i am going to need help to solve some questions at 3:00 pm Eastern Time zone!!!
There will be 15 questions.
All I know are the topics that questions are going to come from. Topics attached below…
Derivatives
Exercises-
You should be able to find
1 limit of a rational function as it approaches infinity or when it is indeterminate (1.1)
2 first derivative of polynomial using power ,constant and sum and difference
rules (1.5) y=1lt y=1″> y=-31* = -3/t*
3 Derivatives using product and quotient rule (1.6)
4 Derivatives using chain rule (1.7)
5 Second derivatives (2.2)
6 critical values and partitioning, increasing decreasing function (2.1)
7 local max/min (2.1)
8 absolute max/min open and closed intervals (2.4)
9 derivatives of exponential and natural log functions (3.1 and 3.2)
dP
10 solve diff equation of form = kP (3.3)
dt
WORD PROBLEMS-
1 Given a price demand function and a cost function, express the revenue function and
the profit function then find marginal revenue and marginal profit (2.4)
2 Given cost and revenue functions find Profit and marginal profito
3 absolute max/min for rev, profit, (2.5)open interval use sec deriv
4 revenue trade off problems (2.5) closed interval-test end points critical values
Integrals
Exercises
You should know how to find
1 indefinite integral of polynomials including k ſdx=kx+C (4.1)
2 indefinite integral of ex ekx and 1/x (4.1)
3 indefinite integrals using substitution (4.5)
4 definite integrals using limits (4.3)
5 definite integrals using substitution -either change limits or change back(4.5)
6 partial derivatives(6.2)
Word Problems
1 Given a rate of change function f(x) (cost, rev or profit). Use indefinite integral to
find original class of functions including constant. Use specific x and y data to solve
forconstant and get specific original function. Use the function to solve for any x or
y (4.1)
2 Given a rate of change function use definite integrals to find the change in original
function from x= a to b (4.3-4.4)
3 use integrals to find the average value of a function (4.4)
4 Find the Consumers Surplus given a supply and demand equation(5.2)
5 Find the marginal productivity of capital and labor and interpret the results(6.2)
Overall
10 exercises 5 word problems 110 total point value
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