The maximum height of the function is 9
<h3>How to determine the maximum height?</h3>
The equation of the function is given as:
n=-1t^2 + 2t + 8
Differentiate the function
n' = -2t + 2
Set to 0
-2t + 2 = 0
Subtract 2 from both sides
-2t = -2
Divide both sides by -2
t = 1
Substitute t = 1 in n=-1t^2 + 2t + 8
n=-1(1)^2 + 2(1) + 8
Evaluate
n=9
Hence, the maximum height of the function is 9
Read more about maximum values at:
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Ok so let’s see we have L and H but we don’t have the W so to find it we start by multiplying the numbers we do have which is L and H so 6x3=18 know that we did that we tasked the volume number which is 54 and we divide that by 18 so 54➗18 = 3 so our width is 3
Hope this helped :)
Options:
A. [1,10] B. [10,20] C. [15,25] D. [1,30]
Answer:
A. [1,10]
Step-by-step explanation:
Given
Required
Interval with the fastest rate of decay
The rate of change over [a,b] is calculated as:
So, we have:
A. [1,10]
Calculate N(10) and N(1)
So:
B. [10,20]
Calculate N(20) and N(10)
So:
C. [15,25]
Calculate N(25) and N(15)
So:
D. [1,30]
Calculate N(30) and N(1)
So:
By comparing the values of the calculated rates,
-2.03 is the smallest, in other words; the fastest rate
Hence, the interval [1,10] has the fastest rate of decay
The correct answer is C. 3.0
Hope this helps
-AaronWiseIsBae
Answer :
x = 10
Solution :
26^2 = 24^ 2 - x ^2
676 = 576 - x
x^2 = 676 - 576
x^2 = 100
x = 10
