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Differential Equations: An Introduction to Modern Methods and Applications
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- Solve. Find the equation of a line normal to the curve of y-cos COS at x=1. 2 Select one: A. -3.3 x + 9y - 9 + /3 n = 0 B. -3,3 x + 3y + 3/3 - = 0 C. -6/3 x + 3y - Gu/3 - i = 0 D. 3 x + 3y - 3- 1= 0arrow_forwardQuestion 9. Masses of 9 kg, 4 kg and 5 kg are located at points with co-ordinates (10,9), (3,9) and (7,5) respectively. Find the co-ordinates of their Centre of Mass,(,y), correct to one decimal place.arrow_forwardThe 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_forward
- The equation of a curve is y=x+2 cos x. Find the x co-ordinates of the stationary points of the curve for 0 < x< 2m, and determine the nature of each of these stationary points.arrow_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_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
- 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_forward6. 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_forward2. Determine an equation for each of the following functions 21 8 +4 0 w -2 24 b) A cosine function with the following properties: ● One cycle begins at x = 8π ends at x = ● The maximum value is 3 and the minimum value is -1 andarrow_forward
- A 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_forward.20 D Show that fe conversion to polar coordinates. dx = √n by considering e-(x²+y²) dxdy and aarrow_forward11. Find the amplitude, period, phase shift, and graph at least one complete cycle for y=3sin Amplitude: Period: +3 Phase shift: -27 -3 -T T 3i, 211 5, 3 Ti, 4 9 -2 t-3 t-4arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage