For the following exercises, use a computer algebraic system (CAS) and the divergence theorem to evaluate surface integral ∫ s F ⋅ n d S for the given choice of F and the boundary surface S . For each closed surface, assume N is the outward unit normal vector . 380. [T] F ( x , y , z ) = x 2 i + y 2 j + z 2 k ; S is the surface of sphere x 2 + y 2 + z 2 = 4 .
For the following exercises, use a computer algebraic system (CAS) and the divergence theorem to evaluate surface integral ∫ s F ⋅ n d S for the given choice of F and the boundary surface S . For each closed surface, assume N is the outward unit normal vector . 380. [T] F ( x , y , z ) = x 2 i + y 2 j + z 2 k ; S is the surface of sphere x 2 + y 2 + z 2 = 4 .
For the following exercises, use a computer algebraic system (CAS) and the divergence theorem to evaluate surface integral
∫
s
F
⋅
n
d
S
for the given choice of F and the boundary surface S. For each closed surface, assume N is the outward unit normal vector.
380. [T]
F
(
x
,
y
,
z
)
=
x
2
i
+
y
2
j
+
z
2
k
; S is the surface of sphere
x
2
+
y
2
+
z
2
=
4
.
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.
2. Suppose f(x) = 3x² - 5x. Show all your work for the problems below.
write it down for better understanding please
1. Suppose F(t) gives the temperature in degrees Fahrenheit t minutes after 1pm. With a
complete sentence, interpret the equation F(10) 68. (Remember this means explaining
the meaning of the equation without using any mathy vocabulary!) Include units. (3 points)
=
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