Missing exam

Today I have missed the exam :)

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Finding roots by graphing in mathematica

Question: Graph the function  g(x) = x⁶ - 2x² + x - 16

a. How many real roots does the graph reveal?

b. Find the roots of g(x) in table form.

Solution:

Categories: Code Mathematica Programming

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Graphing the pair of parametric equations in mahematica

Question: Plot the pair of parametric equations as t ranges from -10 to 10. Label the x-axis time and the y-axis temperature x = t + 2 Sin t, y = t + 2 Cos 5t. 

a. Find the exact roots of  f(x) = 3x⁴ - 15x³ + 18x²

b. Find the decimal values of these roots, listing the roots in table form.

Solution:

Categories: Code Mathematica Programming

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Graphing the implicit relationship in mathematica

Question: Load the package Graphic`ImplicitPlot` if you have not already done so in this session of Mathematica. DO NOT load it more than once per session. Graph the implicit relationship x²y² = (y+1)²(4-y)².

Solution:

Categories: Code Mathematica Programming

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Graphing two polar equation in same graph by mathematica graphics property

Question: 2. Load the package Graphics`Graphics` if you have not already done so in this session of Mathematica. DO NOT load it more than once per session. Graph the polar expression on the same axes. Make the graph of the second equation blue and twice as thick as the red graph of the first equation r=Cos[x]Sin[x/Sqrt[2]] .  and r = -0.25 Cos[x].

Solution:

Categories: Code Mathematica Programming

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Graphing more than one function in one Graph by mathematica

Question: 1. Graph the function f(x) = 4CosxSin²x and g(x)=-Secx  on the same axes over the domain -4Pi<x<4Pi . Restrict the range to -4<y<4 . Draw the curves in different styles so that you can distinguish the functions.

Answer:

Categories: Mathematica Programming

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