Et's give this a go:h(x) = cos(x) / f(x)
derivative (recall the quotient rule)h'(x) = [ f(x) * (-sin(x)) - cos(x)*f'(x) ] / [ f(x) ]^2
simplifyh'(x) = [ -sin(x)*f(x) - cox(x)*f '(x) ] / [ f(x) ]^2h'(π/3) = [ -sin(π/3)*f(π/3) - cox(π/3)*f '(π/3) ] / [ f(π/3) ]^2h'(π/3) = −(3–√/2)∗(3)−(1/2)∗(−7)/(3)2
h'(π/3) = (−33–√/2+7/2)/9
And you can further simplify if you want, I'll stop there.
Answer:
I believe it is 48%
Step-by-step explanation:
The total amount of people who liked to read printed books is 67.
Then the total amount of people who liked either print or electronic books is 140.
If I am remembering correctly, you would divide 67 by 140 to get the percentage of people who like to read printed books.
<u>67/140 = 48%</u> (rounded)
Answer:
The change in temperature per minute for the sample, dT/dt is 71.
°C/min
Step-by-step explanation:
The given parameters of the question are;
The specific heat capacity for glass, dQ/dT = 0.18 (kcal/°C)
The heat transfer rate for 1 kg of glass at 20.0 °C, dQ/dt = 12.9 kcal/min
Given that both dQ/dT and dQ/dt are known, we have;


Therefore, we get;


For the sample, we have the change in temperature per minute, dT/dt, presented as follows;

The volume of a cone uses the following formula:

Our diameter is 20 feet, so divide this by 2 to find the radius:

We now have all of our values need to fill in the formula. Plug in these values:




The volume of the cone is
1780 cubic feet.
Answer:
216 cubic inches
Step-by-step explanation:
(9)(3)(3)=81
(3)(3)(9)=81
(3)(3)(6)=54
81+81+54=216
So, it's 216 cubic inches in volume.