Straighterline MAT201 PRECALCULUS GRADED EXAM 1 (New Version August 2024)

Question 1 Incorrect 0.00 points out of 6.25   Suppose that the # key is pressed on a phone keypad. a. Write a function representing this sound as the sum of two sine waves. b.Write a function representing this sound as the product of sines and cosines. Select one: a. a. b. b. a. b. c. a. b. d. a. b. y = sin(2πlt) + sin(2πht) l h y = sin(1882πt) + sin(2954πt) y = 2sin(2418πt)cos(536πt) y = sin(941πt) + sin(1477πt) y = 2sin(2418πt)cos(536πt) y = sin(1882πt) + sin(2954πt) y = 2cos(1209πt)sin(268πt) y = sin(941πt) + sin(1477πt) y = 2cos(1209πt)sin(268πt) Straighterline PRECALCULUS GRADED EXAM 1 (New Version August 2024) We are a team of experts offering course/class attendance (including final proctored exams!!) for all Straighterline, Online ATI, HESI, NCLEX, Portage Learning, Sophia, Nursing, Business etc courses. We also write essays, discussion posts, research papers and school assignments. Should you need any of these services, Contact us via email: or : +1 (540) 753-5914. Guaranteed Passing!Question 2 Correct 6.25 points out of 6.25 Question 3 Correct 6.25 points out of 6.25 Provide the missing information. and ________________. Select one: a. b. c. d. Simplify the expression. Write the final form with no fractions. Select one: a. b. c. d. sin (−x) = −sin x, cos(−x) = cos x tan (−x) = −tan x sin x −cos x tan x tan2 x + 2tan x + 1 tan2 x + tan x 1 + tan x 1 + cot x 1 + csc x tan x 8/21/24, 6:11 PM Graded Exam #3: Attempt review Correct 6.25 points out of 6.25 Question 5 Correct 6.25 points out of 6.25 Write the trigonometric expression as an algebraic expression in and . Assume that and are Quadrant angles. Select one: a. b. c. d. Use an addition or subtraction formula to find the exact value. Select one: a. b. c. d. x y x y I cos(sin−1 x − cos−1 y) y√−1−−−−y−2 + x√−1−−−−x−2 x√−1−−−−y−2 + y√−1−−−−x−2 y√−1−+−−y−2 − x√−1−+−−x−2 y√−1−−−−y−1 + x√−1−−−−x−1 tan − tan 11π 12 3π 4 1 + tan 11π ⋅ tan 12 3π 4 −√3 – − √3 – 3 √3 – –3 √ 3 8/21/24, 6:11 PM Graded Exam #3: Attempt review Correct 6.25 points out of 6.25 Question 7 Correct 6.25 points out of 6.25 Use the half-angle formula to find the exact value. Select one: a. b. c. d. Use the half-angle formula to find the exact value. Select one: a. b. c. d. cos 15π 8 − √−2−−−−√−−3 – 2 √−2−−−−√−−3 – 2 √−2−−−−√−−2 – 2 √−2−+−−√−−2 – 2 sin 195∘ − √−2−−−−√−−3 – 2 − √−2−−−−√−−2 – 2 √−2−−−−√−−2 – 2 √−2−−−−√−−3 – 2 8/21/24, 6:11 PM Graded Exam #3: Attempt review Correct 6.25 points out of 6.25 Question 9 Correct 6.25 points out of 6.25 Use a product-to-sum formula to find the exact value. Select one: a. b. c. d. Solve the equation over the interval . Select one: a. b. c. d. cos 37π sin 24 5π 24 − √2 – + √3 – 4 − 1 + √2 – 4 1 + √2 – 4 − √3 – √2 – 4 [0, 2π) 15 cos2 x + 7 cos x − 4 = 0 {cos−1 ( − 1 3 ), π + cos−1 ( − 1 3 ), cos−1 ( 4 5 ), π + cos−1 ( 4 5 )} {cos−1 ( 1 3 ), π + cos−1 ( 1 3 ), cos−1 ( − 4 5 ), π + cos−1 ( − 4 5 )} {cos−1 ( − 1 3 ), 2π − cos−1 ( − 1 3 ), cos−1 ( 4 5 ), 2π − cos−1 ( 4 5 )} {cos−1 ( 1 3 ), 2π − cos−1 ( 1 3 ), cos−1 ( − 4 5 ), 2π − cos−1 ( − 4 5 )} 8/21/24, 6:11 PM Graded Exam #3: Attempt review Correct 6.25 points out of 6.25 Question 11 Incorrect 0.00 points out of 6.25 Use a graphing utility to solve the equation. Round the solutions to decimal places. Select one: a. b. c. d. Find the bearing of the ship for the given values of and . Round to the nearest tenth of degree. Select one: a. b. c. d. 4 cos 3x = x2 − 2 {1.0042} {1.1448} {−1.1448, 1.1448} {−1.0042, 1.0042} x y x = 5.2 y = 3.7 N44.6°W N54.6°W N45.4°E N35.4°E 8/21/24, 6:11 PM Graded Exam #3: Attempt review Incorrect 0.00 points out of 6.25 Question 13 Correct 6.25 points out of 6.25 Solve the problem. An airplane flying at has a bearing of . After flying for , how many nautical miles (nmi) south and west has it traveled? Select one: a. south and west. b. south and west. c. south and west. d. south and west. Solve the problem. An airplane begins its descent with an average speed of at an angle of depression of . How much altitude will the plane lose in ? Round to the nearest tenth of a mile. Select one: a. b. c. d. 310 knots S 44°W 2.6 hr 580 mi 560 mi 560 mi 580 mi 476 mi 469 mi 469 mi 476 mi 230 mph 6° 5 min 4.8 mi 1 mi 2 mi 2.4 mi 8/21/24, 6:11 PM Graded Exam #3: Attempt review Correct 6.25 points out of 6.25 The angular displacement (in radians) of a pendulum swinging through a small angle with limited air resistance and internal friction can be approximated by the simple harmonic motion models or . The period (time required for one back-and-forth swing) is given by , where is the length of the pendulum and is the acceleration due to gravity. The maximum angular displacement and positive angles are taken to the right of the center position. Write a model for the angular displacement of the given pendulum after t seconds. (Hint: Be sure to convert the initial position to radians.) A - pendulum initially at its left-most position of . Use . Select one: a. b. c. d. θ θ = a sinωt θ = a cosωt T T = 2π L −− g √ L g |a| θ 1.4 m −4° g = 9.8 m/sec2 θ = − π cos( t) 45 √7 – θ = 4 cos(√7 –t) θ = 4cos(2√7 –πt) θ = − π cos( πt) 45 √7 – 8/21/24, 6:11 PM Graded Exam #3: Attempt review Correct 6.25 points out of 6.25 Question 16 Correct 6.25 points out of 6.25 Suppose that an object is attached to a horizontal spring subject to the given conditions. Find a model for the displacement as a function of time . Initial Displacement ( at ): , Initially moving to the left Amplitude: Frequency: Select one: a. b. c. d. Solve the problem. A stretch of railroad is long and rises in elevation. What is the angle of incline to the nearest tenth of a degree? Select one: a. b. c. d. d t d t = 0 0 cm 0.25 ft 0.025 Hz d = 0.25 sin(0.05πt) d = 0.25 cos(0.025t) d = −0.25 cos( 2π0 t) d = −0.25 sin( 2π0 t) 234 m 140 m 32.3° 39.1° 30.9° 36.7° 8/21/24, 6:11 PM Graded Exam #3: Attempt review Correct 6.25 points out of 6.25 Solve . Round the lengths of sides and measures of the angles to decimal place if necessary. Select one: a. or b. No triangle can be constructed. c. A = 19.1°, B = 138.9°, b = 96.5 d. (A = 25.4°, B = 132.6°, b = 82.3) △ ABC 1 a = 48, c = 55, C = 22° A = 25.4°, B = 132.6°, b = 94.3 A = 19.1°, B = 138.9°, b = 110.6 8/21/24, 6:11 PM Graded Exam #3: Attempt review Incorrect 0.00 points out of 6.25 Solve the problem. A regulation fast-pitch softball diamond for high school competition is a square, (60, ft) on a side. The pitcher's mound is colinear with home plate and second base. Furthermore, the distance from the back of home plate to the center of the pitcher's mound. To the nearest tenth of a foot, find the distance between a. The pitcher's mount and first base. b. The pitcher's mound and second base. Select one: a. a.(41.9,ft) b.(42.4,ft) b. a.(43,ft) b.(42.4,ft) c. a.(42.4,ft) b.(41.9,ft) d. a.(43,ft) b.(43,ft) 8/21/24, 6:11 PM Graded Exam #3: Attempt review Correct 6.25 points out of 6.25 Question 20 Correct 6.25 points out of 6.25 Find the area of a triangle with the given measurements. Round to (1) decimal place. (A = 105°, b = 17 ,ft, c = 2 ,ft) Select one: a. (34, ft^2) b. (32.8, ft^2) c. (16.4, ft^2) d. (17, ft^2) Use Heron's formula to find the area of the triangle with sides of the given lengths. Round to the nearest tenth of a square unit. A triangular sail has sides of length (7'1'', 11'1'', and, 9'6''). What is the sail area? Select one: a. (33.4 ,ft^2) b. (41.5, ft^2) c. (22.7, ft^2) d. (27.7, ft^2) Quiz navigation Show one page at a time Finish review 8/21/24, 6:11 PM Graded Exam #3: Attempt review 8/21/24, 6:11 PM Graded Exam #3: Attempt review