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Popular >

f(t)=4t^2-5sin(3t)

Solution

f (t) = 4 t^{2} - 5 sin (3 t)

Solution

Domain : - \infty < t < \infty

Y Intercepts : (0, 0)

Asymptotes : None

Inflection Points : (- \frac{arcsin ( \frac{8}{45} )}{3} + \frac{2 πn}{3}, \frac{4 ( - arcsin ( \frac{8}{45} ) + 2 πn ) ^{2}}{9} - 5 sin (- arcsin (\frac{8}{45}) + 2 πn)), (\frac{π}{3} + \frac{arcsin ( \frac{8}{45} )}{3} + \frac{2 πn}{3}, \frac{4 ( π + arcsin ( \frac{8}{45} ) + 2 πn ) ^{2}}{9} - 5 sin (π + arcsin (\frac{8}{45}) + 2 πn))

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

4 t^{2} - 5 sin (3 t) : - \infty < t < \infty

Axis interception points of

4 t^{2} - 5 sin (3 t) :

Y Intercepts

: (0, 0)

Asymptotes of

4 t^{2} - 5 sin (3 t) :

None

Inflection Points of

4 t^{2} - 5 sin (3 t) : (- \frac{arcsin ( \frac{8}{45} )}{3} + \frac{2 πn}{3}, \frac{4 ( - arcsin ( \frac{8}{45} ) + 2 πn ) ^{2}}{9} - 5 sin (- arcsin (\frac{8}{45}) + 2 πn)), (\frac{π}{3} + \frac{arcsin ( \frac{8}{45} )}{3} + \frac{2 πn}{3}, \frac{4 ( π + arcsin ( \frac{8}{45} ) + 2 πn ) ^{2}}{9} - 5 sin (π + arcsin (\frac{8}{45}) + 2 πn))

Popular Examples

f (x) = 2 x^{2} - 8 x + 1

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y = x^{2} + 6 x + 6

f(x)=9sin(x-5)+8

f (x) = 9 sin (x - 5) + 8

y = 8 x + 3

Frequently Asked Questions (FAQ)

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