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This is the Exam of Calculus which includes Concern Derivatives, Unit Vectors, Approximate the Number, Transformation etc. Key important points are: Parallelopiped, Points, Formed, Angle, Plane Containing, Equation, Angle, Plane Containing, Parametric Equation, Curve
Typology: Exams
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1 2 3 4 Total
C = (− 1 , 1 , 1), D = (1, 0 , 3). Find the following:
(a) [2] the volume of the parallelopiped formed by
AC, and
(b) [2] the angle between
AB, and
(c) [4] the equation of the plane containing
BD and
(d) [4] the angle between the plane in (c) and the plane containing
BD and
(f) [4] the normal and tangential components of acceleration at r(π);
(g) [2] the arc distance from r(π) to r(2π).
(a) [5] Find the cylindrical coordinate equation for the ellipsoid given
by
(
x
) 2
(
y
) 2
(
z
) 2
(b) [6] Find the spherical coordinate equation for
x
2
2
− z
2
= 1.
