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Popular >

f(t)=20cos(36t)cos(6t)

Solution

f (t) = 20 cos (36 t) cos (6 t)

Solution

Period : \frac{π}{3}

Domain : - \infty < t < \infty

X Intercepts : (\frac{π}{72} + \frac{πn}{3}, 0), (\frac{5 π}{72} + \frac{πn}{3}, 0), (\frac{π}{8} + \frac{πn}{3}, 0), (\frac{13 π}{72} + \frac{πn}{3}, 0), (\frac{17 π}{72} + \frac{πn}{3}, 0), (\frac{7 π}{24} + \frac{πn}{3}, 0), (\frac{π}{24} + \frac{πn}{3}, 0), (\frac{7 π}{72} + \frac{πn}{3}, 0), (\frac{11 π}{72} + \frac{πn}{3}, 0), (\frac{5 π}{24} + \frac{πn}{3}, 0), (\frac{19 π}{72} + \frac{πn}{3}, 0), (\frac{23 π}{72} + \frac{πn}{3}, 0), (\frac{π}{12} + \frac{πn}{3}, 0), (\frac{π}{4} + \frac{πn}{3}, 0), Y Intercepts : (0, 20)

Asymptotes : None

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Periodicity of

20 cos (36 t) cos (6 t) : \frac{π}{3}

Domain of

20 cos (36 t) cos (6 t) : - \infty < t < \infty

Axis interception points of

20 cos (36 t) cos (6 t) :

X Intercepts

: (\frac{π}{72} + \frac{πn}{3}, 0), (\frac{5 π}{72} + \frac{πn}{3}, 0), (\frac{π}{8} + \frac{πn}{3}, 0), (\frac{13 π}{72} + \frac{πn}{3}, 0), (\frac{17 π}{72} + \frac{πn}{3}, 0), (\frac{7 π}{24} + \frac{πn}{3}, 0), (\frac{π}{24} + \frac{πn}{3}, 0), (\frac{7 π}{72} + \frac{πn}{3}, 0), (\frac{11 π}{72} + \frac{πn}{3}, 0), (\frac{5 π}{24} + \frac{πn}{3}, 0), (\frac{19 π}{72} + \frac{πn}{3}, 0), (\frac{23 π}{72} + \frac{πn}{3}, 0), (\frac{π}{12} + \frac{πn}{3}, 0), (\frac{π}{4} + \frac{πn}{3}, 0),

Y Intercepts

: (0, 20)

Asymptotes of

20 cos (36 t) cos (6 t) :

None

Popular Examples

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f (x) = 2^{x - 2} - 4

f (t) = e^{- 6 t}

Frequently Asked Questions (FAQ)

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