Joint pdfs

Ausdruck 15: "b" equals 3

negative "R" Subscript, "a" "d" "i" "u" "s" , Baseline

Ausdruck 16: left bracket, "c" less than "y" less than "d" , right bracket

Ausdruck 17: "c" equals 0

negative "R" Subscript, "a" "d" "i" "u" "s" , Baseline

"R" Subscript, "a" "d" "i" "u" "s" , Baseline

Ausdruck 18: "d" equals 3

negative "R" Subscript, "a" "d" "i" "u" "s" , Baseline

"R" Subscript, "a" "d" "i" "u" "s" , Baseline

Calculation Method

Ausdruck 20: "M" Subscript, "e" "t" "h" "o" "d" , Baseline equals 0

Method = 0 for the definite integral (volume under z = 0 is counted as negative) Method = 1 for volume under the surface (volume under z = 0 is counted as positive)

Calculations

"V" "o" "l" "u" "m" "e"	"V"
r1c1:	r1c2: 1.0 3	r1c3:
r2c1:	r2c2:	r2c3:

"S" "u" "r" "f" "a" "c" "e" "A" "r" "e" "a"	"S" Subscript, "A" , Baseline
r1c1:	r1c2: 14.1 8	r1c3:
r2c1:	r2c2:	r2c3:

Formulas

Ausdruck 26: "V" "o" "l" "u" "m" "e" equals Start integral from "c" to "d" , end integral, Start integral from "a" to "b" , end integral, "f" left parenthesis, "x" , "y" , right parenthesis "d" "x" "d" "y"

Schieberegler hinzufügen:

Ausdruck 27: "S" "u" "r" "f" "a" "c" "e" "A" "r" "e" "a" equals Start integral from "c" to "d" , end integral, Start integral from "a" to "b" , end integral, StartRoot, StartFraction, ∂ "f" Over ∂ "x" , EndFraction squared positive StartFraction, ∂ "f" Over ∂ "y" , EndFraction squared positive 1 , EndRoot "d" "x" "d" "y"

Perspective View

Visual Representation Construction

101

"x"

"y"

"z"

Perspective