Q3) 12pts Find the area between the two curves f (x) = X - 3 and g (x) = x²
Bounded by X = - 1 and X = 4
- include a sketch of the region
Q4) 15pts express answer either as fraction or to 3 decimal places ( Y .XXX)
Riemann Sum for the function f (x) = 4x³ over the interval [0, 2]
Complete the following table and evaluate the Riemann sum for f (x) when n=4:
(Fill out values as you would for a spread sheet)
Recommended to use left endpoint for test point:
i sub-region xi f(xi) width Area
Q5) 5pts In words:
Describe what happens when the 'n' in a Riemann sum is increased?
How does this impact the answer?
A store finds that its sales revenue changes at a rate given by:
S' (t) = - 30t² + 360t dollars per day
Where t is the number of days after an advertising campaign ends and 0 t < 28.
Find the total sales between day 5 and day 10 after the campaign ends:
Q7) 10pts A production firm measures their costs in US Dollars and has been able to quantify their marginal cost function:
Marginal Cost = 300 + 40q
Where q = quantity produced and sold daily (in units).
If it is known that the cost of producing and selling 10 units is $12000, what is the cost of producing and selling 20 units?
Suppose that a company has a continuous income stream of f (t) = $90e3t An investor is thinking of purchasing the company, and needs to know what the present value and future value of the company are over the next In 3 years (time range 0 t In(3)). If interest rates are currently at 200%:
What is the total income?
What is the present value of the company?
What is the future value of the company?
The demand function for a product is p = 49 - x2 and the supply function is p = 4x + 4.
Find the equilibrium point and the producer's surplus.
These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice. Unethical use is strictly forbidden.
By purchasing this solution you'll be able to access the following files: