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  3. 1. an astronaut with a spaceship moves from left t

1. An astronaut with a spaceship moves from left to right following the curve y =...

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Basic Math

1. An astronaut with a spaceship moves from left to rightfollowing the curve y = x^2. When he turns off the engine, thespacecraft will move along the tangent line at the point where heis at that moment. At what point does he have to turn off theengine to reach the point (4,15)?

6) There are two tangents to the function graph y = 4x − x^2through the point (2,5). Determine the tangent equation. Hint:Suppose the contact point is (x0, y0), get two conditions that mustbe met by that point.

7) An ant goes from left to right along the top of the functiongraph y = 7 − x^2. A spider waits for ants at point (4, 0). Lookfor the distance between ants and spiders the first time they seeeach other.

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