Chapter 2.2, Problem 57E

Find the volume of the parallelepiped determined by the vectors a = (3, 5, −1), ☎ = (0, 3, 1), c = (2,4,1).

Find the area of a triangle PQR, where P = (-5,6, -1), Q = (1, -3, -2), and R = (-5, -1,4)

17. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.2.050. Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) du 4√3- -4² Need Help? Read It SUBMIT ANSWER 18. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.2.051. Evaluate the integral. (Use C for the constant of integration.) - 49 dx x² +3 Need Help? Read It Watch It SUBMIT ANSWER 19. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.2.057. Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) 25+ x2 dx

Let (5,3,-7) and = (2, -3, -6). = Compute the following: u× u = -4(u xv) ux (-4v) (+v) × v=

Let a = (4, -2, -7) and 6 = (2,5, 3). (ã − ò) × (ã + b) =

Use the graph of the function y = f (x) to find the value, if possible. f(x) 8 7 6 Q5 y 3 2 1 x -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 -1 -2 -3 -4 -5 -6 -7 -8+ Olim f(z) x-1+ O Limit does not exist.

If h(x) = -2x-8 49x2-9 what is lim h(x)? x--00

Question Find the following limit. Select the correct answer below: ○ 0 ○ 3 ○ 6 ∞ 6x + 3e lim 00+2 x 2

What is the limit as x → ∞ of t(x) = = √81x2 -3x+5