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1.Find the equation of the tangent line to the curve y= -x^2 +3x+4 where the slope of the tangent line is 5 2.Give one example

1.Find the equation of the tangent line to the curve y= -x^2 +3x+4 where the slope of the tangent line is 5

2.Give one example of a rate that is decreasing and one example of a rate that is increasing

3.When a vehicle is said to her travelling at -35 km/h, what does this infer?

4.If V represents the volume of an object, what does dV/dt represent?

5.A construction worker accidentally drops a hammer from a height of 90m while working on the roof of a new apartment building. The height, s, in meters, of the hammer after t seconds can be modelled by the function s(t) = 90-4.9t^2, t>0

a. Determine the velocity at 1 s and 4s

b. When will the hammer hit the ground?

c.Determine the impact velocity of the hammer

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