Suppose we want to choose 5 objects, without replacement, from 15 distinct objects. (a) How many ways can this be done, if the order of the choices matters? (b) How many ways can this be done, if the order of the choices does not matter?

Select all of the following expressions that are equal to 2.5.

Nright triangle xyz, the right angle is located at vertex y. the length of line segment xy is 12.4 cm. the length of line segment yz is 15.1 cm. which is the approximate measure of angle yzx?

Find the local maximum and minimum values and saddle point(s) of the function. if you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function 5. f(x, y) xy y + y 6. f(x, y)-xy 2x 2y x-y 7. f(x, y) x-y)1 - xy) 8. f(x, y)y(e- ) 9. f(x, y)-x y* + 2xy 10. f(x, y) 2 x* + 2x? - y? 11. f(x, у) — х* — зк + 3ку? 12. f(x, y)xy3 - 3x2 - 3y2 - 9x 13. f(x, y) — х* — 2х? + у? — зу 14. f(х, у) — у сos x 15. f(x, y)e cos y 16. f(x, y)xye-lw? +y2\/2_ 17. f(x, y)xy e° 18. f(x, y)(x2y')e 19. f(x, y)y2 2y cos x, -1 7 20. f(x, y)sin x sin y, -