Answer:
A) g is increasing, and the graph of g is concave up.
Step-by-step explanation:
g'(x) = ∫₀ˣ e^(-t³) dt
Since e^(-t³) is always positive, ∫₀ˣ e^(-t³) dt is positive when x > 0. So the function is increasing.
Find g"(x) by taking the derivative using second fundamental theorem of calculus:
g"(x) = e^(-x³)
g"(x) is always positive, so the function is always concave up.
Answer:
38,325 dinners.
Step-by-step explanation:
We have been given that last year the manager of a health care facility served 36,500 dinners. The manager estimates an increase of 5% in the number of dinners to be served next year.
The estimated number of dinners next year would be 36,500 plus 5% of 36,500.
Therefore, 38,325 dinners will be served next year.
Step-by-step explanation:
1-(2x+4)= 1-2x-4= -2x-3
Answer:
3. An additional month of product use is associated with an additional 0.85 inch of growth.
Step-by-step explanation:
Given that a company is testing a product which is intended to make hair grow faster. One of the test subjects started with a hair length of 8.2 inches
After a year of using the product, the test subject's hair measured 18.4 inches. If the growth rate was constant during the trial period, then we find that for 12 months hair growth is 10.2 inches
Assuming constant growth for 1 month growth is 10.2/12 = 0.85 inches
i.e. for every month additional use the growth would be 0.85 inches.
The equation relating hair growth and months would be
Hair size = No of months used *0.85 + 8.2
So correct option is
3. An additional month of product use is associated with an additional 0.85 inch of growth.
