Given:
The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by
To find:
The current which will produce the maximum power.
Solution:
We have,
Differentiate with respect to x.
...(i)
To find the extreme point equate P'(x)=0.
Divide both sides by -30.
Differentiate (i) with respect to x.
(Maximum)
It means, the given function is maximum at x=4.
Therefore, the current of 4 amperes will produce the maximum power.
Answer:
- <em><u>The slope is $ 10 per flower bundle.</u></em>
Explanation:
The <em>slope</em> of a linear function is the ratio of the change in the dependent variable over the change in the independent variable.
In the problem, the independent variable is the number of flower bundles and the dependent variable is the amount charged.
If you call n the number of flower bundles and c(n) the amount charged per order, the amount charged per order is modeled by linear function:
Where, 10 is the amount charged in dolars per flower bundle, and 15 is the delivery charge per order.
Then, for every increment in the number of flower bundles (n) the amount charged will increase in $ 10. That is the slope
- slope = $ 10 / flower bundle.
Answer:
GCF = 4xy⁷z
Step-by-step explanation:
Do Prime Factorizations for each term and select only those terms common to each:
28xy⁹z = 2·2·7·x·y·y·y·y·y·y·y·y·y·z
32x²y⁷z = 2·2·2·2·2·x·x·y·y·y·y·y·y·y·z
GCF = 2·2·x·y·y·y·y·y·y·y·z
GCF = 4xy⁷z
Step b is wrong. The slope is the change in y over the change in x.
Step b should be (18- 8)/( 10-6)
= 10/4
= 5/2
Answer:
Step-by-step explanation:
what is she considering? I would need more information to complete the probolem
