# Tutor profile: Donald L.

## Questions

### Subject: Pre-Calculus

Match the equations (1-4) below to the description of their graph (i-iv). 1) y = x 2) y = x^2 3) y = x^3 4) y = 1/x i) hyperbola ii) parabola iii) straight line iv) cubic

1) Goes with (iii) straight line 2) Goes with (ii) parabola 3) Goes with (iv) cubic 4) Goes with (i) hyperbola

### Subject: Mechanical Engineering

Typical problems would include a diagram of forces that interplay. Since that is not an option, just a basic question, what do mechanical engineers do?

Mechanical engineers are maybe the most diverse engineers. They do everything from designing and manufacturing small parts to building large energy generating or energy-using systems, such as power facilities, HVAC and refrigeration facilities, and aircrafts.

### Subject: Calculus

What is the derivative of (4x^2) * (x^3 + 5)?

f(x) = (4x^2)*(x^3 + 5) f'(x) = (8x)(x^3 + 5) + (4x^2)(3x^2 + 5) f'(x) = 8x^4 + 40x + 12x^4 + 20x^2 ANS: f'(x) = 20X^4 + 20x^2 + 40x

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