To find the area of the shaded piece, subtract the square area to the area of the sector.
<span>6 × 6 − <span>1/2</span><span>r^2 0</span></span>Subtract <span>☇
</span>36−1/2(6)2pi/2
☇
<span>36−<span>1/2</span>(6<span>)2</span><span><span>pi/</span>2
</span></span>☇
7.722 <span>✔
The area is 7.722. </span><span>✩</span>
For this problem, you need to substitute 4 in for your variable t. the original equation is S(t) and the one you need is S(4) -- in other words, evaluate this equation when t = 4.
S(4) = 9(4) - 4
S(4) = 36 - 4
S(4) = 32 is your answer.
Determine your ratio. For example, assume your ratio is 9 out of 10.
Multiply
the numerator and the denominator by the same number. For example, 9
times 10 equals 90 and 10 times 10 equals 100, so the new ratio is 90
out of 100.
Divide the numerator and denominator of the
ratio by the same number to reduce the ratio. In the example, 90
divided by 50 equals 1.8 and 100 divided by 50 equals 2, so your ratio
is 1.8 out of 2.
Infinity Many Solutions
- Harvard university professor
Answer:
$625,000
Step-by-step explanation:
The maximum revenue will be found where the derivative of the revenue function is zero.
r'(x) = 50 -2x = 0
50 = 2x
x = 25
When 2500 gallons are sold, the revenue is ...
r(25) = 50(25) -25(25) = (50 -25)(25) = 25(25) = 625 . . . thousands
The maximum revenue is $625,000.