Question: h(x) = sin 2x + e4x a. Show that there is a stationary point, , of y = h(x) in the interval 0.9 < x

h(x) = sin 2x + e4x

a. Show that there is a stationary point, α, of y = h(x) in the interval −0.9 < x < −0.8.

b. By considering the change of sign of h'(x) in a suitable interval, verify that α = −0.823 correct to 3 decimal places.

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