Solve (D² - 2D + 5)y = 0

Given f(t) 3e^-5tu(t), what is the Fourier transform of f(t)?

Express the complex number √3 + i in exponential form:

Simplify the expression i¹⁹⁹⁷ + i¹⁹⁹⁹ , where i is an imaginary number.

Given f(t) = 10 sin t, what is the Fourier transform of f(t-2)?

Find the quotient of 2+3i/3-4i.

Solve for y:

The area of a triangle inscribed in a circle of radius 9 cm. is equal to 43.23 square cm. If one of the sides of the triangle is 18 cm, find one of the other two sides.

The corners of a cubical book touched the closed spherical shell that encloses it. The volume of the box is 2744 cm³. What volume in cm³ inside shell is not occupied by the block?

The distance between the center of the three circles which are mutually tangent to each other externally are 10, 12, and 14 units. Find the area of the largest circle.