Deneme Sınavı Soruları

Demand function for apples is given by D(q)=40-q² where q denotes the amount in kgs. What will be the consumer surplus if 5kg is purchased?

The speed of a car at time t (in seconds) is given by the formula v(t)=4t. What will be the distance it goes between 6th and 9th seconds?

What is the solution of the initial value problem

with the initial value y(1)=1?

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

What is the area of the plane of the region bounded by the graphs f(x)= x and g(x)=x² + 4 on the interval [0,2]?

What is the general solution of ?

It is known that on the interval [0, 3], the functions f and g satisfy

and

. What is the value of 

If

then what is the value of

What is the result of ∫(x+2)e^x-8dx?

What is the area between the

-axis and the graph of the function

over the interval

What is the general solution of the differential equation

A textile company is faced with the demand function D(t)=(t+7)²+90 for their product of sweat. If consumers are willing to buy 5 unites of this sweat, what is the total utility of maximum price?