Day 4 Hand in Power Rule 1) 2) 3) Determine the slope of the tangent to the graph of each function at the indicated value. a) y=6, x=12 b) f(x)=3x x=3 c) glx)= %, x=4 d) h(t) = 4.9t%,t=3.75 e) A(r) = nr?, r=0.9 For each function, determine :i a) y=x b) y=x* ) y:%x2 d y=Vx? 4 8 y== 4 l y=%x A flaming arrow is shot into the air to mark the beginning ofa festival. Its height, in metres, after t seconds is moddelled by the function h(t) = 4.9t> + 25t + 2 a) Determine the height of the arrow at 2s. b) Determine the rate of change of the height of the arrow at 1, 2, 4, and 5s. ) How long does it take the arrow to return to the ground? d) How fast is the arrow travelling when it hits the ground? Explain how you arrived at your answer. e) Graph the function. Use the graph to confirm your answers in parts a) to e)