# Tutor profile: Sam M.

## Questions

### Subject: Basic Math

Mary needs to order pizza for 18 students. Each student should get ¼ of a pizza. How many pizzas should Mary order? How much pizza will be left!over?

Let x be the number of pizzas needed. 1/4x18/1 = x 4.5 or 9/2 pizzas needed. x = 4.5 or 9/2 pizzas needed.

### Subject: Electrical Engineering

A three-phase synchronous generator produces a 60Hz voltage when it is turned at 1200 rpm. most nearly, how many poles does the generator's stator have?

n = 120f/p p=120f/n p = ((120rev/(min/Hz))(60Hz))/1200 rev/min p = 6

### Subject: Algebra

Taylor's series is used to expand the function f(x) about a=0 to obtain f(b). f(x) = 1/(3x^3 +4x+8) What are the first two terms of Taylor's series?

f(0) = 1/((3)(0)^3 + (4)(0) + 8) =1/8 f'(x) = (9x^2+4)/(3x^3 +4x+8)^2 f'(0) = (9(0)^2+4)/(3(0)^3 +4(0)+8)^2 = -4/64 = -1/16 f(b) = f(a) + (f'(a)/1!)(b-a) = 1/8 + ((-1/16)(b-0))/1 = 1/8 - b/16

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