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Popular >

V(t)=3sin(2t-pi/2)

Solution

V (t) = 3 \cdot sin (2 \cdot t - \frac{π}{2})

Solution

Period : π

Domain : - \infty < t < \infty

Range : - 3 \leq f (t) \leq 3

X Intercepts : (\frac{π}{4} + πn, 0), (\frac{3 π}{4} + πn, 0), Y Intercepts : (0, - 3)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, 3]

Solution steps

Periodicity of

3 \cdot sin (2 \cdot t - \frac{π}{2}) : π

Domain of

3 \cdot sin (2 \cdot t - \frac{π}{2}) : - \infty < t < \infty

Range of

3 \cdot sin (2 \cdot t - \frac{π}{2}) : - 3 \leq f (t) \leq 3

Axis interception points of

3 \cdot sin (2 \cdot t - \frac{π}{2}) :

X Intercepts

: (\frac{π}{4} + πn, 0), (\frac{3 π}{4} + πn, 0),

Y Intercepts

: (0, - 3)

Asymptotes of

3 \cdot sin (2 \cdot t - \frac{π}{2}) :

None

Extreme Points of

3 \cdot sin (2 \cdot t - \frac{π}{2}) :

Minimum

(πn, - 3),

Maximum

(\frac{π}{2} + πn, 3)

Popular Examples

f(x)=x^{10}e^{2x}

f (x) = x^{10} e^{2 x}

y = 4 - 2 x

f(x)=(x^2+1)/(x+3)

f (x) = \frac{x ^{2} + 1}{x + 3}

g (x) = \frac{3}{2 x - 1}

f(x)=log_{2}(x+3)+2

f (x) = lo g_{2} (x + 3) + 2

Frequently Asked Questions (FAQ)

What is the V(t)=3*sin(2*t-pi/2) ?
The V(t)=3*sin(2*t-pi/2) is