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Unformatted text preview: point, but what does this tell us about our original function? If s = 1 2 t 4-5 t 3 + 12 t 2 , ﬁnd the velocity of the moving object when its acceleration is zero. (3.7.29). A point moves along a horizontal coordinate line in such a way that its position at time t is speciﬁed by s = t 3-3 t 2-24 t-6. Here s is measured in centimeters and t in seconds. When is the point slowing down; that is, when is its speed decreasing? (3.7.37). Find y 00 at (2 , 1) if 2 x 2 y-4 y 3 = 4. (3.8.39). The curve x 2-xy + y 2 = 16 is an ellipse centered at the origin and with the line y = x as its major axis. Find the equations of the tangent lines at the two points where the ellipse intersects the x axis. (3.8.47). Show that the hyperbolas xy-1 and x 2-y 2 = 1 intersect at right angles. (3.8.42)....
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This note was uploaded on 07/17/2008 for the course MATH 151 taught by Professor Any during the Summer '08 term at Ohio State.
- Summer '08