MAT135H1 Lecture Notes - Lecture 4: The Tangent
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MAT135H1 Full Course Notes
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Note: the sid smith math aid centre is now open, located in ss 1071 (hours are on course. Note that as x approaches 1, mpq approaches 2: example: find the equation of the tangent line to the parabola y = x2 at the point (1,1) As p and q get closer together, the slope gets closer to 2. The velocity problem: it makes sense to say an object is travelling at 5 m/s, if the velocity is changing, what is the instantaneous velocity, example: suppose a ball is dropped from 450 m above the ground. Find the velocity of the ball after 3s. By physics, the distance travelled by the ball after t seconds is given by the formula s(t) = How we can find average velocity on any interval of time: average velocity = (change in position) / (change in time)