Suppose two 5-meter poles are fixed to the ground in upright position [in red], one in...
e tan 15° 12. Answer True or False for each of the following. If the statement is false, make ne necessary change(s) to produce a true statement: a. The angle 0 =is larger than 90°. b. sin 45° + cos 45º = 1 C. Trigonometric functions can only be undefined at quadrantal angles. d. sin(30) = 3 sin e e tan 45º = 3 f. The value of trigonometric ratios (sine, cosine, tangent) depend only on the size of ,...
#1 Exercises with Vectors-II Name [1] Suppose you have two vectors, a and b, that have the same length, so that lal-lb but they point in different directions. Denote the angle between them by . Show that tan(0/2) la-bMa+b Hint: Compute the right-hand side using the fact that lal-bl, and the trig identities 1-cos θ-2sin'(9/2) and 1+cos9-2cos(θ/2) 12] Vectors in 3-dimensions are often parameterized in terms of their length and two angles, as shown in the figure (think of a...
Suppose that a scalar field is constant on a surface As shown in the lectures. there are two methods that one might use to obtain the normal to the surface, and they give the same direction (a) Let r(u, v) be a parametric form for the surface S. Use the vector identity to show that Our ar-λ▽u where λ is a scalar field. [Note: no marks will be awarded for simply stating that a term is zero. If it is...
If you could help by answering all #22-29 so I can compare to the rest of my problems thanks. Give the signs of the trigonometric functions. 22) cos (523°) and tan (523) A) -and- B) -and- 9- and + D) and Find all values of 0, if is in the interval [0, 360%) and has the given function value. 23) sin 0 - 13 A) 150° and 210 B) 60° and 300 9 210 and 330 D ) 60 and...
(14%) Problem 7: Suppose a tightrope walker creates a tension of 3.94 x 103 N making an angle of 5° below the horizontal from each supporting pole Calculate how much this tension stretches the steel wire if it was originally 16 m long and 0.43 cm in diameter. Assume steel has a Young's modulus of 2.10 x 101 N/m2. Give your answer in cm. Grade Summary AL = 0.31 Deductions 3% Potential 97% sin( cotan cos Submissions tan 7 НОМE...
(15%) Problem 8: Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that has speed v = 0.92c. The muon then travels at constant speed and lives 1.5 us as measured in the muon's frame of reference. (You can imagine this as the muon's internal clock.) Randomized Variables y = 0.92 c t = 1.5 us > * 33% Part (a) How long does the muon live in seconds) as observed on the...
2. 2/10 points Previous Answers SerPSE10 5.AE.011. My Notes Experimental Determination of H's and The following is a simple method of measuring coefficients of friction. Suppose a block is placed on a rough surface inclined relative to the horizontal as shown in the figure. The incline angle is increased until the block starts to move. Show that you can obtain H by measuring the critical angle e, at which this slipping just occurs. The external forces exerted on a block...
Please answer all questions for UPVOTE LOCATION: Cleveland, Ohio DREAM LOCATION: Rome, Italy PRECALCULUS: VECTORS Directions: Suppose that you plan to take a trip to your dream destination. You would like to know the shortest distance between your starting point and your destination. When calculating distances on a plane, you need only consider two dimensions because you are on a flat surface. However, when finding distances between two points on Earth, you must take into the account the curvature of...
rate 1. True or False? Explain: a. If a car's speedometer is constant, then the car cannot be accelerating. b. Ifan =0 for a moving object, then the object cannot be accelerating. c. The arc length of a space curve depends on the parameterization. d. The curvature of a circle is the same as its radius. e. The normal component of acceleration is a function of both speed and curvature. 2. Projectile Motion: A projectile is launched with an initial...
mperial Valley College PROJECT #3 You may work in groups of up to 4 students. Each group turns in one homework, wnitten on separate paper e,aat in tiny writing on this sheetl with llwri and all stens shoan doack All students in each group recee the same grade This assignment is due ot the begrring 덱 dass on"huidey July 27 (day of Find Exon This project is worth o total f 40points Homework will be graded not only on correctness,...