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SELECT A,B,C,or D, for the two problems.
For #14 & 15, find the area of the...
(7) Let 0くa 〈 b 〈 c 〈 d for a,b,c,d R. Consider the set and let D be the region in the r-y plance that is the image...
(7) Let 0くa 〈 b 〈 c 〈 d for a,b,c,d R. Consider the set and let D be the region in the r-y plance that is the image of S under the variable transformation (a) Sketch D in the x-y plane for the case ad - bc > 0. (a) Sketch D in the z-y plane for the case ad-bc 〈 0. (c) Calculate the area of D. Show all working.
(7) Let 0くa 〈 b 〈 c 〈...
13. Use double integrals to find the area inside the curve r = 1 +sin 14. (a) Express f Io ry dy ...
14 only
13. Use double integrals to find the area inside the curve r = 1 +sin 14. (a) Express f Io ry dy dr as an integral over the triangle D, which is the set of (u. v) where 0s u s 1, 0 ssu (HINT: Find a one-to-one mapping T of D onto the glven region of integration.) (b) Evaluate this integral directly and as an integral over D* 15. Integrate ze+ over the cylinder
13. Use double...
Find the simplified equation and draw the circuit. 1)U(A, B, C, D) = ∑m (0, 2, 5, 7, 8, 10, 13, 15) 2)V(A, B, C, D) = ∑m...
Find the simplified equation and draw the circuit. 1)U(A, B, C, D) = ∑m (0, 2, 5, 7, 8, 10, 13, 15) 2)V(A, B, C, D) = ∑m(2, 3, 10, 11) 3)W(A, B, C, D) = ∑m (1, 2, 4, 7, 8, 11, 13, 14) 4)X(A, B, C, D) = ∑m (0, 1, 14, 15) 5)*S (A, B, C, D) = ∑m (2, 4, 5, 6,7, 10, 14)
Find the area of the following surfaces. a) The part of the plane 3z + 2y +z 6 that lies in the f...
Solve c and d Please.
Find the area of the following surfaces. a) The part of the plane 3z + 2y +z 6 that lies in the first octant. b) The part of the cone zVy that lies between the plane y z and the cylinder y-x c) The surface with vector equation r(u, u) = (u . cos(v), u . sin(v), u) , where 0 u 1, 0 v S T. d) The portion of the unit sphere that...
1 point) Show that Φ(u, u) (Au + 2, u-u, 7u + u) parametrizes the plane 2x -y-z = 4, Then (a) Calculate Tu T,, and n(u, v). þ(D), where D = (u, u) : 0 < u < 9,0 < u < 3. (b) Find the area...
1 point) Show that Φ(u, u) (Au + 2, u-u, 7u + u) parametrizes the plane 2x -y-z = 4, Then (a) Calculate Tu T,, and n(u, v). þ(D), where D = (u, u) : 0 < u < 9,0 < u < 3. (b) Find the area of S (c) Express f(x, y, z in terms of u and v and evaluate Is f(x, y,z) ds. (a) Tu n(u,v)- T, (b) Area(S)- (c) JIs f(z, y,2) ds-
1 point)...
Ework assignments. Please see the course syllabus for This one is due at the beginning 1. (5 pts....
ework assignments. Please see the course syllabus for This one is due at the beginning 1. (5 pts.) TRUE OR FALSE: (a) Let R denote a plane region, and (u,v) (u(,y),v)) be a different set of coordinates for the Cartesian plane. Then for any function F(u,v) F(u, v)dudvF(u(r, y),v(x, y))dzdy (b) Let R denote a plane region, and (u, v) (u(r, w),v(x, y)) be a different set of coordinates for the Cartsian plane. Then do (c) Let R denote a...
4. Let D be a region in the (ar,y)-plane. If a, b,c > 0, let S...
4. Let D be a region in the (ar,y)-plane. If a, b,c > 0, let S be the part of the hyperbolic paraboloid ary in R3 with (r, y) E D, and let Thc be the part of the elliptic paraboloid :-bz2 + суг in R3 with (z, y) E D. For a given a >0, find b,>0 such that The has the same area as S
2. Find the force (vector) between Q1-40uC r1 (x1-2,y1-2,z1-3) and Q2-47uCr2 (x2-3,y2-3,z2-1) A) .68i 34j -69k B) 1.25 .62j-1.26k 12 0 Fi C) 1.44i .72-145k D) 1.06i .53j-1.07k 5. When the coordinates...
2. Find the force (vector) between Q1-40uC r1 (x1-2,y1-2,z1-3) and Q2-47uCr2 (x2-3,y2-3,z2-1) A) .68i 34j -69k B) 1.25 .62j-1.26k 12 0 Fi C) 1.44i .72-145k D) 1.06i .53j-1.07k 5. When the coordinates of a system don't have components over the coordinates, we determine that they are D. Rectangular A. Orthogonal C. Inclusive 7. A vector V1 (x=4, y-6, z-8), which is the magnitude of the projection on the YZ plane A) 10 X 1 V 1 B) 8.5 C 13...
Let 0 < a <b<e<d for a, b, c, d E R. Consider the set S={(u, ujo < u < 1, 0<u<1) and let D be t...
Let 0 < a <b<e<d for a, b, c, d E R. Consider the set S={(u, ujo < u < 1, 0<u<1) and let D be the region in the r-y plance that is the image of S under the variable transformation (a) Sketch D in the r-y plane for the case ad - be>0. (a) Sketch D in the r-y plane for the case ad - be < 0. (c) Calculate the area of D. Show all working.
(7) Let 0くa 〈 b 〈 c 〈 d for a,b,c,d R. Consider the set and let D be the region in the r-y plance that is the image of S under the variable transformation (a) Sketch D in the x-y plane for the case ad - bc > 0. (a) Sketch D in the z-y plane for the case ad-bc 〈 0. (c) Calculate the area of D. Show all working.
(7) Let 0くa 〈 b 〈 c 〈...
14 only
13. Use double integrals to find the area inside the curve r = 1 +sin 14. (a) Express f Io ry dy dr as an integral over the triangle D, which is the set of (u. v) where 0s u s 1, 0 ssu (HINT: Find a one-to-one mapping T of D onto the glven region of integration.) (b) Evaluate this integral directly and as an integral over D* 15. Integrate ze+ over the cylinder
13. Use double...
Solve c and d Please.
Find the area of the following surfaces. a) The part of the plane 3z + 2y +z 6 that lies in the first octant. b) The part of the cone zVy that lies between the plane y z and the cylinder y-x c) The surface with vector equation r(u, u) = (u . cos(v), u . sin(v), u) , where 0 u 1, 0 v S T. d) The portion of the unit sphere that...
1 point) Show that Φ(u, u) (Au + 2, u-u, 7u + u) parametrizes the plane 2x -y-z = 4, Then (a) Calculate Tu T,, and n(u, v). þ(D), where D = (u, u) : 0 < u < 9,0 < u < 3. (b) Find the area of S (c) Express f(x, y, z in terms of u and v and evaluate Is f(x, y,z) ds. (a) Tu n(u,v)- T, (b) Area(S)- (c) JIs f(z, y,2) ds-
1 point)...
ework assignments. Please see the course syllabus for This one is due at the beginning 1. (5 pts.) TRUE OR FALSE: (a) Let R denote a plane region, and (u,v) (u(,y),v)) be a different set of coordinates for the Cartesian plane. Then for any function F(u,v) F(u, v)dudvF(u(r, y),v(x, y))dzdy (b) Let R denote a plane region, and (u, v) (u(r, w),v(x, y)) be a different set of coordinates for the Cartsian plane. Then do (c) Let R denote a...
4. Let D be a region in the (ar,y)-plane. If a, b,c > 0, let S be the part of the hyperbolic paraboloid ary in R3 with (r, y) E D, and let Thc be the part of the elliptic paraboloid :-bz2 + суг in R3 with (z, y) E D. For a given a >0, find b,>0 such that The has the same area as S
2. Find the force (vector) between Q1-40uC r1 (x1-2,y1-2,z1-3) and Q2-47uCr2 (x2-3,y2-3,z2-1) A) .68i 34j -69k B) 1.25 .62j-1.26k 12 0 Fi C) 1.44i .72-145k D) 1.06i .53j-1.07k 5. When the coordinates of a system don't have components over the coordinates, we determine that they are D. Rectangular A. Orthogonal C. Inclusive 7. A vector V1 (x=4, y-6, z-8), which is the magnitude of the projection on the YZ plane A) 10 X 1 V 1 B) 8.5 C 13...
Let 0 < a <b<e<d for a, b, c, d E R. Consider the set S={(u, ujo < u < 1, 0<u<1) and let D be the region in the r-y plance that is the image of S under the variable transformation (a) Sketch D in the r-y plane for the case ad - be>0. (a) Sketch D in the r-y plane for the case ad - be < 0. (c) Calculate the area of D. Show all working.
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