Find the integral

Given that 

is constant function, find the value of f(2017).

Evaluate the indefinite integral

Which of the following is the general solution of the ODE

What is the domain of f which is defined by y=f(x) and xy+y=8?

and h(x)=2x²+3. 

Which of the following statement corresponds to 

Consider the following ODE subject to an initial condition

subject to an initial condition y(5)=1000, C=?

What is the solution of the initial value problem

with the initial value y(0)=1?

If the marjinal revenue for selling   units of a product is defined by

what is the total revenue if the sale increases  from 5 units to 10 units?

If the supply function of a certain commodity is given by

what is the producer surplus  when the price

A consumer is willing to pay 150000 for a new certain model of car of which demand function is

If this consumer is able to buy this car for a price 145.500, then what is the consumer surplus?

A unit change in the production cost of a computer produced at a number of x units is given by C' (x) = 

If the number of computers to be produced increases from 100 to 300, find the increase in the total cost?

What is the area of the plane region bounded by the graphs of

on the interval

The supply curve of a certain product is given by

What is the producer surplus when 40 units of this product are sold?

A radioactive isotope has a half-life of 4 days. You wish to have 10g at the end of 16 days. How much radioisotope should you start with? Round your answer to 1 decimal place. 

What is the solution to the integral

Calculate the Gini index for the Lorenz function

What is the solution of the initial value problem