What is expand cos(3t)U(t-(7pi)/2) ?

The solution to expand cos(3t)U(t-(7pi)/2) is tUcos(3t)-(7piUcos(3t))/2

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expand cos(3t)U(t-(7pi)/2)

expand

cos (3 t) U (t - \frac{7 π}{2})

t U cos (3 t) - \frac{7 π U cos ( 3 t )}{2}

Solution steps

cos (3 t) U (t - \frac{7 π}{2})

= U cos (3 t) (t - \frac{7 π}{2})

Apply the distributive law:

a (b - c) = ab - a c

a = cos (3 t) U, b = t, c = \frac{7 π}{2}

= cos (3 t) U t - cos (3 t) U \frac{7 π}{2}

= t U cos (3 t) - \frac{7 π}{2} U cos (3 t)

Simplify

t U cos (3 t) - \frac{7 π}{2} U cos (3 t) : t U cos (3 t) - \frac{7 π U cos ( 3 t )}{2}

= t U cos (3 t) - \frac{7 π U cos ( 3 t )}{2}

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- sin (x y) (y + x \frac{d y}{d x} = 12 y^{2} \frac{d y}{d x} + 6 x)

What is expand cos(3t)U(t-(7pi)/2) ?
The solution to expand cos(3t)U(t-(7pi)/2) is tUcos(3t)-(7piUcos(3t))/2