## DIFFERENTIAL CALCULUS PLATES FOR 6:30 and 7:30 CLASSES

Please submit on or before 12:00 nn of January 6, 2013. Those submitted after the said date and time will be marked zero (0).

1. At what values of x does the graph of y = sec x have a horizontal tangent?

2. Find the derivate of Csc (3x - 5).

3. Find the first derivative of y = cos x / 1 - sin x.

4. Find an equation of the tangent line at the point P = (1, 1) on the curve y4 + xy = x3 − x + 2

5. Find y' if y = sin( cos x)

6. A person x inches tall has a pulse rate of y beats per minute, as given approximately by

y = 590x-1/2          30 X 75

What is the instantaneous rate of change of pulse rate at the
(A) 36-inch level?
(B) 64-inch level?

7. Suppose that a person learns y items in x hours, as given by y = 50x,

X ≤ 9

Find the rate of learning at the end of (A) 1 hour (B) 9 hours

GOOD LUCK.

MERRY CHRISTMAS AND HAPPY NEW YEAR

LEO
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