Write the vector \( \mathbf{v} \) in terms of \( \mathbf{i} \) and j whose magnitude \( \|\mathbf{v}\| \) and direction angle \( \theta \) are given. \( |\mathbf{v}|=36, \theta=45^{\circ} \) \( \mathbf{v}=\square \) (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractic your answer in the form ai + bj. Rationalize all denominators)

15) If the amplitude for the number \( z=28^{\circ} \), then the amplitude for the number \( \left(\frac{i}{\bar{z}}\right)= \) \( \begin{array}{llll}\text { (a) } 28^{\circ} & \text { (b) } 62^{\circ} & \text { (c) } 118^{\circ} & \text { (d) }-28^{\circ}\end{array} \)

Below is the graph of \( y=x^{3} \) Transform it to make it the graph of \( y=-2(x-4)^{3} \)

\( C_{(f)}=20 .\left(\frac{1}{2}\right)^{\frac{1}{120}} ;(\mathrm{t}= \) en dias \( ) \). n cuanto tiempo la masa se reducirá hasta llegar a pesar 1 g

Below is the graph of \( y=x^{3} \) Transform it to make it the graph of \( y=-2(x-4)^{3} \).

La ecuación de la recta tangente a la hipérbola \( \frac{x^{2}}{6}-\frac{y^{2}}{8}=1 \) en el punto (3,-2): a. \( y=2 x+4 \) a b. \( y=-x-4 \) -c. \( y=x-2 \) d. \( y=2 x+1 \)