Q: Suppose we are pumping air into a spherical balloon at a rate of 50π ft3 per minute. How fast is the balloon’s diameter increasing at the instant the radius

Q: Suppose we are pumping air into a spherical balloon at a rate of 50π ft3 per minute. How fast is the balloon’s diameter increasing at the instant the radius is 5 ft? How fast is the surface area increasing? Q: – Find equations for the tangent and normal to the equation y2(2 − x) = x3 at (1, 1) Q: Assume that a particle’s position on x-axis is given by x = 3 cost + 4 sin t where x is measured in feet and t is measured in seconds. (a) Find the particle’s position when t = 0, t = π/2, and t = π (b) Find the particles velocity when t = 0, t = π/2, t = π (c) Do the same with speed and acceleration. Q: Find all points (x, y) on the graph of y=x/x-2 with tangent lines orthogonal (perpendicular) to the line y = 2x – 3.

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