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2. Solve the following equation. 2 sin x – 1= 0 a. b. c. d. 7 5л x= +2nt and x = +27, where n is an integer 3 3 77 57 X = + 2n7 and x= +2n2, where n is an integer 4 4 7 7T x= + 2n7 and x = +297, where x is an integer 6 6 7T 55 = +2nt and x = + 2n7, where n is an integer 6 6 2T...
Solve the equation in radians for all exact solutions where appropriate. Round approximate answers to four decimal places. Write answers using the least possible nonnegative angle measures. 2 sin 2x + sin x - 1 = 0 Choose the correct answer below. 51 O A. The solution set is ola + 2n, 6 Зл + 2n, 2 +2nt, where n is any integer 6 51 OB. The solution set is Ala +21. 6 + 2n, 31 2 +2nt, where n...
Solve the equation. Leave your solution in trigonometric form. x – 2x²+4=0 O a. Vācis 150°, Vācis330° O b. V2 cis25°, 72 cis155°, 72 cis215°, Vācis325° Oc. V2 cis30°, Vācis 150°, VZ cis210°, Vācis330° O d. 2 cis30°, Vācis210° O e.V2 cis25°, VZ cis215° QUESTION 5 Find the 4 fourth roots of 10 z=cos 9 +isin 1077 9 1677 O a, cis cis ST 71 2377 cis cis 18 18 77 2377 cis 36 18 36 137 317 49 57...
QUESTION 9 Solve the following differential equation for x(t). x'(t) + X(t) = 0 x(O) = 2 Note: x'(t) is a time derivative of X(t). tis a time variable. x(0) is an initial condition of X(t). Ox(t) = expl-t) x(t) = exp(t) Ox(t) = 2*exp(t) Ox(t) - 2 exp(-1)
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Problem 1. Solve the recursive equations with big-O notation. a) T(n)=167(n/2) + n° with T(1)=1. b) T(n) = T(vn+1 with T(1)=T(2)=T(3)=1, where (a) is the largest integer m less than or equal to a. For example [3.1]=3.
4) Solve for x(t)n using Laplace transform: dx dt + 2x = 6 where x(0)=-5 Highlight the transient responce
use the Laplace tronsform to solve the IVP Y"-2y + y = f(t), y(O) = 1, 4! (0)=/ Where 0, +23 f(+) { +-3, +23 2 you may use the portial fraction decompositron! +373 +7 - 27/1 3 30 (3.1)? S2(5²-25+1) 32(3-1/2 5-12 arrive to the expression: but show steps to 32 (57-25+1)
3. Solve the following problem from t 0 to 1 with h-1 using 3rd order RK method: dx dt dy dt bay where (0)-4 and x(0)- 0.
3. Solve the following problem from t 0 to 1 with h-1 using 3rd order RK method: dx dt dy dt bay where (0)-4 and x(0)- 0.
Solve the following initial value problem: x" + x = 9e-31 x(0) = 4 x' (O) = 4 x(t) =
Solve the initial value problem with 4 x'(t) = A, fort > O with x(0) = Classify the nature of the origin as an attractor, repeller, or saddle point of the dynamical system described Ax=b. Find the directions of greatest attraction and/or repulsion. x(o)= [1] A-[18 -16] -2 - 4 10 -16 2 -120 1 a. x(t)= (0,0) is a saddle point 5 2 120 b. x(t)= 1 + 6 le -61 (0,0) is an attractor 5 C. x(t)= o[1]...