Review Exercises 2. Use substitution to determine if x =-34 v/5 is a solution to r-fr...
5. Make the trigonometric substitution r=a sec for 0 < < x/2 and a > 0. Use fundamental identities to simplify the resulting expression. You must show your work for credit! a. a' sec' etane b. 1 a cosecote 1 sin cos e a d. a tane e. c 1 cosa 6. Select all statements below that are true about the following equation: sect- a. The equation is not an identity because the equation is false when t b. The...
Chapter 5, Review Exercises, Question 013 x Evaluate the integral ✓ dx by making the substitution u = x - 6. (1x2 - 6x4 - 12x2 Enter the exact answer. Ir-ore- dx = ? Edit +C (x2 - 6V4 – 12x2
26 to 33 please! :) REVIEW EXERCISES: CHAPTER 2 149 2 Solve each formula for the given letter. 12.3] r 26. C rd, for d Bh, for B 27. V = 28. 5x 2y 10, for y 29· tx = ax + b, for x 30. Find decimal notation for 1.2%. [2.4] 31. Find percent notation for 2 12.4] 32. What percent of 60 is 42? 12.4] 33.49 is 35% of what number? [2.4] Determine whether each number is a...
how to do #8? 1.1.8 Exercises Verifying Solutions Use direct substitution to verify that y(t) is a solution of the given differential equation in Exercise Group 1.1.8.1-8. 1. y(t) = "; v = 4y 2. (0) = 3e-2; y = 2y 3. y(t) = 3e5; V - 5y = 0 4. y(t) = 3 - 2; 7 = 3y + 6 5. y(t) = -7e" V=2ty+t y(t) = (18 – 41/4v_2y4+4 ty3 7. y(t) = t; y" - ty+y=0 8....
(3) (a) Use substitution to determine whether 2,3,-1,1 and 5 are zeros of g(x)=x'-6x' +8x? + 6x - 9 (b)Use synthetic division to find any remaining solution(zeros), P(x) = x + 2x - 52-6; x = 2
Find a solution 11. xºy(3) – 3x²y" + xy' = 0 (use a substitution v In x).
Question 2 please 1 and 2, determine whether or not the integral is In exercises improper. If it is improper, explain why 12. (a) 12 x-2/5 dx 「x-2/5 dx 「x2/5 dx (b) (c) I. (a) 0 13. (a 40 1 dx 2 x 14. (a In exercises 3-18, determine whether the integral converges or diverges. Find the value of the integral if it converges. 15. (a (b)人1x-4/3 dr 3, (a) l.lyMdx (b) x43 dx 16. (a 4. (a) 45 dx...
question 5 Note. Some of the follow: notation x = dx/dt and following exercises use the overdot it and ï = d'x/dt- for first and second d also in Chapter 4, Section 1. ial equations 1 to 6 generates a free Cach (i.e., undriven) os classify each equation damped, underdamp e derivatives, used also in Chant of the differential equations 1 ven) oscillation. (a) Without solving it first, v each equation according to type: harmonic, over- underdamped, or critically damped....
Use the given substitution to express the given radical expression as a trigonometric function without radicals. Assume 0<O</2. Let x = 6 cos e in 36 - x2 V36- x2 (Simplify your answer. Type an expression using as the variable.)
4. (20 points) Consider the periodic signal r(t) shown in the Figure below: x(t) 3 2 N VAA 0 1 2 3 4 5 6 A . Determine the fundamental period T and the fundamental frequency wo. B. Compute the Fourier Series coefficients and simplify the expression to its simplest form.