Calculus help! Would I be able to get some assistance with this calculus problem?

Question

Answer 1

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the standard units for SPHERICAL is r IS THE radial distance

theta is angle away from the positive z axis units from 0 to pi

and psi is angle away from the positive x axis 0 <= psi <= 2pi

WHY ARE your units for theta pi <= theta <= 5 pi/4

that is outside the range of theta .. there is NO REASON or non standard units to be used thats why they standardize things

lets say your teacher is not a math teacher and assume the units are SCREWED UP..

the angle from the z might be with your units psi

and the angle around away from the x axis would be theta..

please give your teacher hell..

then the second one is easier it extends from the positive z axis to the negative z axis

because your psi (which is not standard) goes from 0 to pi or from the z axis positive to the z axis negative which is pi

the theta goes from 2pi/3 to pi

so it goes from somewhere after the y axis = 2pi/4 = pi/2

im thinking its picture number 8 or picture number 6(most likely 6) its hard to know from these images

the first one

psi the circle with the line straght down ..

goes from 0 to pi/2

this is from the z axis to the xy plane

and the other Theta goes from pi to 5pi/4

pi is the negative x axis

and 2pi/4 = pi/2 from there is the negative y axis ..

6pi/4 is the negative y axis so the limits are from the negative x axis to half way between that and the negative y axis ..

so its in the 3rd quadrant on the xy plane and up to the z axis

image 3 ...

you can google the units o spherical and it shows different then your teachers so this mkes it really hard to help you

Answer 2

Assuming theta is from x-axis counterclockwise when viewed from positive z-axis toward x-y plane, and phi is from positive z-axis,

3 and 6