5. (15 points) Consider 3 dz r dr d, 20. a. Convert the integral to rectangular coordinates with the order d: dr dy (but don't evaluate.) b. Convert the integral to spherical coordinates (but...
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
asap please 10 Convert the ts Page 11 of 11 ategral in cylindrical coordinates (do NOT evaluate the integral): (J0p dz dy dr. 10 Convert the ts Page 11 of 11 ategral in cylindrical coordinates (do NOT evaluate the integral): (J0p dz dy dr.
3. Consider the triple integral 2z sin(x2 + y2 +22 - 2x) dy da dz. Set up, but do not evaluate, an equivalent triple integral with the specified integration order. a) (6 pts) da dz dy b) (7 pts) dz dr de (Cylindrical Coordinates) c) (7 pts) dp do do (Spherical Coordinates)
Consider the triple integral LLL 3- 2z sin(x² + y2 + 22 - 2x) dy do dz. -3-2- Set up, but do not evaluate, an equivalent triple integral with the specified integration order. a) (6 pts) do dz dy b) (7 pts) dz dr do (Cylindrical Coordinates) c) (7 pts) dp do do (Spherical Coordinates)
Do not evaluate, rewrite the integral using spherical coordinates 25-x² - y2 1 dz dx dy 05 NUS y=0 X-O Z=o
Convert the given integral to an equivalent integral in cylindrical coordinates and evaluate the result, 15 p/25-x² px² V x2 + y2 dz dy dx Jo
(a) Evaluate the double integral 4. (sin cos y) dy dr. Hint: You may need the formula for integration by parts (b) Show that 4r+6ry>0 for all (r,y) ER-(x,y): 1S2,-2Sysi) Use a double integral to compute the volume of the solid that lies under the graph of the function 4+6ry and above the rectangle R in the ry-plane. e) Consider the integral tan(r) log a dyd. (i) Make a neat, labelled sketch of the region R in the ry-plane over...
I understand the relationship between the formulas of converting rectangular coordinates to spherical coordinates, but i dont understand the math behind it. I find that the cylindrical part makes sense but i dont understand how to find the limits of integration and when or why there are two triple integrands for them as well. im asking for numbers 13 and 15 as they are the only checkable ones on calc chat 12. 25. Find the v Jo Jo 2 26....
Question 15 Convert the triple integr V yzé dz dy dr to cylindrical coordinates. © SE S SA--> »?z? sin º dz dr de So So S4_»(4 – „2)2 sin 0 dz dr de SL S4rz2 sin 0 dz dr de p2z2 sin dz dr do LT S Sone p222 sin 0 dz dr de
In this problem, you are to convert a triple integral in rectangular coordinates into a triple integral in cylindrical coordinates. The problem appears below with boxes labelled H, I, J, K, L, M and N. The multiple choice questions ask you for the ex- pressions or numbers that go in the boxes H, I, J, K, L, M and N, in order. Calculate these before going on to the multiple choice questions so that you have them ready and in...