Answer & step-by-step explanation:
Stationary points are the points where the first derivative is equal to zero.
Let's calculate it using the power rule (exponent comes forward, decrease exponent by 1) and the fact that the derivative is a linear operation (that is ![D[a\ f(x) + b\ g(x)] = a Df(x) + b Dg(x)](https://tex.z-dn.net/?f=D%5Ba%5C%20f%28x%29%20%2B%20b%5C%20g%28x%29%5D%20%3D%20a%20Df%28x%29%20%2B%20b%20Dg%28x%29)
)
The first derivative is then
Note that the last passage is not strictly needed, but it's really helpful to find stationary points, when in this next passage we set it equal to zero. Alternatively, you can use the quadratic formula if you can pull the factors out of your head right away.
These two point could be maxima, minima, or inflection points. To check them you can either see how the sign of the first derivative goes, or check the sign of the second derivative, as you're required.
The rules states that if the second derivative evaluated in that point is negative we have a maximum, if it's positive we have a minimum, and if we have a zero we keep derivating until we get a non-zero value.
In our case, the second derivative we get by calculating the derivative again and we get 
. Evaluating it at both points we get
so -2 is a maximum and 3 is a minimum.
In this case, the pattern is the number, in this case, 3, multiplied by the number below it.
See?
Hope this helped :)
Answer:
V = 339.12
Step-by-step explanation:
Volume of a cone:
V = πr²(h/3)
Given:
r = 6
h = 9
Work:
V = πr²(h/3)
V = 3.14(6²)(9/3)
V = 3.14(36)(3)
V = 113.04(3)
V = 339.12
Answer:
hello!!!
300 cupcakes
please read the explanation.. it always helps... trust me...
Step-by-step explanation:
alrighty here it goes...
okay.. so we start by reading the problem (duh) but also underlining the important numbers that we need. yes, it really is that simple, trust me....
okay so the percentage of chocoalte cupcakes was 8% and the amount of vanilla cupcakes was 276.
we start by taking 100% - 8% = 92% so the amount of vanilla cupcakes sold was 276 which is also 92% of the total amount of cupcakes.
so now we need to find out 92% of what number gets us 276.
the percentage formula (in this problem) should be as follows:
92/100 x (total amount of cupcakes) = 276
to solve for total amount of cupcakes you do 276 x 100 then you divide by 92 to get your answer (which is 300)
i hope this helps!!!
Answer:
You cant see enough of the problem to answer this, sorry
Step-by-step explanation:
