Studied by 7 people3x3 matrix for a rotation of θ degrees anticlockwise about the y axis
Rotation of θ degrees anticlockwise about the x axis
Rotation of θ degrees anticlockwise about the z axis
α + β
-b / a
αβ
c / a
α + β + γ
-b / a
αβγ
-d / a
αβ + γβ + αγ
c / a
Σα
α + β + γ
Σαβ
αβ + γβ + αγ
3x3 matrix of a reflection in x = 0 (the y-z plane)
3x3 matrix of a reflection in y = 0 (the x-z plane)
3x3 matrix of a reflection in z = 0 (the x-y plane)
α + β + γ + σ
-b / a
αβγσ
e / a
αβ + αγ + ασ +βγ + βσ + γσ
c / a
αβγ + αβσ + αγσ + βασ
-d / a
The formula for the perpendicular distance from the point (α,β,γ) to a plane
if f(x) = c, what would the substitution for the particular integral be?
a
if f(x) = bx+c, what would the substitution for the particular integral be?
ax + b
if f(x) = ax² + bx +c , what would the substitution for the particular integral be?
ax² + bc + c
if f(x) = Pe^(px), what would the substitution for the particular integral be?
Qe^(px)
OR Qxe^(px)
OR Qx²e^(px)
if f(x) = rcos(wx) + s sin(wx), what would the substitution for the particular integral be?
pcos(wx) + qsin(wx)
Note
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