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Popular >

f(t)=4sin^2(t)

Solution

f (t) = 4 sin^{2} (t)

Solution

Period : π

Domain : - \infty < t < \infty

Range : 0 \leq f (t) \leq 4

X Intercepts : (πn, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (πn, 0), Maximum (\frac{π}{2} + πn, 4)

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Interval Notation

Domain : (- \infty, \infty)

Range : [0, 4]

Solution steps

Periodicity of

4 sin^{2} (t) : π

Domain of

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

Range of

4 sin^{2} (t) : 0 \leq f (t) \leq 4

Axis interception points of

4 sin^{2} (t) :

X Intercepts

: (πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

4 sin^{2} (t) :

None

Extreme Points of

4 sin^{2} (t) :

Minimum

(πn, 0),

Maximum

(\frac{π}{2} + πn, 4)

Popular Examples

integral of x/(x^2+3x+2)

\int \frac{x}{x ^{2} + 3 x + 2} d x

derivative of arctan(ax^2)

\frac{d}{d x} (arctan (a x^{2}))

integral from 0 to 2 of (x+1)^2

\int_{0}^{2} (x + 1)^{2} d x

implicit (dy)/(dx),y^2=x^3 implicit derivative

\frac{d y}{d x}, y^{2} = x^{3}

limit as x approaches 0 of xln|x|

x \to 0 lim (x ln ∣ x ∣)

Frequently Asked Questions (FAQ)

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