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ozzi
3 years ago
6

Find the average rate of change for the function over the given interval. y equals e Superscript x between xequalsnegative 2 and

xequals1
Mathematics
1 answer:
Galina-37 [17]3 years ago
6 0

Answer:

<h2> (e³ - 1)/3e²</h2>

Step-by-step explanation:

Given the function y = e^x between the interval x = -2 and x =1, the average rate of change for the function will be the slope of the function expressed as m = Δy/Δx where;

Δy = f(b)-f(a) and Δx = b-a

m =  f(b)-f(a)/b-a where a and b is the interval [-2, 1]

m =  f(1)-f(-2)/1-(-2)

m = f(1)-f(-2)/3

Given the function f(x) = e^x,

at the end point x = b, f(1) = e^1; f(1) = e

at the end point x = a, f(-2) = e^-2; f(-2) = 1/e²

m = (e - 1/e²)/3

m = [(e³ - 1)/e²]/3

m = (e³ - 1)/e² * 1/3

m = (e³ - 1)/3e²

Hence, the average rate of change for the function at the interval [-2, 1] is  (e³ - 1)/3e²

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<h3>What is the magnitude of force?</h3>
  • The total amount of forces exerted on an object is referred to as the magnitude of force. The strength of the force increases when all the forces are pulling in the same direction. The force's strength reduces when forces are exerted on an item from different angles.
  • When two forces operating on a body in opposite directions along the same line of action are equal in magnitude, they cancel one another out. When two forces operating on a body in opposite directions along the same line of action are equal in magnitude, they cancel one another out.
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The forces have a magnitude of 59 pounds, and their direction angles are zero.

To learn more about the Magnitude of forces and Direction angles of forces, refer to:

brainly.com/question/14584426

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