Your answer is incorrect. If A = 5e3t sin(3t) 5e* cos(3+) -5e3t cos(3t) 5e4 sin(3t) ,...
e-27 2. Calculate L et sint+e-2t cos st sint+e-2 cos 3t+t%e3+ + ✓at ec [e*sin U2n(t) sin 2t sin 21
Determine the potential for the field: } = (-6 cos (2y), 12x sin (2y), 5 cos (1z) – 5z sin (1x)) Do not put the constant "+c" for the potential in your answer below. f (x, y, z) = -12x*cos(2y)+5z*sin(z) Submit Answer Incorrect. Tries 1/8 Previous Tries Now calculate F. dr where C is the path † (t) = ( 4 cos t, 4 sin t, 3t) for 0 <tst. The line integral equals 0
4. Consider the nonhomogeneous linear system of differential equations / 4 3 4t / cos(3t) + 2te4t / l - sin(3t) / + 4tºe4t / sin(3t)) 43.4t sin(3) ( cos(3t) ) Given a particular solution t²4t / t th 4t / Find the general solution of the nonhomogeneous system. Hint: det(A – XI) = 12 – 81 + 25.
(2) Show that f(t) - e3t cos(3t) is of exponential order. (3) Explain why gt)+sin is not of exponential order.
Entered Answer Preview Result [e^(-2*1)]*[8*cos((9/5)*1)-14*sin((9/5)*t)] - * (cos(.) – 14 sin(6-)) incorrect The answer above is NOT correct. (1 point) Find y as a function of t if 25y" + 100y + 181y = 0, y(1) = 8, y'(1) = 2. y= e^(-2*t) * (8*cos(9/5*t) -14*sin(9/5*t))
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Find the exact value. 10TT -3T COs 4 sin 3 -0.87 Notice that the expression is a product of sin(a) and cos(b) are the coordinates at each point of intersection of the term quadrants of the terminal sides of the given angles, what ar Additional Materials L eBook Trigonometric Functions Using the Unit Circle Sine and Cosine from the Unit Circle
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4.(25 pts) Consider a periodic function X(t) = Sin(3t). Cos . Express x(t) in Exponential Fourier Series form and calculate Fourier Coefficients Co, C1, C-1,C2, C-2 ... etc (as many Fourier Coefficients as needed). What is the fundamental frequency (wo) of the x(t)? (hint: Use Euler's formula to express Sin(.) and Cos(.) in exponential forms)
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QUESTION 6 -1 Find L 45 S2 + 25-3 5 (write 5/6 by 7' -3t e^{-3t} by e and sin(2t) or cos(3t) by sin(2t) or cos(3t)).
45 Find L 32 +25-3 5 -3t (write 5/6 by 6' , e^{-3t} by e and sin(2t) or cos(3t) by sin(2t) or cos(3t)). **{3+2-3)