For the function f(x) = sin(3x) + x^2 + 5, a. demonstrate that this relationship is non-linear. (check both requirements) b. linearise the relationship about an operating point of xo = 1.2 rad.

a.It is not a linear equation

b.L(x)=4.5 +5.7(x-1.2)  

Explanation:

Given that

The function f(x) contains power of x more than 1 that is why it is not a linear function.This is a non-linear function.

To linearise the function

Given that

 ⇒a=1.2

a=68.85°

By putting the values

f(1.2)=5.7

L(x)=4.5 +(x-1.2) x 5.7

L(x)=4.5 +5.7(x-1.2)  

the equation above shows how temperature f, measured in degrees fahrenheit, relates to a temperature c, measured in degrees celsius. based on the equation, which of the following must be true?

a temperature increase of 1 degree fahrenheit is equivalent to a temperature increase of

5

9

degree celsius.

a temperature increase of 1 degree celsius is equivalent to a temperature increase of 1.8 degrees fahrenheit.

a temperature increase of

5

9

degree fahrenheit is equivalent to a temperature increase of 1 degree celsius.

a) i only

b) ii only

c) iii only

d) i and ii only

answer:

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explanation: