With the following descriptions in cylindrical coordinates: 3. Sketch the surfaces a) 3
Need help with both of these... Thanks 3. Write the equation+ cylindrical coordinates and (b) spherical coordinates. 1 in (a) 4. Sketch the solid described by the given inequalities. For help with visualizing Spherical Restrictions: https://ggbm.at/hhh8wgpc 1< p3 and 00 2 2 tY 3. Write the equation+ cylindrical coordinates and (b) spherical coordinates. 1 in (a) 4. Sketch the solid described by the given inequalities. For help with visualizing Spherical Restrictions: https://ggbm.at/hhh8wgpc 1
1. Use cylindrical coordinates to SET UP the integral for the volume of the portion of the unit ball, 22 +232 + x2 < 1, above the plane z = 12 2. (a) Write in spherical coordinates the equations of the following surfaces: (i) x2 + y2 + x2 = 4 (ii) z = 3x2 + 3y2 (b) SET UP the integral in spherical coordinates for the volume of the solid inside the surface 22 + y2 + x2 =...
Find the volume of the solid bounded by the graphs of the surfaces given in cylindrical coordinates: p2 + x2 = 25 and r = 5 cos 0.
HW 4(II) - Triple Integrals (Cylindrical+Spherical) (1) Sketch E and then use cylindrical coordinates to evaluate /// f(x,y,z) dv. (@) 12,90 (b) y (c) f(x, y, z) = y; E:x2 + y2 <1,x > 0, y = 0,05252 (d) f(x,y,z) = x E: x2 + y2 <z 59
3. Convert the integral from rectangular coordinates to both cylindrical an spherical coordinates, and evaluate the simplest iterated integral. 1 1-y2 3. Convert the integral from rectangular coordinates to both cylindrical an spherical coordinates, and evaluate the simplest iterated integral. 1 1-y2
Dynamic 4. Compare rectangular coordinates with polar coordinates and cylindrical coordinates. Rectangular Cylindrical Polar X, Y. Z R 5. For a circular motion, what are the normal and tangential components of the acceleration in the polar coordinates. Normal component ? Tangential component ? m 4. Compare rectangular coordinates with polar coordinates and cylindrical coordinates. Rectangular Cylindrical Polar X, Y. Z R 5. For a circular motion, what are the normal and tangential components of the acceleration in the polar coordinates....
Find the distance P1P2 vector between P1 (1, 2, 3) and P2 (-1, -2, 3) in Cartesian coordinates, cylindrical coordinates, AND spherical coordinates.
Q4 only: Question 3. Consider the region of R3 given by V is bounded by three surfaces. Si is a disc of radius 1 in the plane z -0. S3 is a disc of radius 2 in the plane z 3 and a) Make a clear sketch of V. (Hint: You could consider the cross-section of S2 with y-0, and then use the circular symmetry. (b) Express V in cylindrical coordinates. (c) Calculate the volume of V, working in cylindrical...
6. Set up a triple integral using cylindrical or spherical coordinates to find the volume of the solid that lies between the surfaces 2 - 27- 2x - 2y' and 2=x-v Evaluate one of your triple integrals to find the exact volume of this solid.
angular momentum components in cylindrical coordinates Find Mr, My. Mz, M2 in cylindrical coordinates (ρ, φ, z).