Calculate d d t r 1 t ⋅ r 2 t and d d t r 1 t × r 2 t first by differentiating the product directly and then by applying Formulas (6) and (7). r 1 t = cos t i + sin t j + t k, r 2 t = i + t k
Calculate d d t r 1 t ⋅ r 2 t and d d t r 1 t × r 2 t first by differentiating the product directly and then by applying Formulas (6) and (7). r 1 t = cos t i + sin t j + t k, r 2 t = i + t k
Calculate
d
d
t
r
1
t
⋅
r
2
t
and
d
d
t
r
1
t
×
r
2
t
first by differentiating the product directly and then by applying Formulas (6) and (7).
r
1
t
=
cos
t
i
+
sin
t
j
+
t
k,
r
2
t
=
i
+
t
k
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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Numerical Integration Introduction l Trapezoidal Rule Simpson's 1/3 Rule l Simpson's 3/8 l GATE 2021; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=zadUB3NwFtQ;License: Standard YouTube License, CC-BY