2 + y2)k use the definition of line integral to (3) You are given that the vector field f in Q2 is conservative. Find...
Math 32-_ Multivariable Calculus HW 3 (1) Consider the two straight lines L1 : (2-t, 3...
Math 32-_ Multivariable Calculus HW 3 (1) Consider the two straight lines L1 : (2-t, 3 + 2t,-t) and L2 : <t,-2 + t, 7-20 a) Verify that L1 and L2 intersect, and find their point of intersection. (b) Find the equation of the plane containing L1 and L2 (2) Consider the set of all points (a, y, z) satisfying the equation 2-y2+220. Find their intersection 0 and 2-0. Use that information to sketch a with the planes y =-3,-2,-1,0,...
cannot figure out how to write the integrals for this problem #2 1. If glx) -2x and fx) - , find the area of the region enclosed by the two graphs. Show a work for full credit. (4 pts) 2. A:12-...
cannot figure out how to write the integrals for this
problem #2
1. If glx) -2x and fx) - , find the area of the region enclosed by the two graphs. Show a work for full credit. (4 pts) 2. A:12-80% 3 3 2 Let fix)-. Let R be the region in the first quadrant bounded by the gruph of y - f(x) and the vertical line x # l, as shown in the figure above. (a) Write but do...
Multivariable Calculus help with the magnitude of angular momentum: My questions is exercise 4 but I have attached exercise 1 and other notes that I was provided 4 Exercise 4. In any mechanics proble...
Multivariable Calculus help with the magnitude of angular
momentum: My questions is exercise 4 but I have attached exercise 1
and other notes that I was provided
4 Exercise 4. In any mechanics problem where the mass m is constant, the position vector F sweeps out equal areas in equal times the magnitude of the angular momentum ILI is conserved (Note: be sure to prove "if and only if") (Note: don't try to use Exercise 2 in the proof of...
worth 1 point. 15 points maximum) Extra Credit Answer the following questions. (Each blan From the data oblained on page 4 in problems 4150, use the Schefje test to determine which of the three...
worth 1 point. 15 points maximum) Extra Credit Answer the following questions. (Each blan From the data oblained on page 4 in problems 4150, use the Schefje test to determine which of the three treatments are significantly different from each other. The last blank in each comparison is to show either "significant" or "not significant" Treatment 1 vs. Treatment 2 Conclusion: Treatment 1 vs. Treatment 3 Conclusion: Treatment 2 vs. Treatment 3 Conclusion: For problems # 40-39, refer to the...
2. EXTRA CREDIT OPTION: GREEN'S THEOREM Fix θ > 0, Consider the region A bounded by the straight line segment from (0,0) to (1,0), the portion of the hyperbola parametrized by r(t) (cosh(t), sinh(t)) for 0 t 0, and the straight line segment from P-(cosh(9), sinh(9) back to the origin. Using the vector field F-1/2(-y,z) and Green's Theorem, find the area of A in terms of θ. Show all work in an organized, well-written manner for full credit.
2. EXTRA...
Multivariable Calculus M273 Section 15.3 Page 4 of 4 5. Evaluate the integrals (a) (1 Credit) e dV, where E ((, y, z) 10yS 1,0 S v,0 Szsv. (b) (1 Credit) /// У dV, where E lies under the plane z = x + 2y and above the region in the zy-plane bounded by the curves y- r2,y 0 and z1. Multivariable Calculus M273 Section 15.3 5. Evaluate the integrals. (a) (1 Credit)e V, where E- (r, y, 2) l0...
Exam#2 Math185_GWC, Spring 2019 Lshells (for all parts a, b and e) to find the v -x2 + 1 , y-19-х", x-0, fix > 0 5) (16 points) Use the method of evlindrical shells (for all partis 19Xx the solid obtained by rotating the region bounded by y about on bounded byay -llparts y b and c to find (5 points) a. the y-axis. (Set up the integral to find the volume, but do not evaluate) (4 points) the line...
q4 please thanks
(1) Let A - (0,0), B- (1,1) and consider the veetor field f(r, y,z)vi+aj. Evaluate the line integral J f.dr )along the parabola y from A to B and (i)along the straight line from A to B. Is the vector field f conservative? (2) For the vector feld f # 22(r1+ gd) + (x2 + y2)k use the definition of line integral to (3) You are given that the vector field f in Q2 is conservative. Find...
Math 32-_ Multivariable Calculus HW 3 (1) Consider the two straight lines L1 : (2-t, 3 + 2t,-t) and L2 : <t,-2 + t, 7-20 a) Verify that L1 and L2 intersect, and find their point of intersection. (b) Find the equation of the plane containing L1 and L2 (2) Consider the set of all points (a, y, z) satisfying the equation 2-y2+220. Find their intersection 0 and 2-0. Use that information to sketch a with the planes y =-3,-2,-1,0,...
cannot figure out how to write the integrals for this
problem #2
1. If glx) -2x and fx) - , find the area of the region enclosed by the two graphs. Show a work for full credit. (4 pts) 2. A:12-80% 3 3 2 Let fix)-. Let R be the region in the first quadrant bounded by the gruph of y - f(x) and the vertical line x # l, as shown in the figure above. (a) Write but do...
Multivariable Calculus help with the magnitude of angular
momentum: My questions is exercise 4 but I have attached exercise 1
and other notes that I was provided
4 Exercise 4. In any mechanics problem where the mass m is constant, the position vector F sweeps out equal areas in equal times the magnitude of the angular momentum ILI is conserved (Note: be sure to prove "if and only if") (Note: don't try to use Exercise 2 in the proof of...
worth 1 point. 15 points maximum) Extra Credit Answer the following questions. (Each blan From the data oblained on page 4 in problems 4150, use the Schefje test to determine which of the three treatments are significantly different from each other. The last blank in each comparison is to show either "significant" or "not significant" Treatment 1 vs. Treatment 2 Conclusion: Treatment 1 vs. Treatment 3 Conclusion: Treatment 2 vs. Treatment 3 Conclusion: For problems # 40-39, refer to the...
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