How to Calculating the Volume of a Cone
1 answer:
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Answer:
x = 0 and x = -2 are solutions of the given rational equation.
Step-by-step explanation:
We must solve the following rational equation:
Now we present the procedure:
1) Given
2) Compatibility with multiplication/Existence of the multiplicative inverse/Definition of division/Modulative property.
3) Distributive property/
4) Compatibility with addition/Existence of the additive inverse/Modulative property/Reflexive property
5) Distributive property/
6) Result
Now we check the rational equation with each root:
x = 0
x = 0 is a solution of the rational equation.
x = -2
x = -2 is a solution of the rational equation.
Answer:
- -108.26
- -108.13
- -108.052
- -108.026
- -108
Step-by-step explanation:
A graphing calculator or spreadsheet is useful for making the repeated function evaluations required.
The average velocity on the interval [a,b] will be ...
v avg = (y(b) - y(a))/(b-a)
Here, all the intervals start at a=3, so the average velocity for the given values of t will be ...
v avg = (y(3+t) -y(3))/((3+t) -3) = (y(3+t) -y(3))/t
This can be computed for each of the t-values given. The results are shown in the attached table.
__
We note that the fractional part of the velocity gets smaller in proportion to t getting smaller. We expect it to go to 0 when t goes to 0.
The estimated instantaneous velocity is -108 ft/s.
_____
We can simplify the average velocity equation to ...
v avg = ((48(3+t) -26(t+3)^2) -(48(t+3) -26(3)^2)) / t
= (48t -26(t^2 +6t))/t
= 48 -26t -156
<em> v avg = -108 -26t</em>
Then the average velocity at t=0 is -108.
