Question 1 Solve the trigonometric equation costx + 2cosx + 1 = 0 on the interval [0, 2TT). Not yet answered Select one: Points out of O a. 2nt 14.29 O b. 3T 2 O C. n O d. 3Tt Information For questions 2 - 3, use the trigonometric equation 3sinx = 2cos2x. Question 2 What should be the first step to solve the equation? Not yet answered Select one: Points out of O a. Combine like terms. 14.29 O b. Factor the terms. O C . Find the angles whose cos equals V3 2 O d. Apply a Pythagorean identity to rewrite the equation in one trigonometric function.Question 3 Solve the trigonometric equation on the interval [0, 3Tt). Select all that apply. Not yet answered Select one or more: Points out of O a. 11 n 14.29 6 O b. 171 6 O c. It 6 O d. 15n 2 O e. 13nt 6 Of. 7n 4Information For questions 4 - 5, use the trigonometric equation tanxsin x = tanx. Question 4 What should be the first step to solve the equation? Not yet answered Select one: Points out of O a. Find the angles whose tan equals 1. 14.29 O b. Set the equation equal to 0 and then factor out the GCF. O c. Apply a Pythagorean identity to rewrite the equation in one trigonometric function. O d. Find the angles whose sin equals 1/2. Question 5 Solve the trigonometric equation on the interval [0, 2x]. Select all that apply. Not yet answered Select one or more: Points out of O a. 2nt 14.28 Ob. It O c. 9TT 4 O d. 3TC 4Information For questions 6 - 7, use the trigonometric equation 3cos x + 4sin2x - 4 = 0. Question 6 Use a Pythagorean identity to rewrite the equation in terms of one trigonometric function. What is the result? Not yet answered Select one: Points out of O a. 14.28 cos 2 X = V3 2 O b. sin2x = 1 O c. cos2x =1 O d. sin2x = -1 Question 7 Use your results from question 6 to solve the equation on the interval [0, 2Tt). Select all that apply. Not yet answered Select one or more: Points out of O a. 3nt 14.28 4 Ob. 2 O c. 5TT 6 O d. It 6 De. 4 Of. 3 TC 2Information For questions 1 - 3, use the vector represented in the graph below. Question 1 Write each vector in component form. Not yet answered Select one: Points out of O a. 12.50 O b. O c. O d. EQuestion 2 Find the magnitude of the vector. Not yet answered Select one: Points out of O a. 4V/5 12.50 O b. 4 O c. 210 O d. 213 Question 3 Find the direction of the vector. Not yet answered Select one: Points out of O a. 116.60 12.50 O b. 243.40 O C. 26.60 O d. 206.60 O e. 63.40Information For questions 4 - 5, use the vector AB where A = (-2, -4) and B = (8,-1). Question 4 Write the vector in component form. Not yet answered Select one: Points out of O a. 12.50 O b. O c. O d. Question 5 Find the magnitude and direction of the vector. Not yet answered Select one: Points out of 12.50 O a. magnitude v 109 and direction 16.70 O b. magnitude v 109 and direction 163.30 O c. magnitude 103 and direction 163.30 O d. magnitude 13 and direction 16.70Question 7 Not yet answered Points out of 12.50 Question 8 Not yet answered Points out of 12.50 Determine whether the vectors below are equal. [ where A =(1, 7) and B= (4,6) 50' where C=(-9, 2) and D= (-6, 3) Select one: 0 a. The vectors are not equal because they have different magnitudes and directions. 0 b, The vectors are not equal because they have the same magnitude, but different directions. 0 c. The vectors are not equal because they have different magnitudes, but the same directions. 0 d. The vectors are equal because they both have magnitude \\/ 10 and direction 161.60. 0 e. The vectors are equal because they both have magnitude / 10 and direction 18.40. Determine whether the vectors below are equal. A_ where A = (3, 7) and B = (4,-6) ES where C=(6, 16) and D=(5, 3) Select one: 0 a. The vectors are not equal because they have the same magnitude, but different directions. 0 b. The vectors are equal because they both have magnitude x/ 170 and direction 85.60. 0 c. The vectors are not equal because they have different magnitudes and directions. 0 d. The vectors are not equal because they have different magnitudes, but the same directions. 0 e. The vectors are equal because they both have magnitude x/ 170 and direction 374.40, Information For questions 1 - 2, use the vectors v = and u = . Question 1 What is the component form of -2v + 4u? Not yet answered Select one: Points out of O a. 12.50 O b. O c. O d. Question 2 What is the component form of 3v -6u? Not yet answered Select one: Points out of O a. 12.50 O b. O c. O d. For questions 3 - 5, vectors a and b have magnitude 6 and 10, respectively. Question 3 Which of the following diagrams represent the resultant vector for a + b? Not yet answered Select one: Points out of 12.50 O a . b O b. O c. a b O d. aQuestion 4 The angle between the vectors is 460. Which of the following expressions can be used to find the magnitude of the resultant Not yet vector? answered Points out of 12.50 Select one: O a. x2 = 62 - 102 - 2 . 6 . 10cos1340 O b. x2 = 62 +102 - 2. 6. 10cos460 O c. X2 = 62 + 102 - 2 . 6 . 10cos1340 O d. x2 = 62 - 102 - 2. 6 . 10cos460 O e. x2 = 62 + 102 - 2 . 6 . 10sin1340 Question 5 A bird flying due north at 15 miles an hour with a cross tailwind of 3 mph heading NE. What is the magnitude of the resulting Not yet vector? answered Points out of Select one: 12.50 O a. 12.3 miles per hour O b. 13 miles per hour O c. 12 miles per hour O d. 13.1 miles per hourQuestion 6 Carmen has two dogs, Chip and Charlie, that like to pull her during walks. As she walks the dogs, Charlie pulls her at a force of 45 Not yet N and Chip pulls her at a force of 27 N. How hard does Carmen need to pull so that she stays balanced if they pull in different answered directions with an angle of 50? Points out of 12.50 Select one: O a. 65.7 N O b. 59.6 N O c. 29.9 N O d. 34.5 N Question 7 There are two vectors with magnitudes of 10 and 17 and an angle of 280 between them. What is the magnitude of the resulting Not yet vector? answered Points out of Select one: 12.50 O a. 13.7 O b. 9.4 O c. 7 O d. 26.3Question 8 Two forces are pulling in different directions at a 150 angle. One force is a force of 60 / and the other force is 35 N. What is the Not yet amount of force of the resulting vector? answered Points out of Select one: 12.50 O a. 34.5 N O b. 48.7 N O c. 92.0 N O d. 69.5 N