MATH 14 Lecture Notes - Lecture 13: Empty Set
16 Feb 2019
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2/11/19: analogs between double & triple integrals. A p (x, )da y where p (x, ) y is in kg m2 a rea of r. 1 out of 8 is in kg m3. R y pda da p y = y = z = D y pdv dv p pdv z dv p f avg = V d: if k is constant, does f(x, y, z)dv. Number of ways to order a triple integral: !3 = 6 d d d d d d xdydz xdzdy ydxdz ydzdx zdxdy zdydx. D f (x, y, z)dzdydx: determine the 2 outer limits by looking at r, the shadow of d on the (x, y) plane. 4 out of 8: determine the inner limit for z: For fixed x & y, short a ray from enters at the lower limit & exits from the upper limit. 2 y=g (x) y=g (x) z=h (x, y) z=h (x, y) (x, y, z)dzdydx b a.
