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1.
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Use the Law of Sines to
solve (if possible) for  . Round your answers to two decimal
places.
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2.
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Use the Law of Sines to
solve (if possible) for  . Round your answers to two decimal
places.
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3.
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Find values for  such that
the triangle has one solution.
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4.
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Determine a value for b such that a triangle
with  and  has only one
solution.
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5.
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Use the law of Cosines to solve the given triangle.
Round your answer to two decimal places.
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6.
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Use the law of Cosines to solve the given triangle.
Round your answer to two decimal places.
  , b =
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7.
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Find  .
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8.
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Find a unit vector in the direction of the given
vector.
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9.
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Find a unit vector in the direction of  .
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10.
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Let w be a vector with initial point  and terminal point  . Write w as a linear combination of
the standard unit vectors i and j.
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11.
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Find the component form of v if  and the angle it makes with the x-axis is  .
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12.
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Find the dot product of u and
v.
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13.
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Use the vector  to find
the indicated quantity. State whether the result is a vector or a scalar.
a. |  ;
vector | b. | 63; scalar | c. | 61; scalar | d. | 59;
scalar | e. |  ;
vector |
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14.
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Use the dot product to find the magnitude of
u.
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15.
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Find the trigonometric form of the complex number
shown below.
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16.
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Find the standard form of the complex number  . Round values to the nearest hundredth.
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17.
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Divide the complex numbers below and leave the
result in trigonometric form.
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18.
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Find the product  using
trigonometric forms. Leave the result in trigonometric form.
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19.
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Use DeMoivre's Theorem to find the indicated
power of the following complex number.
a. | 5,184 | b. | 7,776 | c. | 46,656 | d. | 186,624 | e. | –5,184 |
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20.
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Use DeMoivre's Theorem to find the indicated
power of the following complex number.
a. |  | b. | 2048 | c. | 4,096 | d. | –4,096 | e. |  |
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