The polynomial equation x cubed + x squared = negative 9 x minus 9 has complex roots plus-or-minus 3 i. What is the other root?
2 answers:
9514 1404 393
Answer:
(b) -1
Step-by-step explanation:
The graph shows the difference between the two expressions is zero at x=-1.
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<em>Additional comment</em>
For finding solutions to polynomial equations, I like to put them in the form f(x)=0. Most graphing calculators find zeros (x-intercepts) easily. Sometimes they don't do so well with points where curves intersect. Also, the function f(x) is easily iterated by most graphing calculators in those situations where the root is irrational or needs to be found to best possible accuracy.
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Answer:
Step-by-step explanation:
Given:
Rate of change of radius of cylinder:
(This is increasing rate so positive)
Rate of change of height of cylinder:
(This is decreasing rate so negative)
To find:
Rate of change of volume when r = 20 inches and h = 16 inches.
Solution:
First of all, let us have a look at the formula for Volume:
Differentiating it w.r.to 't':
Let us have a look at the formula:
Applying the two formula for the above differentiation:
Now, putting the values:
So, the answer is: