5. (a) Redefine the piecewise defined function given below using the Heaviside function e-2t if 0 5

Q: 3. If f(x) = x + 1, find f(3) and f(- 3). Is f a one-to-one function?

A: The given function is fx=x2+1

Q: 5. Find the values of x where the graph of the function has a point of inflection. Given: /(x) = x -…

A: Given function is : fx=x4-x3 To find point of inflection f''x is zero Differentiating the above…

Q: 1+x is even, odd, or neither. Show your work. |x| 2. Determine whether the function fx) = %3D

A:

Q: Consider the following function. f(x) = x +41-8 (a).Find.the.critical.numbers.of.…

A:

Q: 45e0.2€ where t is time in years since 1970, and f(t) is people in thousands. How many people are…

A: Till 1979, there was a span of 9 years in between 1970 and 1979. So, to calculate the number of…

Q: Refer to the function below and evaluate it where f (7). /(t) = -3 (-3 ( +-1))' + -1

A:

Q: The winds are calm, allowing a forest fire to spread in a circular fashion at 5 feet per minute. a.…

A: The winds are calm, allowing a forest fire to spread in a circular fashion at 5 feet per minute. To…

Q: 7. A computer shop charges 20 pesos per hour (or a fraction of an hour) for the first two hours and…

A: A computer shop charges 20 poses per hour for the first 2 hours and an additional 10 poses for the…

Q: 2. Find and sketch the domain of the following function f(x,y) = 4– x² – y2 + V1- x2

A: Consider the given function as fx,y=4-x2-y2+1-x2

Q: Where does the original function f(x) increases and decreased

A: f'(x) = +ve→f(x) will be increasing in this range.f'(x) = -ve→f(x) will be decreasing in this…

Q: 5. Find the values of x where the graph of the function has a point of inflection. Given: f(x) = x4…

A: We need to find inflection point.

Q: 'x + 7 |x – 2| f(x) = { x² – 2x x 3 9x 2х — 3

A: