This is A trig assignment not paper. ALL INSTRUCTIONS IN BOTH ATTACHMENTS MUST BE FOLLOWED.1 MATH...

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This is A trig assignment not paper. ALL INSTRUCTIONS IN BOTH ATTACHMENTS MUST BE FOLLOWED.1    MATH 108   Final Exam This exam is worth 120 points.  Questions 1 - 10 are each worth 4 points; do not show your work.   Questions 11 – 20 are each worth 6 points; show your work to earn full credit.  Questions 21 and 22 are  each worth 10 points; show your work to earn full credit. Leave answers in exact form unless otherwise directed to approximate the results.  Write all fractions in  lowest form.  Round decimals to hundredths unless otherwise directed to round. Write answers using  positive exponents except when using scientific notation.  Simplify all radicals and rationalize the  denominators.  Write complex numbers in the form a + bi.  Applied problems must have the variables  identified (Let x =) and an equation for full credit.   Write your answers on the answer sheet provided with this exam.  Do not post this exam in the  assignment folder.  Post only your Answer Sheet in the assignment folder. SHORT ANSWER.  Do not show your work. The following questions are each worth 4 points. Fill in the blank. 1.) What is the exact value of the expression: sin2 17° + cos2 17°?     2.) Find the exact value of tan (cos−1 (− 1 2 )). Select the letter of the one alternative that best completes the statement or answers the question.  For multiple choice questions, check that the answers are all letters (A, B, C, D, or E) and not a value. 3.) Find the sum of the sequence.  ∑ (2000 − 3?) 50 ?=2     A)   5456      B)   96,175     C)   94,174      D)   95,121       E)   none of these 4.) Find the exact value of ||7v - 3w|| if v = -i – 3j and w = 5i - 2j.    A)   √81    B)   √39        C)  √4 + √13      D)  √44 + √13      E) none of these    5.) Identify this conic: ?2 + 4? − 2 = 6? − ?2 − 6.        A)   parabola   B)  circle     C)   ellipse      D)   hyperbola      E) none of these 6.) Find the 14th term of the arithmetic sequence.  3,    7 3 ,    5 3 , …        A)   − 19 3        B)   19 3        C)  − 21 3         D)   21 3                  E) none of these 7.) Solve the right triangle using the information given: ??? ? = 2 9   and α is in  Quadrant IV. Find the exact values of ??? ?  ??? ??? ?.       A)   sin ? = − √77 9 , tan ? = − √77 2     B)  sin ? = − √77 81 , tan ? = − √77 81            C)   sin ? = 5 9 , tan ? = − 5 2             D)   sin ? = − 5 9 , tan ? = 5 2            E)  none of these 2    8.) Solve the system:  { 3? − ? = 5 ? + ? = 1 2  A)   x = − 7 8 , y =  11 8     B)  x =  7 8 , y = -5   C)  x = − 11 8 , y = 5    D)  x =  11 8 , y = − 7 8      E)  none of these 9.)   A local civic theater has 22 seats in the first row and 21 rows in all.  Each successive row contains 3  additional seats.  How many seats are in the civic theater? A)  1090 seats         B)  1070 seats      C)  790 seats           D)  1010 seats         E) none of these 10.)  Use the polar grid function of the Desmos Graphing Calculator or any other graphing calculator to  copy and paste the graph of the polar equation: ? = tan ? 2   on the interval (-2π, 2π).  (3 points)        Also include any one point on the graph of the equation. Label the point. (3 points)          The label should be values, not the letters x and y.   Use the software, do not post a hand-drawn  graph and do not label point by hand.     SHORT ANSWER.  Show your work. The following questions are each worth 6 points. 11.)  Using the Desmos Graphing Calculator or any other graphing calculator, copy and paste the graph  of ? = 1 3 sin (5? + ? 2 ) + 1 on the interval (-2π, 2π).  Identify the amplitude, period, phase shift, and  vertical shift.  Do not post a hand-drawn graph. 12.)     a.  Write the equation in standard form of the conic   9?2 − 4?2 + 54? + 8? + 41 = 0.  Find the center  and the vertices.  Post the equation and points in part b. (3 points)  b.  Using the Desmos Graphing Calculator or any other graphing calculator, plot one graph that        has the conic in Part a and the center and vertices of that graph.  Label the points by giving the  x and y coordinates. Use appropriate domain and range to include the graph of the conic.    Use the software, do not post a hand-drawn graph and do not label point by hand.  (3 points) 13.)    Find the sum of this sequence if it exists:  100 – 10 + 1 – 1/10 +…   If the sum does not exist, state the reason.    14.)    Find the standard form equation of the parabola with directrix y = 3/2 and focus (0, -3/2). 15.)    A small boat leaves the dock and heads across the river at 21 miles per hour (with respect to the  water) at a bearing of S72°W.  The river is flowing due east at 8 miles per hour.  What is the boat’s  true speed? 16.)    Compute the future value of the annuity with payments of $300, the interest rate is 3%, and the  term is 35 years.  Assume the payment is made monthly, the interest rate given is the annual rate,  and the interest is compounded monthly.  (Just show equation with given values and final  calculation.)  17.)    Prove: cot ? + csc ? =  sin ? 1−cos ? . 18.)   If ???(2?) = − 7 25  and  ? 2

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MATH 108	Final Exam
This exam is worth 120 points. Questions 1 - 10 are each worth 4 points; do not show your work. Questions 11 – 20 are each worth 6 points; show your work to earn full credit. Questions 21 and 22 are each worth 10 points; show your work to earn full credit.
Leave answers in exact form unless otherwise directed to approximate the results. Write all fractions in lowest form. Round decimals to hundredths unless otherwise directed to round. Write answers using positive exponents except when using scientific notation. Simplify all radicals and rationalize the denominators.	Write complex numbers in the form a + bi. Applied problems must have the variables identified (Let x =) and an equation for full credit.
Write your answers on this answer sheet. Do not post the exam in the assignment folder. Questions 1 – 2:	Fill in the blank
1.)	 1	
2.)	 	
Questions 3 – 9:

1 MATH 108 Final Exam This exam is worth 120 points. Questions XXXXXXXXXXare each worth 4 points; do not show your work. Questions 11 – 20 are each worth 6 points; show your work to earn full credit....

Answer To: 1 MATH 108 Final Exam This exam is worth 120 points. Questions XXXXXXXXXXare each worth 4 points; do...

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