Why did euler enter the paris academy of sciences prize problem competition?

Find cot x if sin x cot x csc x = √2

The dash figure is a dilation if the original figure. find the scale factor. classify the dilation as an enlargement or a reduction

Find the difference in area between the circle and the triangle. click on the answer until the correct answer is showing. possible answers: a = 4 pi - 8a = 9 pi - 9/2 √3a = 16/3 pia = 16a = 27 pi