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 D) 7 8. A vector V1 (x-4, y-4, z-6), which is the angle respect the Z plane A) 52.46_ V 1 B) 36.72_ C) 28.85_ D) 68.20_ 9
Homework Answers
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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...
16. Find the direction of the force between Q1-5uC r1 (x1-2,y1-3,z1-3) and Q2-4uC r2 (x2-2, y2-3,z2-2) A) 0i 0j-1.3k 21 B) OiOj-56k R12 0 c) 0i 0j-1.45k 17. Find the force (vector) between Q1-33uCr1...
16. Find the direction of the force between Q1-5uC r1 (x1-2,y1-3,z1-3) and Q2-4uC r2 (x2-2, y2-3,z2-2) A) 0i 0j-1.3k 21 B) OiOj-56k R12 0 c) 0i 0j-1.45k 17. Find the force (vector) between Q1-33uCr1 (x1-1, y1-2, z1-3) and Q2-63uC r2 (x2-3, y2-3,z2-1) A) .76i .38j -.77k F2 B) .971 48j-.98k R12 C) 1.17i .58j-1.18k D) 1.38i .69-1.39k
16. Find the direction of the force between Q1-5uC r1 (x1-2,y1-3,z1-3) and Q2-4uC r2 (x2-2, y2-3,z2-2) A) 0i 0j-1.3k 21 B) OiOj-56k R12...
In space R^3, we define a scalar product by regulation 〈(x1, y1, z1), (x2, y2, z2)〉...
In space R^3, we define a scalar product by regulation 〈(x1, y1, z1), (x2, y2, z2)〉 = 2x1x2 + y1y2 + 2z1z2 + x1z2 + x2z1. (a) [10] Calculate the perpendicular projection of the point T (1, 1, 1) on the plane U in R3 with the equation x + 2y + 2z = 0 with respect to the given scalar product. (b) [10] Let φ: R^3 → R be a linear functional with φ (x, y, z) = x...
3 Cual es magnitud de E debido a Q1-38 nC r1( x1-1, y1-3, z1-3) y Q2-47_nC...
3 Cual es magnitud de E debido a Q1-38 nC r1( x1-1, y1-3, z1-3) y Q2-47_nC r1( x2-3, y2-5, z2-1 ) en el origen (0,0,0) A) 45.81 N/C B) 24.98 NIC C) 35.18 NIC D) 51.02 NIC r (x1,y1,z1) Q2 r2 (x2,y2,z2) 0 (0,0,0)
Find a normal vector and an equation for the tangent plane to the surface: x3 - y2 - z2 - 2xyz + 6 =0 at the point P : (−2, 1, 3). Determine the equation of the line formed by the intersection of this...
Find a normal vector and an equation for the tangent plane to the surface: x3 - y2 - z2 - 2xyz + 6 =0 at the point P : (−2, 1, 3). Determine the equation of the line formed by the intersection of this plane with the plane x = 0. [10 marks] (b) Find the directional derivative of the function F(x, y, z) = 2x /zy2 , at the point P : (1, −1, −2) in the direction of...
14 Encuentre fuerza (vector) entre Q1 45,UC r1( x1#1, yl 2. z1-3) y 02-59 uC 12(x2-3,...
14 Encuentre fuerza (vector) entre Q1 45,UC r1( x1#1, yl 2. z1-3) y 02-59 uC 12(x2-3, y2-3, 22-1) A) .97İ49-98k B) 1.76i 88j-1.77k C) .97 .48j-98k D) 2.3i 1.15-2.31 k 2t Rt la
Questions. Please show all work. 1. Consider the vector field F(x, y, z) (-y, x-z, 3x + z)and the surface S, which is the part of the sphere x2 + y2 + z2 = 25 above the plane z = 3. Let C be the...
Questions. Please show all work. 1. Consider the vector field F(x, y, z) (-y, x-z, 3x + z)and the surface S, which is the part of the sphere x2 + y2 + z2 = 25 above the plane z = 3. Let C be the boundary of S with counterclockwise orientation when looking down from the z-axis. Verify Stokes' Theorem as follows. (a) (i) Sketch the surface S and the curve C. Indicate the orientation of C (ii) Use the...
All of 10 questions, please. 1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the...
All of 10 questions, please.
1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...
1. Let V be the solid region in R3 that lies within the sphere 2+y+z2-4, above the zy-plane, and ...
please help with Q1 and 3
1. Let V be the solid region in R3 that lies within the sphere 2+y+z2-4, above the zy-plane, and below the cone z -Vx2 + y2 (a) Sketch the region V (b) Calculate the volume of V by using spherical coordinates. (c) Find the surface area of the part of V that lies on the sphere z2 y 24, by calculatinga surface integral. (d) Verify your solution to (c) by calculating the surface integral...
6. Consider the sphere S cut out by z2 + y2 22. Maximize (Daf)P where y, z) 2y +3z and u is a unit vector in the tangent plane to S at the point (A) v3 (E) 2v3 (B) 1+2V2 (C) 2 v3 (G) 3/2 (D) V2...
6. Consider the sphere S cut out by z2 + y2 22. Maximize (Daf)P where y, z) 2y +3z and u is a unit vector in the tangent plane to S at the point (A) v3 (E) 2v3 (B) 1+2V2 (C) 2 v3 (G) 3/2 (D) V2
6. Consider the sphere S cut out by z2 + y2 22. Maximize (Daf)P where y, z) 2y +3z and u is a unit vector in the tangent plane to S at the...
(Complex analysis) Exercise 5. Find the images of the following curves under the linear mapping w = (i + V3)2 + iV3-1, where z = x + iy: a)y=0 b) x = 0 c) 2 y1 d) x2 + y2 + 2y 1 Answer b) v3u c) (11...
(Complex analysis)
Exercise 5. Find the images of the following curves under the linear mapping w = (i + V3)2 + iV3-1, where z = x + iy: a)y=0 b) x = 0 c) 2 y1 d) x2 + y2 + 2y 1 Answer b) v3u c) (11 + 1)2 + (v-V3)2 = 4 d) 11 2 + U2-8
Exercise 5. Find the images of the following curves under the linear mapping w = (i + V3)2 + iV3-1, where...
16. Find the direction of the force between Q1-5uC r1 (x1-2,y1-3,z1-3) and Q2-4uC r2 (x2-2, y2-3,z2-2) A) 0i 0j-1.3k 21 B) OiOj-56k R12 0 c) 0i 0j-1.45k 17. Find the force (vector) between Q1-33uCr1 (x1-1, y1-2, z1-3) and Q2-63uC r2 (x2-3, y2-3,z2-1) A) .76i .38j -.77k F2 B) .971 48j-.98k R12 C) 1.17i .58j-1.18k D) 1.38i .69-1.39k
16. Find the direction of the force between Q1-5uC r1 (x1-2,y1-3,z1-3) and Q2-4uC r2 (x2-2, y2-3,z2-2) A) 0i 0j-1.3k 21 B) OiOj-56k R12...
3 Cual es magnitud de E debido a Q1-38 nC r1( x1-1, y1-3, z1-3) y Q2-47_nC r1( x2-3, y2-5, z2-1 ) en el origen (0,0,0) A) 45.81 N/C B) 24.98 NIC C) 35.18 NIC D) 51.02 NIC r (x1,y1,z1) Q2 r2 (x2,y2,z2) 0 (0,0,0)
14 Encuentre fuerza (vector) entre Q1 45,UC r1( x1#1, yl 2. z1-3) y 02-59 uC 12(x2-3, y2-3, 22-1) A) .97İ49-98k B) 1.76i 88j-1.77k C) .97 .48j-98k D) 2.3i 1.15-2.31 k 2t Rt la
Questions. Please show all work. 1. Consider the vector field F(x, y, z) (-y, x-z, 3x + z)and the surface S, which is the part of the sphere x2 + y2 + z2 = 25 above the plane z = 3. Let C be the boundary of S with counterclockwise orientation when looking down from the z-axis. Verify Stokes' Theorem as follows. (a) (i) Sketch the surface S and the curve C. Indicate the orientation of C (ii) Use the...
All of 10 questions, please.
1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...
please help with Q1 and 3
1. Let V be the solid region in R3 that lies within the sphere 2+y+z2-4, above the zy-plane, and below the cone z -Vx2 + y2 (a) Sketch the region V (b) Calculate the volume of V by using spherical coordinates. (c) Find the surface area of the part of V that lies on the sphere z2 y 24, by calculatinga surface integral. (d) Verify your solution to (c) by calculating the surface integral...
6. Consider the sphere S cut out by z2 + y2 22. Maximize (Daf)P where y, z) 2y +3z and u is a unit vector in the tangent plane to S at the point (A) v3 (E) 2v3 (B) 1+2V2 (C) 2 v3 (G) 3/2 (D) V2
6. Consider the sphere S cut out by z2 + y2 22. Maximize (Daf)P where y, z) 2y +3z and u is a unit vector in the tangent plane to S at the...
(Complex analysis)
Exercise 5. Find the images of the following curves under the linear mapping w = (i + V3)2 + iV3-1, where z = x + iy: a)y=0 b) x = 0 c) 2 y1 d) x2 + y2 + 2y 1 Answer b) v3u c) (11 + 1)2 + (v-V3)2 = 4 d) 11 2 + U2-8
Exercise 5. Find the images of the following curves under the linear mapping w = (i + V3)2 + iV3-1, where...
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