I need this question completed in 5 minutes with handwritten working out 1. Consider the piecewise continuous functionwhich is graphed below:(b).10)-(3²-2-2,f(x) =(c) (x < 1|3x − x² −2, x>1y(a).Write the function f(x) graphed on page 1 using a one-line formulathat involves a step function oDifferentiate f(x) once to find f'.X▸ Differentiate again to find f".

Given the piecewise continuous function We know that the step function is .

Answered: Consider the piecewise continuous…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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I need this question completed in 5 minutes with handwritten working out

1. Consider the piecewise continuous function
which is graphed below:
(b).
10)-(3²-2-2,
f(x) =
(c) (
x < 1
|3x − x² −2, x>1
y
(a).
Write the function f(x) graphed on page 1 using a one-line formula
that involves a step function o
Differentiate f(x) once to find f'.
X
▸ Differentiate again to find f".

Expert Solution

Step 1: Writing down the given information

Given the piecewise continuous function $f open parentheses x close parentheses equals open curly brackets table row cell x squared space space space space space space space space space space space space space space comma space x less than 1 end cell row cell 3 x minus x squared minus 2 comma space x greater or equal than 1 end cell end table close.$

We know that the step function is $sigma open parentheses x minus a close parentheses equals open curly brackets table row cell 0 space text if end text space x less than a end cell row cell 1 space text if end text space x greater or equal than a end cell end table close$ .