Answer:
a)
b)
Step-by-step explanation:
From the question we are told that
The Function

Generally the differentiation of function f(x) is mathematically solved as


Therefore

Generally critical point is given as



Generally the maximum and minimum x value for critical point is mathematically solved as

Where
Maximum value of x

Minimum value of x

Therefore interval of increase is mathematically given by


Therefore interval of decrease is mathematically given by

Generally the second differentiation of function f(x) is mathematically solved as

Generally the point of inflection is mathematically solved as


Therefore inflection points is given as


a)Generally the concave upward interval X is mathematically given as


b)Generally the concave downward interval Y is mathematically given as

Answer:
1000
Step-by-step explanation:
To solve this you divide 10/0.01 and you get 1000.
Hope it helps!
Answer:
a. Plan B; $4
b. 160 mins; Plan B
Step-by-step explanation:
a. Cost of Plan A for 80 minutes:
Find 80 on the x axis, and trave it up to to intercept the blue line (for Plan A). Check the y axis to see the value of y at this point. Thus:
f(80) = 8
This means Plan A will cost $8 for Rafael to 80 mins of long distance call per month.
Also, find the cost per month for 80 mins for Plan B. Use the same procedure as used in finding cost for plan A.
Plan B will cost $12.
Therefore, Plan B cost more.
Plan B cost $4 more than Plan A ($12 - $8 = $4)
b. Number of minutes that the two will cost the same is the number of minutes at the point where the two lines intercept = 160 minutes.
At 160 minutes, they both cost $16
The plan that will cost less if the time spent exceeds 160 minutes is Plan B.