What is expand u(t-(7pi)/2)*sin(t) ?

The solution to expand u(t-(7pi)/2)*sin(t) is utsin(t)-(7piusin(t))/2

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expand u(t-(7pi)/2)*sin(t)

expand

u (t - \frac{7 π}{2}) \cdot sin (t)

u t sin (t) - \frac{7 π u sin ( t )}{2}

Solution steps

u (t - \frac{7 π}{2}) sin (t)

= u sin (t) (t - \frac{7 π}{2})

Apply the distributive law:

a (b - c) = ab - a c

a = u sin (t), b = t, c = \frac{7 π}{2}

= u sin (t) t - u sin (t) \frac{7 π}{2}

= u t sin (t) - \frac{7 π}{2} u sin (t)

Simplify

u t sin (t) - \frac{7 π}{2} u sin (t) : u t sin (t) - \frac{7 π u sin ( t )}{2}

= u t sin (t) - \frac{7 π u sin ( t )}{2}

y^{''} (x) - (1 + x) y

(A + B) \cdot B^{^{'}}

(\frac{x}{3} + 4)^{5}

(cos (x) - 1) (cos (x) + 2)

\frac{9 x - 21}{x ( x - 7 )}

What is expand u(t-(7pi)/2)*sin(t) ?
The solution to expand u(t-(7pi)/2)*sin(t) is utsin(t)-(7piusin(t))/2