# Tutor profile: Kasey L.

## Questions

### Subject: Biology

How many chromosomes do humans have? In mitosis, how many chromosomes are in each daughter cell? How about in meiosis? At what phase is chromosomal DNA duplicated? At what phase of mitosis are sister chromatids pulled apart?

Part 1: 23 pairs of chromosomes, total of 46 Part 2: 23 pairs of chromosomes, total of 46 Part 3: 23 individual chromosomes, total of 23 Part 4: Interphase (S phase) Part 5: Anaphase

### Subject: Calculus

Find the derivative of f(x) = (7x^2)/(3-x) using the quotient rule. Find the derivative of g(x) = e^(1-sin(x)).

Using the quotient rule for part 1: f'(x) = [14x(3-x) - (7x^2)(-1)] / [(3-x)^2] f'(x) = [42x-14x^2 +7x^2] / [(3-x)^2] f'(x) = [42x-7x^2] / [(3-x)^2] Using the chain rule for part 2: g'(x) = -cos(x) * e^(1-sin(x)).

### Subject: Physics

A rabbit can leap 0.6 meters vertically. What is its takeoff speed and its total time spent in the air?

g = -9.8 m/s^2 v_f = 0 m/s y = 0.6 m v_i = ? t = ? To find initial velocity: v_f^2 = v_i^2 + 2*g*y 0^2 = v_i^2 + (2 * -9.8 * 0.6) 0 = v_i^2 - 11.76 v_i^2 = 11.76 v_i = 3.4 m/s To find time spent in the air: v_f = v_i + a*t 0 = 3.4 + (-9.8)*t -3.4 = -9.8*t t = 0.35 s

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