Answer:
56
Step-by-step explanation:
Since 3 is between -6 and 9 we use the first definition
f(3) = 6 x^2 +2
= 6(3)^2+2
= 6(9) +2
= 54+2
= 56
Answer:
f x y z 4y cos (< x >) y x sin z z xy k s is the hemisphere x2 y2 z2 25 z ≥ 0 oriented upward
use stokes theorem to evaluate f dr
s is the hemisphere x 2 y 2 z 2 16
consists of the top and the four sides but not the bottom of the cube with vertices oriented outward
stokes theorem triangle with vertices
f xyz x y 2 i y z 2 j z x 2 k where k is the triangle with vertices
∫ f ∙ dr c when f x y z 2xi 3zj xk and c is the triangle with vertices 0 0 0 1 1 1 and 0 0 2
s is the part of the paraboloid z 1 − x2 − y2 that lies above the xy plane oriented upward
Answer:
4
x
−
1
3
y
=
−
2
To convert this equation to slope-intercept form, solve for
y
.
Subtract
4
x
from both sides.
−
1
3
y
=
−
2
−
4
x
Simplify
−
1
3
y
to
−
y
3
−
y
3
=
−
2
−
4
x
Multiply both sides times
3
.
−
y
=
−
2
(
3
)
−
4
x
(
3
)
Simplify.
−
y
=
−
6
−
12
x
Rearrange the right side.
−
y
=
−
12
x
−
6
Multiply both sides times
−
1
.
y
=
12
x
+
6
m
=
12
and
b
=
6
.
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
(Assuming that each cube is 1 unit), the volume is 5 + 6 + 8 which equals 19
