Evaluating a Line Integral of a Vector Field Using Technology In Exercises 35 and 36, use a computer algebra system to evaluate ∫ c F · d r . F ( x , y , z ) = x 2 z i + 6 y j + y z 2 k C : r ( t ) = t i + t 2 j + ln t k , 1 ≤ t ≤ 3
Evaluating a Line Integral of a Vector Field Using Technology In Exercises 35 and 36, use a computer algebra system to evaluate ∫ c F · d r . F ( x , y , z ) = x 2 z i + 6 y j + y z 2 k C : r ( t ) = t i + t 2 j + ln t k , 1 ≤ t ≤ 3
Solution Summary: The author explains how to calculate the line integral displaystyle 'underset' Cint's F.dr over the curve.
Evaluating a Line Integral of a Vector Field Using Technology In Exercises 35 and 36, use a computer algebra system to evaluate
∫
c
F
·
d
r
.
F(x, y, z) =
x
2
z
i
+
6
y
j
+
y
z
2
k
C
:
r
(
t
)
=
t
i
+
t
2
j
+
ln
t
k
,
1
≤
t
≤
3
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
38,189
5. Draw a detailed graph to and set up, but do not evaluate, an integral for the volume of the
solid obtained by rotating the region bounded by the curve: y = cos²x_for_ |x|
≤
and the curve y
y =
about the line
x =
=플
2
80
F3
a
FEB
9
2
7
0
MacBook Air
3
2
stv
DG
Find f(x) and g(x) such that h(x) = (fog)(x) and g(x) = 3 - 5x.
h(x) = (3 –5x)3 – 7(3 −5x)2 + 3(3 −5x) – 1
-
-
-
f(x) = ☐
x-4
Let f(x)=5x-1, h(x) =
Find (fo h)(0).
3
(fo h)(0) =
(Type an integer or a fraction.)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.