Shadab test question
Question
(a) Find the interval where g¢ (t) > 0.
(4)
(b) Find the interval where g² (t) > 0 and the interval where g² (t) < 0.
(5)
(c) Find the value of t where the graph of g (t) has a point of inflexion.
(3)
(d) Let t* be a value of t for which g¢ (t*) = 0 and g² (t*) < 0. Find t*.
(3)
(e) Find the point where the normal to the graph of g (t) at the point
(t*, g (t*)) meets the t-axis.
Answer
(a) Find the interval where g (t) > 0. (4) (b) Find the interval where g (t) > 0 and the interval where g (t) < 0. (5) (c) Find the value of t where the graph of g (t) has a point of inflexion. (3) (d) Let t* be a value of t for which g (t*) = 0 and g (t*) < 0. Find t*. (3) (e) Find the point where the normal to the graph of g (t) at the point (t*, g (t*)) meets the t-axis.
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