Q21 of 60 Page 29

A curve is represented by y = sin x. If x is changed from to find approximately the change in y.

y = sin x



So for a very small change in x = dx, the change in y is dy. Here, x =π/3 and dx = π/100. Hence,



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Give an example for which but

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Draw a graph from the following data. Draw tangents at x = 2, 4, 6 and 8. Find the slopes of these tangents. Verify that the curve drawn is y = 2x2 and the slope of tangent is

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The electric current in a charging R-C circuit is given by where R and C are constant parameters of the circuit and t is time. Find the rate of change of current at (a) t = 0, (b) t = RC, (c) t = 10 RC.

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The electric current in a discharging R-C circuit is given by where R and C are constant parameters and t is time. Let i0 = 2.00 A, R = 6.00 × 105 Ω and C = 0.500 μF. (a) Find the current at t = 0.3 s. (b) Find the rate of change of current at t = 0.3 s. (c) Find approximately the current at t = 0.31 s.