Answer:
-104
Step-by-step explanation:
In order to get the answer to this question you will have to use PEMDAS:
P goes first
M goes next
A goes next
Using KCC
Therefore your answer is "-104."
Hope this helps.
see explanation
Expand both factors and collect like term
Using Pascal' triangle with n = 6 to obtain the coefficients
1 6 15 20 15 6 1
Decreasing powers of 1 from to
Increasing powers of 3x from to
= 1. + 6. + 15. + 20. + 15.1² + 6. + 1.
= 1 + 18x + 135x² + 540x³ + 1215 + 1458 + 729
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= 1 - 18x + 135x² - 540x³ + 1215 - 1458 + 729
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Collecting like terms from both expressions
+
= 2 + 270x² + 2430 + 1458
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(2)
Using Pascal's triangle with n = 5
1 5 10 10 5 1
Increasing powers of 2x from to
= 1. + 5. + 10. + 10. + 5.+ 1.
= 1 + 10x + 40x² + 80x³ + 80 + 32
The height of cone is decreasing at a rate of 0.085131 inch per second.
We are given the following information in the question:
The radius of a cone is decreasing at a constant rate.
The volume is decreasing at a constant rate.
Instant radius = 99 inch
Instant Volume = 525 cubic inches
We have to find the rate of change of height with respect to time.
Volume of cone =
Instant volume =
Differentiating with respect to t,
Putting all the values, we get,
Thus, the height of cone is decreasing at a rate of 0.085131 inch per second.