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1
What is the solution of the initial value problem , y(0)=2?
2
The supply curve of a certain product is given by

what is the producer surplus when 10 units of this product are sold?
3
What is the indefinite integral of
4

evaluate the upper Riemann sum for the partition
5
A company will launch a new mobile phone. The production rate of the new model, after t weeks, is given by the function

where x denotes the quantity of mobile phones produced. At most how many phones will be produced from the second week to the end of the fifth week?
6
What is the area under the graph of

on the interval on the interval
7
Which of the following is antiderivative of e^x+x²?
8
What is the result of
9
Rüya has a budget of 46000tl for a car where she able to buy the model she want for a price of 40000tl. If the demand function for a car is given buy D(q)=46000-15q² , what is the consumer surplus?
10
11
An instrument producer firm will launch a new piano model. The production rate of the new model , after weeks is given by the function

Where denotes the quantity of piano produced. How many pianos will be produced from the beginning of the first week to the end third week?
12
Evaluate the indefinite integral
13
14
15
Which of the following is the value of the integral
16
Assume that supply function for apples is given by S(q)=2+q². What will be the producer surplus when the price is 18?
17
What is the sum of squares of the natural numbers from 1 to 5?
18
What is the dolution of the initial value promlem
19
What is the general solution of
20
Calculate the Gini index for the Lorenz function