3. Convert the integral from rectangular coordinates to both cylindrical an spherical coordinates...
NOTE:
in spherical coordinates the volume is obtained by the sum of 2
iterated integrals
Also, please do your best with the handwriting. Thank you very
much :)
Part 1 Convert the rectangular coordinate integral to cylindrical coordinates and spherical coordinates and evaluate the simplest iterated integral: 13 x dz dy dx 14 x2+ y? dz dy de
Part 1 Convert the rectangular coordinate integral to cylindrical coordinates and spherical coordinates and evaluate the simplest iterated integral: 13 x dz...
Write neat please. Show step by step please. Show steps for the
equation please. Box in answers please
from rectangular coordinates to both cylindrical and and evaluate the simplest iterated integral.
from rectangular coordinates to both cylindrical and and evaluate the simplest iterated integral.
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....
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 don't evaluate.)
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 don't evaluate.)
5. (2 points) Let S be the solid inside both x2+y2 = 16 and x2+y2 + z2 = 32. Consider (a) Write an iterated integral for the triple integral in rectangular coordinates. (b) Write an iterated integral for the triple integral in cylindrical coordinates. (c) Write an iterated integral for the triple integral in spherical coordinates. (d) Evaluate one of the above iterated integrals.
5. (2 points) Let S be the solid inside both x2+y2 = 16 and x2+y2 +...
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) Write the iterated integral in rectangular coordinates that gives the surface area of the graph of x + y2 + 2z = 1, R = {(x,y) x² + y² 1} b) Evaluate this integral by changing to polar coordinates.
Use
cylindrical or spherical coordinates to evaluate the integral:
inment FULL SCREEN PRINTER Chapter 14, Section 14.6, Question 019 Use cylindrical or spherical coordinates to evaluate the integral. V64-y2 V128-22 Voor z dz dx dy Enter the exact answer. 128-22-yy 22 dz dx dy = Edit SHOW HINT LINK TO TEXT
1. Convert the point ( 215 7.) from cylindrical to spherical coordinates. 2. Set up a triple integral, but do NOT evaluate, to find the volume of the solid in the first octant bounded by the coordinate planes and the plane 3x + 6y + 4z = 12. 1 3. Locate all relative maxima, relative minima, and saddle points of f(x,y) = x2 + 2y2 – x?y.
A) solve this integral in cylindrical
coordinates.
b) set up the integral in spherical coordinates (without
solving)
10 points Compute the following triple integral: 1/ 1.32 + plav JD where D is the region given by V x2 + y2 <2<2. Hint: z= V x2 + y2 is a cone.