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- The distances between Earth and nearby planets can be approximated using the phase angle α, as shown in the figure. Suppose that the distance between Earth and the sun is 93,000,000 miles and the distance between Venus and the sun is 67,000,000 miles. Approximate the distance between Earth and Venus to the nearest million miles when α = 34.arrow_forwardQuestion 7 Eliminate the arbltrary constant of y= GX+ Czexarrow_forwarda. Find the solution set for log, 2+2.log3 x= log, (7x-3) b. Plot the polar curve r 2(1-cose) in interval tarrow_forward
- 6. Find the angle above the horizon of the airplane as seen by the observer. Problem 5. Two traffic cops are sitting stationary at positions ri = At t = 0, a car is at the origin with instantaneous velocity v. At that time, officers 1 and 2 measure line-of-sight speeds vi and v2 on their radar guns. Determine the car's velocity v at t = 0. î+j and r2 = -j, respectively.arrow_forwardQuestion 9. Masses of 3 kg, 7 kg and 1 kg are located at points with co-ordinates (3,10) , (6,6) and (6,4) respectively. Find the co-ordinates of their Centre of Mass,(r, y), correct to one decimal place. Enter z: Enter yarrow_forwardQuestion 2 Given the DE. 3dy + ydx = (1-2x)y4, Rewrite the DE into Linear Form at v 검증 검증 dxx- dx dv dx -v=2x+1 -V=2x-1 +v=2x+1 {+v=2x-1arrow_forward
- QUESTION 13 Two objects moving along x-axis are starting at the same time. Their positions are measured in centimeters at time t in seconds. If the equation of motion of objects 1 and 2 are s.=212-31 ands.3t- respectivoly, determine the distance between the objects at the instant when they have the same velocity O 2 cm O 3 cm O 4 cm O 1 cmarrow_forwardA certain bay with very high tides displays the following behavior. In one 12-h period the water starts at mean sea level, rises to 19 ft above, drops to 19 ft below, then returns to mean sea level. Assuming that the motion of the tides is simple harmonic, find an equation that describes the height of the tide in this bay above mean sea level. (Let y be the height above sea level in feet, and t the number of hours since the start of the 12-h period.) y = Sketch a graph that shows the level of the tides over a 12-h period. y (feet) y (feet) 19 19 t (hours) t (hours) 12 -19 -19 y (feet) y (feet) 19 19 t (hours) t(hours) /9 12 6V 12 -19 -19arrow_forwardInstructions :- Write answer on the paper and upload PDF file in the Moodle. Do not write any answer in the box. Problem - 24: Given f(x, y) = e" 9 - x'y', show that fæy = fyx-arrow_forward
- As illustrated in the accompanying figure, suppose that a rod with one end fixed at the pole of a polar coordinate system rotates counterclockwise at the constant rate of 1 rad/s. At time t = 0 a bugon the rodis 10 mm from the pole and is moving outward along the rod at the constant speed of 2 mm/s.(a) Find an equation of the form r = f(θ)forthe path of motion of the bug,assuming that θ = 0when t = 0.(b) Find the distance the bug travels along the path in part (a) during the first 5 s.Round your answer to the nearest tenth of a millimeter.arrow_forward9. Assume the center of the motion is the origin, the motion is counterclockwise and that t 0 corresponds to a position along the positive horizontal axis. A point on the edge of a yo-yo which is 4 inches in diameter and spins at 4500 revolutions per minute. Find an equation for the horizontal position of the point h(t) in terms of t in minutes. A. h(t) = 4 cos C. h(t) = 2 cos 4500 2250 B. h(t) = 4 cos D. h(t) = 2 cos 2250 4500 10. The first 16 values of a function f(x) are given in the table below.arrow_forwardA certain bay with very high tides displays the following behavior. In one 12-h period the water starts at mean sea level, rises to 17 ft above, drops to 17 ft below, then returns to mean sea level. Assuming that the motion of the tides is simple harmonic, find an equation that describes the height of the tide in this bay above mean sea level. (Let y be the height above sea level in feet, and t the number of hours since the start of the 12-h period.) y = Sketch a graph that shows the level of the tides over a 12-h period. у (eet) у (feet) 17 17 t (hours) t (hours) 3 6. 9 12 3 6. 12 -17 у (feet) у (feet) Av 17 17 t (hours) t (hours) 12 3 9. 9 12 -17 -17arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage