Question

A 2] Solve the each of the following equalities using graphing technology, state your solutions rounding to two decimal places. a) b) log 3x=4x3 cos2 (x + 1) = 0.5 , over the interval x [0,4]

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Answer #1

a)Using desmos graphing calculator

2 2 4 y=log(32)

Since, the two graphs don't intersect in [0,4].

There is no solution for the given equation.

b)

(1.356, 0.5) (2.927,0.5) 0 2 4 cos2(z +1) 2 у 0.5

Clearly, the two graphs intersect at two points (1.356,0.5) and (2.927,0.5) in [0,4].

Hence,there are two solutions

x= 1.36 and x= 2.93 (rounding to two decimal places)

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