Use a calculator with a y x key or a ∧ key to solve Exercises 65-70. The 1986 explosion at the Chernobyl nuclear power plain in the former Soviet Union sent about 1000 kilograms of radioactive cesium-137 into the atmosphere. The function f ( x ) = 1000 ( 0 ⋅ 5 ) r 30 describes the amount, F ( x ), in kilograms, of cesium-137 remaining in Chernobyl x years after 1986. If even 100 kilograms of cesium-137 remain in Chernobyl’s atmosphere, the area is considered unsafe for human habitation. Find f (80) and determine if Chernobyl will be safe for human habitation by 2066.
Use a calculator with a y x key or a ∧ key to solve Exercises 65-70. The 1986 explosion at the Chernobyl nuclear power plain in the former Soviet Union sent about 1000 kilograms of radioactive cesium-137 into the atmosphere. The function f ( x ) = 1000 ( 0 ⋅ 5 ) r 30 describes the amount, F ( x ), in kilograms, of cesium-137 remaining in Chernobyl x years after 1986. If even 100 kilograms of cesium-137 remain in Chernobyl’s atmosphere, the area is considered unsafe for human habitation. Find f (80) and determine if Chernobyl will be safe for human habitation by 2066.
Use a calculator with a
y
x
key or a
∧
key to solve Exercises 65-70.
The 1986 explosion at the Chernobyl nuclear power plain in the former Soviet Union sent about 1000 kilograms of radioactive cesium-137 into the atmosphere. The function
f
(
x
)
=
1000
(
0
⋅
5
)
r
30
describes the amount, F (x ), in kilograms, of cesium-137 remaining in Chernobyl x years after 1986. If even 100 kilograms of cesium-137 remain in Chernobyl’s atmosphere, the area is considered unsafe for human habitation. Find f (80) and determine if Chernobyl will be safe for human habitation by 2066.
8–23. Sketching vector fields Sketch the following vector fields
25-30. Normal and tangential components For the vector field F and
curve C, complete the following:
a. Determine the points (if any) along the curve C at which the vector
field F is tangent to C.
b. Determine the points (if any) along the curve C at which the vector
field F is normal to C.
c. Sketch C and a few representative vectors of F on C.
25. F
=
(2½³, 0); c = {(x, y); y −
x² =
1}
26. F
=
x
(23 - 212) ; C = {(x, y); y = x² = 1})
,
2
27. F(x, y); C = {(x, y): x² + y² = 4}
28. F = (y, x); C = {(x, y): x² + y² = 1}
29. F = (x, y); C =
30. F = (y, x); C =
{(x, y): x = 1}
{(x, y): x² + y² = 1}
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