The following table shows the annual number of PhD graduates in a country in various fields. 1990 1995 2000 2005 2010 Natural Sciences 70 130 330 490 590 Engineering 10 40 130 370 550 Social Sciences 60 110 270 470 830 Education 30 40 130 210 520

Q: 50 (e*-2)(e2x + 1) et dx

A:

Q: y aln(a) – y = 0; y(2) = In(4)

A:

Q: 32 8y%dy y-15 2.

A: The given integral is,

Q: 1 Evaluate dx. 4+e-3а 1 dx 4 + e-3x + C %3D

A:

Q: Find a power series for each of the following, centered at a = 0 for parts (a) - (d) and centered at…

A: The function f(x)  is a rule that associates or fixes a number to the particular point x. Derivative…

Q: Jp-1(x) – Jp+1(x) = 2J,(x), %3D

A:

Q: how did you get the z a/2?

A: how did you get the z a/2?

Q: P(A | B) = 0.1, P(B) = 0.7, P(A | B') = 0.4. Find P(B | A).

A:

Q: IPydx dy 20.

A: To evaluate: ∫02∫13 x3y dxdy

Q: Evaluate e dt 0.2

A: We have to use standard gamma integration here.

Q: (a) / | Va? (а) /a² + x² dx

A: