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Popular >

f(x)=5cos^2(x)

Solution

f (x) = 5 cos^{2} (x)

Solution

Period : π

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq 5

X Intercepts : (\frac{π}{2} + πn, 0), Y Intercepts : (0, 5)

Asymptotes : None

Extreme Points : Maximum (πn, 5), Minimum (\frac{π}{2} + πn, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 5]

Solution steps

Periodicity of

5 cos^{2} (x) : π

Domain of

5 cos^{2} (x) : - \infty < x < \infty

Range of

5 cos^{2} (x) : 0 \leq f (x) \leq 5

Axis interception points of

5 cos^{2} (x) :

X Intercepts

: (\frac{π}{2} + πn, 0),

Y Intercepts

: (0, 5)

Asymptotes of

5 cos^{2} (x) :

None

Extreme Points of

5 cos^{2} (x) :

Maximum

(πn, 5),

Minimum

(\frac{π}{2} + πn, 0)

Popular Examples

limit as x approaches 2 of sqrt(2-x)

x \to 2 lim (2 - x)

integral of (ln(x))/(x^3(ln(x)-1)^3)

\int \frac{ln ( x )}{x ^{3} ( ln ( x ) - 1 ) ^{3}} d x

(d^2)/(dx^2)(1/(x^{11)})

\frac{d ^{2}}{d x ^{2}} (\frac{1}{x ^{11}})

tangent of x^3-5x tangent of

x^{3} - 5 x

integral from 0 to pi of cos(3x)cos(3x)

\int_{0}^{π} cos (3 x) cos (3 x) d x

Frequently Asked Questions (FAQ)

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