34. [0/1 Points] DETAILS MY NOTES LARPCALC10 4.7.052.MI. Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.) \( \cos \left(\arcsin \left(\frac{15}{17}\right)\right) \)

Q4) Evaluate the given expressions. In Exercises \( 5-6 \), evaluate the given expression with \( \mathbf{u}=(-2,-1,4,5), \mathbf{v}=(3,1,-5,7) \), and \( \mathbf{w}=(-6,2,1,1) \). \( \begin{array}{ll}\text { 5. (a) }\|3 \mathbf{u}-5 \mathbf{v}+\mathbf{w}\| & \text { (b) }\|3 \mathbf{u}\|-5\|\mathbf{v}\|+\|\mathbf{w}\| \\ \text { (c) }\|-\| \mathbf{u}\|\mathbf{v}\| & \\ \text { 6. (a) }\|\mathbf{u}\|+\|-2 \mathbf{v}\|+\|-3 \mathbf{w}\| & \text { (b) }\|\| \mathbf{u}-\mathbf{v}\|\mathbf{w}\|\end{array} \)

Graph this line using the slope and \( y \)-intercept: \[ y=\frac{1}{10} x+8 \] Click to select points on the graph.

\( \left. \begin{array} { c c } { - A = \left( \begin{array} { c c c } { 3 } & { 1 } & { 3 } \\ { - 1 } & { 0 } & { - 1 } \\ { 2 } & { 5 } & { 3 } \end{array} \right) } & { B = \left( \begin{array} { c c c } { 7 } & { 3 } & { - 1 } \\ { 2 } & { 8 } & { 7 } \\ { - 1 } & { - 2 } & { - 3 } \end{array} \right) } \\ { A \times B } & { A + B } \\ { B \times A } & { B - A } \end{array} \right. \)

Question A company sells widgets. The amount of profit, \( y \), made by the company, is related to the selling price of each widget, \( x \), by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar. \[ y=-9 x^{2}+501 x-3650 \] Answer Attempt r out of 2

\( 5 x^{2}+10 x y \) por \( 9 x y^{2} \)