Question
Exercises Express the following polynomials as row vectors of coefficients: 2x^(3)-3x^(2)+x+5 3x^(4)+x^(2)+2x-4 Find the roots of the equation f(x)=3x^(2)-2x-5 . Also, create x and
Exercises\ Express the following polynomials as row vectors of coefficients:\
2x^(3)-3x^(2)+x+5\ 3x^(4)+x^(2)+2x-4
\ Find the roots of the equation
f(x)=3x^(2)-2x-5
. Also, create
x
and
y
vectors and plot this function in the range from -3 to 3 in order to visualize the solution.\ Evaluate the polynomial expression
3x^(3)+4x^(2)+2x-2
at
x=4,x=6
, and
x=8
.\ The voltage in a circuit is determined at various times, as follows:\ \\\\table[[time:,1,2,3,4,5,6,7],[voltage:,1.1,1.9,3.3,3.4,3.1,3.3,7.1]]\ Fit a straight line through the data points, and then plot this line along with the sample voltages. According to your straight line, determine at what time the voltage would be
4.5V
.\ The temperature (in degrees Fahrenheit) was recorded every three hours for a day at a particular location. Using a 24-hour clock where midnight is 0 , for example, the data might be:\ \\\\table[[Time:,0,3,6,9,12,15,18,21],[Temp:,55.5,52.4,52.6,55.7,75.6,77.7,70.3,66.6]]\ a) Create vectors for the data.\ b) Plot the data.\ c) Find a curve that fits the data.\ d) At what time(s) was it 60 degrees? 65 degrees?
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