I always have trouble sketching regions and solids.
For example, if one solid described by the inequialities (in spherical coordinates) where ρ <=2, and ρ <= csc(φ)
I don't get how to interpret the cosecant part. Thanks.
Okay.
I just first converted the function to polar one which became -3*r3*cos(o)*sin(o) - 3*r2*sin(o) drdo
and just double integrate this over 0 <= r <= 3, and arctan(3) <= o <= pi/2.
I've tried this question with many different ways and i always got -11.576, but the autograder always marked it wrong. so hopefully i really did something wrong and you can teach me about it.
find the double integral of -3*x*y - 3*y over the region bounded by x^2 + y^2 = 9, y = 3x, and y = 0...
Use the table of values of f(x,y) to estimate the values of each of the following partial derivatives.
y=4.2 || 2.75262 ||| 0.27222 ||| 0.27107
y=4 ||| 5.74559 ||| 2.84839 ||| 0.64973
y=3.8 || 7.42708 ||| 5.84832 |||...