110 PST PLS. LUI 7. Find each of the following exactly (no decimal approximations!) Show all...
mechanical engineering
analysis help, get from problem to solution, pls show all work,
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Problem 2. Find the Fourier series approximation of the following periodic function f(x), where the first two leading cosine and sine functions must be included. f(x) Angle sum formulas for sine / cosine functions sin(A + B) = sin A cos B + cos A sin B sin(A – B) = sin A cos B – cos A sin B TT cos(A + B) = cos...
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1) A bicycle wheel with an 16 inch diameter rotates 1500. What distance has the bicycle traveled? 2) Find the exact values of the other five trig functions when sec = 5. 3) An airplane leaves the runway climbing at 210 with a speed of 275 feet per second. Find the altitude of the plane after 1 minute. 4) Find two values of 0 (0< < 27 ) that satisfy cos 0 = 0.9833. (Round your answers...
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5) For each of the integrals in problems a c below, first sketch the corresponding area, and then approximate the area using the right and left endpoint approximations and the Trapezoid Rule, all with n = 4 . From your sketch alone determine if each approximation is an overestimate, an underestimate, or if there is not enough information to tell. Finally determine the value of n for which the Simpson Rule would approximate the...
6. State whether each geometric series is convergent or divergent. Show your work. If the series is convergent, find the sum of the infinite series. (4 marks) 5 a) 80 + 20 + 5+ 4 + b)t gr- r= -2 7. State the reference angle for each angle in standard position. Draw a diagram and show your calculations. State the Quadrant that the reference angle belongs in. (4 marks) a) 55° b) 155° c) 255° d) 355° 3
Question 7 (9 points) Find all solutions in the interval [0, 360°). sin(5x) = 0 15°, 30°, 1050, 120°, 1950, 2100, 2850, 3000 O 75°, 105°, 255°, 285° 45°, 90°, 135°, 180°, 225°, 0°, 36º, 72°, 108°, 144°, 180 FOR 0 xo Consider a triangle where a = 5, b = 8, and C = 31°. (Note that the triangle shown is not to scale.) Use the Law of Cosines to find c. Round your answer to two decimal places....
Use the given information to find the exact value of each of the following a sin 20 b. cos 20 c. tan 20 sin = 7 19 Olles in quadrant II a sin 20 = (Simplify your answer. Type an exact answer, using radicals as needed Use integers or fractions for any numbers in the expression Rationalize all denominators.) b. cos 20 (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers...
7. Solve each equation for solutions on the interval [0,2-). Find all exact solutions where appropriate. Round approximate answers in radians to two decimal places. In other words if you can find an exact solutions (ie found on the unit circle) write it in exact form. If it's not possible ſie. not on the unit circle) then round to two decimal places. a) 3 cos 0-cos02 b) cos2x-sinx=0 c) cos3x
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Let F(x, y) e*y (y cos x - centered at (1,0) in the first quadrant, traced clockwise from (0,0) to (2, 0). And suppose that C2 is the line from (0,0) to (2,0). sin x) xexy cos xj. Suppose that C1 is the half of the unit circle (A) Use the curl test to determine whether F is a gradient vector field or not....
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Problem # 6 (20 points): An ac source of 110-V (rms) and angular frequency w=300 rad/s is connected to an LRC series circuit, where R=40 , L =200 mH, and C =600 pF. Find: (a) the inductive reactance, the capacitive reactance, and the impedance of the circuit (b) the peak and rms current, (c) the peak voltage and the rms voltage across each element, (d) the instantaneous voltage across each element. Problem #2 (20 points): In a...
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Problem 6. Find the x coordinates of all points on the curve y = sin x· cos x , x € (0,27), where the tangent line is horizontal. Problem 7. Let f(2) = 3, f '(2) = 4, g(2) = 3, g'(3) = 2. Find (gºf)'(2) Problem 10. A rocket travels vertically at a speed of 1200 km/h. The rocket is tracked through a telescope by an observer located 16 km from the launching pad. Find the rate...