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Calculator Test Solutions:

    A.) Solve:

  1.     [[((7.3²[(51)^-2.5+(87)^.2]^1/3(6.73)²)/((7.2x10^-3)+[7.8+0.3cos(45^°)])]]^Log76 = 8.033x10^-4

    2.     [[([(1.37x10³⁰)^1/3+(3.6x10⁵)²]^1/2Ln e²)/((1.57x10¹²)(2.65-0.71tan 67^°)Log 106)] =  5.83x10^-14

    3.    [([cos 86^°)³+(sin 66^°)³]^1.8Ln 19.3)/([(6.67x10³)(Log 23.12+sin 45^°)]^.18)] =  .327

 
  4.    [((9.6 tan 61^°)^1/3)/(5.25(e³+Ln 56)²)]-[(sin(p rad+29^°))/(1.86(e^-1.8+6.74)²)] =  6.31x10^-3

    B.) Convert from Rectangular to Polar Coordinates:

  1.           (0.45x10⁴,0.62x10⁴)   r = 7661   q = .943 Radians

  2.           (-178.4,-189.6)   r = 260.3   q = -133.3 degrees

  3.          (-6.3,-8.1)   r=10.3    q=127.87 degrees

  C.) Convert from polar to rectangular coordinates:

  1.)     63 @ +296.0 degrees              (27.62,-56.62)

  2.)       9.7x10² @ -2.6 radians          (-831.18,-500.04)

  3.)      0.98x10² @ 110 degrees          (-33.52,92.09)

  D.) Solve

  1.) [(Öp)/4.2] = [[7.8/8.5]]^[k/(k-8)]    where k=9.8    p = 6.92

  2.) ([1.8/4])⁴ = [[109/217]]^[k/(k+2.0)]    where k = 3.2    v = 2.00

  3.) [[7/x]][[7/x]]^2k+2 = 21.0    where x = 49.0     k = -228

  4.) ([8.2x/9])^k = ([4.3/5.1])^k-1    where k = 36.1     x = .930

  E.) Solve: Arctan(1.98) =    1.103 radians.

                    sin^-1[cos(pradians+16^°)] =   -1.29 radians.

  F.) Solve:

  1.) Log y^12.8 = Log y+6.18       y=3.34

  2.) y = Log(8.8x10^21.6)         y=22.54

  3.) y = 3.7728-108.7Log e^10.1      y=-473.02

  4.) 9Log(y)^1/3+Log(y) = 236.0      y= 1x10⁵⁹

  5.) y = Log₆22      y=1.73

  G.) Solve:

  1.) [((4.6x10^-22)^Log 11)/((10.6x10¹⁰⁶)(e^1.5))] = 2.55x10^-129

  2.) [((e²⁰⁶)(2.80x10⁹))/((Log .37)²e^-8)] = 1.31x10¹⁰³

  H.) Matrix Multiplication:

[

1	0	3
1	6	2
4	1	6
4	1	5

]x é
ê
ê
ê
ê
ë

0	1	6
2	0	4
4	1	2

ù
ú
ú
ú
ú
û = é
ê
ê
ê
ê
ê
ë

12	4	12
20	3	34
26	10	40
22	9	38

ù
ú
ú
ú
ú
ú
û