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Popular >

y=10sin(2t+3)

Solution

y = 10 sin (2 t + 3)

Solution

Period : π

Domain : - \infty < t < \infty

Range : - 10 \leq f (t) \leq 10

X Intercepts : (- \frac{3}{2} + π + πn, 0), (\frac{π}{2} - \frac{3}{2} + πn, 0), Y Intercepts : (0, 10 sin (2 \cdot 0 + 3))

Asymptotes : None

Extreme Points : Minimum (- \frac{3}{2} + \frac{3 π}{4} + πn, - 10), Maximum (\frac{- 6 + 5 π}{4} + πn, 10)

+1

Solution steps

Periodicity of

10 sin (2 t + 3) : π

Domain of

10 sin (2 t + 3) : - \infty < t < \infty

Range of

10 sin (2 t + 3) : - 10 \leq f (t) \leq 10

Axis interception points of

10 sin (2 t + 3) :

X Intercepts

: (- \frac{3}{2} + π + πn, 0), (\frac{π}{2} - \frac{3}{2} + πn, 0),

Y Intercepts

: (0, 10 sin (2 \cdot 0 + 3))

Asymptotes of

10 sin (2 t + 3) :

None

Extreme Points of

10 sin (2 t + 3) :

Minimum

(- \frac{3}{2} + \frac{3 π}{4} + πn, - 10),

Maximum

(\frac{- 6 + 5 π}{4} + πn, 10)

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y= 1/((sqrt(2x+10)))

y = \frac{1}{( 2 x + 10 )}

y=((sqrt(x)+6x))/((sqrt(x)))

y = \frac{( x + 6 x )}{( x )}

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