Evaluating a Line Integral In Exercises 19-22, evaluate the line integral along the given path. ∫ C ( x 2 + y 2 + z 2 ) d s C : r ( t ) = sin t i + cos t j + 2 k 0 ≤ t ≤ π 2
Evaluating a Line Integral In Exercises 19-22, evaluate the line integral along the given path. ∫ C ( x 2 + y 2 + z 2 ) d s C : r ( t ) = sin t i + cos t j + 2 k 0 ≤ t ≤ π 2
Solution Summary: The author explains how to calculate the line integral displaystyleundersetCint
Evaluating a Line Integral In Exercises 19-22, evaluate the line integral along the given path.
∫
C
(
x
2
+
y
2
+
z
2
)
d
s
C
:
r
(
t
)
=
sin
t
i
+
cos
t
j
+
2
k
0
≤
t
≤
π
2
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
Using the Hough transform i) Develop a general procedure for obtaining the normal representation of a line from its slope-intercept form, y = ax + b. ii) Find the normal representation of the line y = – 2x + 1.
Complex
Quadrilateral HIJKHIJK has vertices H(−1, 3)H(−1, 3), I(2, 3)I(2, 3), J(2,−1)J(2,−1), and K(−3,−1)K(−3,−1). It is dilated by a scale factor of 77 with a center of dilation at (0, 0)(0, 0). What are the coordinates of the image H′I′J′K′H′I′J′K′?
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