Chapter 6.5, Problem 6QR

Your answer is partially correct. Edit Find the coordinates of all points on the graph of y = 22 – x² at which the tangent line passes through the point (5,0). %3D NOTE: Enter the exact answers. Number of answers: | 2▼ («, у) — | (4.9, —1.5) (4.9, – 1.5) (x, y) =|(1.5, 19.7) eTextbook and Media Hint Assistance Used The point-slope form of the equation of the tangent line to the graph of y = f(x) at the point (xo, f(x0)) is given by y = f(x0) +f' (xo) (* – x0). Given the point which the tangent line must pass through, solve this equation for xo.

If a shark is spotted near to Brighton beach, a lifeguard will activate a siren to wai Siren The sound intensity, I, of the siren varies inversely with the square of the distance, d, from the siren, where d>0. It is known that at a distance of 1.5 metres from the siren, the sound intensity is 4 watts per square metre (Wm). (a) 9. Show that / = (b) Sketch the curve of / on the axes below showing clearly the point (1.5,4). 20 -5-

Cacaulte the derivative