Answer:
1/5(2ln|x|+3*5^1/3)+c
Step-by-step explanation:
Answer:
(a) - 25 boxes per dollar
(b) - 20 boxes per dollar
Step-by-step explanation:
Given that,
Consumer's willing to buy boxes of nails at p dollars per box:
N(p) = 80 - 5p^{2}
(a) Change in price from $2 to $3.
N(2) = 80 - 5(2)^{2}
= 80 - 20
= 60
N(3) = 80 - 5(3)^{2}
= 80 - 45
= 35
Therefore, the average rate of change of demand is
= [N(3) - N(2)] ÷ (3 - 2)
= 35 - 60
= - 25 boxes per dollar.
(b) N(p) = 80 - 5p^{2}
Now, differentiating the above function with respect to p,
N'(p) = -10p
Therefore, the instantaneous rate of change of demand when the price is $2 is calculated as follows:
N'(p) = -10p
N'(2) = -10 × 2
= -20 boxes per dollar
Given:
Cost of lunch per day = 1 meal and 2 snacks
C = 5.5 + 2(0.75) = 5.5 + 1.5 = 7
7 * 12 days = 84
Based on the choices, the best strategy would be:
<span> A. Make a table. Write the numbers 1 to 12 in the top row of the table (the number of days). In the first box on the second row, write $7. This is how much Rebecca spends in 1 day. In each of the next boxes in the second row, write the amount Rebecca spends by adding $7 to the previous amount. The answer in box 12 is the total amount Rebecca spent after 12 days.</span>
Answer:
x = π/6, 5π/6
Step-by-step explanation:
4 sin² x − 4 sin x + 1 = 0
(2 sin x − 1)² = 0
sin x = ½
x = π/6, 5π/6
Answer:
Step-by-step explanation:
multiply first,
so 2√6 x √8 = 2√48 (because when radicals are multiplied we add them)
so
2√48 can be simplified to 8√3 and 2√12 can be simplified to 4√3
8√3+4√3=12√3
