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Mathemania

Mathemania. The 104 Challenge. Review for the Final. Review for the Final. Graphs. Polar Form. Functions. Triangles. Leftovers. 5. 5. 5. 5. 5. 10. 10. 10. 10. 10. 25. 25. 25. 25. 25. 50. 50. 50. 50. 50. 100. 100. 100. 100. 100. Final Round. Triangles.

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Mathemania

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  1. Mathemania The 104 Challenge Review for the Final Review for the Final Graphs Polar Form Functions Triangles Leftovers 5 5 5 5 5 10 10 10 10 10 25 25 25 25 25 50 50 50 50 50 100 100 100 100 100 Final Round

  2. Triangles

  3. 5 Point Question What is the Pythagorean Theorem? In any right triangle, the sum of the squares of the sides is equal to the square of the hypotenuse. Check Work Go Home

  4. 10 Point Question In the triangle ABC, C = 90o, A = 25o and a = 3. Find b. b = 6.433 Check Work Go Home

  5. 12 cm 102o c 38o 25 Point Question Find c in the triangle below: 11.49 Check Work Go Home

  6. 50 Point Question Find the length of the missing side in the triangle below. 10 cm 68o 13 cm 13.099 cm Check Work Go Home

  7. 100 Point Question Find all three missing angles in the triangle below. A 14 5 11 B C A = 44.42o B = 18.54o C = 117.04o Check Work Go Home

  8. Graphs

  9. 5 Point Question The graph of a polynomial falls to both the left and right. What can we tell about the polynomial? It has an even degree and negative leading coefficient. Check Work Go Home

  10. 10 Point Question Sketch the graph of y = 3cos(2x) – 5. period is Pi, amplitude is 3, midline is -5. It starts at (0,-2). Check Work Go Home

  11. 25 Point Question Find the equation for a sine function that matches the graph below. (π/4, 4) (9π/4,4) Y = 2sin(x-π/4) +4 Check Work Go Home

  12. 50 Point Question Find the equation for the polynomial function graphed below. Y = -2(x-3)(x+1)2 (0,6) Check Work Go Home

  13. 100 Point Question Find the equation for the rational function graphed below. (0,-9) Y = -2(x2-9)/(x2-x-2) Check Work Go Home

  14. Polar Form

  15. 3 30o 5 Point Question Plot the polar point (3, 1500). Check Work Go Home

  16. 10 Point Question Convert the point (-8,-6) to polar coordinates. (10, 216.90) Check Work Go Home

  17. 25 Point Question A plane flies N 150 W at a speed of 260 miles per hour. Write the plane’s velocity vector in component form. -67.29i + 251.14j Check Work Go Home

  18. 50 Point Question Write the complex number 5 – 3i in polar form. Check Work Go Home

  19. 100 Point Question Compute (1 – i)1/3. Write your answer in polar form. 21/6 e-πi/12 Check Work Go Home

  20. Functions

  21. 5 Point Question What type of function is this? F(x) = 3x-2 A power function Check Work Go Home

  22. 10 Point Question Find the equation for the power function that passes through (1, 5) and (5, 1/25) F(x) = 5x-3 Check Work Go Home

  23. 25 Point Question Graph the polynomial f(x) = 3(x - 3)3 (x + 20), labeling all zeros, y-intercepts and asymptotes. (3,0), (-20,0), (0,-1620) Check Work Go Home

  24. (-4,0) 50 Point Question Sketch the graph of Asymptotes y = 0, x=2, and x=-5, (which doesn’t show well) Intercept Points: (-4,0),(0,1/5) Check Work Go Home

  25. 100 Point Question Find the exact value of cos-1(cos(28π/25)). 22π/25 Check Work Go Home

  26. Leftovers

  27. 5 Point Question U = 3i – 5 j, V = 4i – 2j. Find the dot product of the vectors U and V. 22 Check Work Go Home

  28. 10 Point Question What is the equation for a rose curve with 8 petals of length 3. R=3cos(4Θ) Check Work Go Home

  29. 25 Point Question Solve the equation: tan(2Θ) = √3. Θ = π/6 + πk/2 Check Work Go Home

  30. 50 Point Question Solve the equation: sin(x) + 2cos2(x) = 2 x = πk, π/6 + 2πk, 5π/6 + 2πk Check Work Go Home

  31. 100 Point Question Verify the identity: sure enough… Check Work Go Home

  32. Final Question A 235 lb weight is suspended by two cables as shown in the diagram. Find the force in each cable. • Cable on right: 222 lbs. • Cable on left: 141.8 lbs  54o 23o Check Work 235 lbs Go Home

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