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2. What is the equation of the line tangent to the graph of y = sin2 x at x = ?
3. x dx =
5. If f(x) = , then is
6. What is the approximation of the value of e3 obtained by using the fourth-degree Taylor polynomial about x = 0 for ex?
7. A rock is thrown straight upward with an initial velocity of 50 m/s from a point 100 m above the ground. If the acceleration of the rock at any time t is a = -10 m/s2, what is the maximum height of the rock (in meters)?
8. The sum of the infinite geometric series 2 - +…is
9. What are all values of x for which the series converges?