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.
According to Newton's law of universal gravitation, the force F between two bodies of constant mass
GmM
m and M is given by the formula F =
, where G is the gravitational constant and d is the
d²
distance between the bodies.
a. Suppose that G, m, and M are constants. Find the rate of change of force F with respect to
distance d.
F' (d)
2GmM
b. Find the rate of change of force F with gravitational constant G = 6.67 × 10-¹¹ Nm²/kg², on
two bodies 5 meters apart, each with a mass of 250 kilograms. Answer in scientific notation,
rounding to 2 decimal places.
-6.67x10
N/m syntax incomplete.
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.
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY