05faex.final - Math 113 Final Exam Dec 20 2005(60 minutes...

Info iconThis preview shows pages 1–10. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 4
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 6
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 8
Background image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 10
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Math 113 Final Exam, Dec. 20, 2005, (60 minutes). NAME: ’ ‘ SECTION: Instruétor: TO RECEIVE CREDIT FOR AN ANSWER, YOU IMUS’};1 SHOW WORK JUSTIFYING THAT ANSWER. I. (N0 CALCULATOR) 1) {10 points)The graph of y = 2003(33: + C) + D (with B > 0) is shown below. Find the exact values of B , C, D. g/ 3 2) (10 points) Sketch the graph of y z —— sin(2:z: - §) for —7r 3 x 3 71’, including all exact values of y intercept and :v intercepts. ‘ _- Sin :8 below. 11. (N0 CALCULATOR) . 1) (5 points) Find the exact value of iBC‘l. 3)7(5 points) Find the exact value of a. 2) (5 points) Find the exact value of the area, of shaded region. 4) (10 points) A bicycle is traveling at 10 feet/second. Find the exact value of the speed of its wheels measured in revolutions/ second, asSuming the diameter of wheeis is 2 feet. ‘ 111. (N0 CALCULATOR) 1) (10 points) Find the exact value of c0875“. 3) (15 points) Let 0033: = g— with 9% g a: 5 6w. Find the exact. value of cos IV. (15 points) Yeti wa Assume that the water flows 10 miles/hour from north to south. The boat travels relative to the water at 30, miles/hour. You destination is at, the direction of southeast (Le. 845033). Find the heading of the boat and the speed of the boat relative. to the bottom of the river. V. (10 points) After seeing the top of the building at an angle of elevation of 30" you wa'Iked toward the building for 100 feet and then saw the top of the building again at an angle of elevation of 45". Find the height of the building. VI. (NO CALCULATOR) Prove or disprove the follbwing identities. 1) (5 points) For all a: with sin(2:c) ¢ 0, cos(2m) 1 t =7 . sin(2:z:) + aux sin(2x) 2) (5 points) For all x, -Sin(7r + 23;) :: sin(2;v) - (cos(2m))(sin as). VII. (20 points), The, figure below shows 3 weights hanging with 2 pulleys. (The system is supposed to be “ideal”: weightless cables Without rigidity etc.) With the quantities as shown, find the values of oz and W3. (USE CALCULATOR) I VIII. (1) (7 points) Find (*1 + 7;)”. (Your answer should be in the rectangular form.) (2) (N0 CALCULATOR) (8 points) Find afl solutions 2 to 232—34. (Your answer, should be in the trigonometry form.) 1x. (NO CALCULATOR) A force ? is appiied to a ball as shown below. The weight of the ball is 10 lbs. (Assume that the incline is “idea ”: no surface friction etc.) (1) (5 points) Find the exact value of the (minimum) force '17} that is needed to slide the ball along the slope from A to B, if 7?, assuming and the horizontal form an angle of 75°. 9 iprcl :l'o eéeef ) force VP? in‘U) to (2) (5 points) Find the exact value of the work done by the (minimum slide the ball from A to B aion-g the surface. X. (NO CALCULATOR) (15 points) Recall that 3:0 {or 0x0) stands for the direction measured as 2: degrees clockwise from north. L An airplane is flying on a heading of 030° from northeast at speed of 40 miles per hour. Find the ground speed and course of the airplane. at 208 miles per hour. The wind is blowing 10 ...
View Full Document

{[ snackBarMessage ]}

Page1 / 10

05faex.final - Math 113 Final Exam Dec 20 2005(60 minutes...

This preview shows document pages 1 - 10. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online