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

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

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

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

Solutions

Expert Solution

The picture not accurate; this are drawn just to understand why we are taking that point and not taking other point

milcah answered 1 year ago

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