Homework Answers
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Question 5. (8 points) Find the following: (a) L{t- sin(2t)} (b) C{2* * cos(t)} (c) c-...
find L^-1 {4s/s^2 + 2s -3} 4s Find L s2 + 25 - 3 5 -3t...
find L^-1 {4s/s^2 + 2s -3}
4s Find L s2 + 25 - 3 5 -3t (write 5/6 by 6' , e^{-3t} bye and sin(2t) or cos(3t) by sin(2t) or cos(3t)).
Find L^-1 {2s+7/ s^2 + 4s + 13} -1 Find L 2s+7 S2 +45 +13 (write...
Find L^-1 {2s+7/ s^2 + 4s + 13}
-1 Find L 2s+7 S2 +45 +13 (write 5/6 by 5 6 e{-3t} by e -3t and sin(2t) or cos(3t) by sin(2t) or cos(3t)).
Find L 2s+4 s(s2+4) 5 -3t (write 5/6 by 5 e^{-3t} by e and sin(2t) or...
Find L 2s+4 s(s2+4) 5 -3t (write 5/6 by 5 e^{-3t} by e and sin(2t) or cos(3t) by sin(2t) or cos(3t)).
all parts -2t e - (13 points) Let f(t) cos 2t, sin 2t) for t 2...
all parts
-2t e - (13 points) Let f(t) cos 2t, sin 2t) for t 2 0. F() (a) (4 points) Find the unit tangent vector for the curve d (F(t)-v(t)) using the product rule for dt (b) (5 points) Let v(t) = 7'(t). Calculate the dot product and simplify v(t) (c) (4 points) For an arbitrary vector-valued function 7 (t) with velocity vector = 1, what can be said about the relationship between F(t) and v(t)? if F(t) (t)...
QUESTION 6 Find 2 45 s2 + 25-3 5 (write 5/6 by and sin(2t) or cos(31)...
QUESTION 6 Find 2 45 s2 + 25-3 5 (write 5/6 by and sin(2t) or cos(31) by sin(2t) or cos(3t). 6.ey-3t) by e-3t 5 points
2. Find the Laplace transform of the following functions (a) f(t)3t+4 (b) cos(2Tt) (c) sin(2t T)...
2. Find the Laplace transform of the following functions (a) f(t)3t+4 (b) cos(2Tt) (c) sin(2t T) (d) sin(t) cos(t) "Use Trig. Identity" (e) f(t) te 2t use first shifting theorem
If u(t) = sin(2t), cos(2t), t and v(t) = t, cos(2t), sin(2t) , use Formula 5...
If u(t) = sin(2t), cos(2t), t and v(t) = t, cos(2t), sin(2t) , use Formula 5 of this theorem to find d dt u(t) × v(t) .
find L^-1 {2s+4 / s(s^2+4)} 2s+4 Find L s(s2+4) 5 -30 (write 576 by 6 e^{-3t}...
find L^-1 {2s+4 / s(s^2+4)}
2s+4 Find L s(s2+4) 5 -30 (write 576 by 6 e^{-3t} by e and sin(2t) or cos(3t) by sin(2t) or cos(3t).
QUESTION 5 Find L 2s+4 s(s2+4) 5 (write 5/6 by 6' e^{-3t} by e -30 and...
QUESTION 5 Find L 2s+4 s(s2+4) 5 (write 5/6 by 6' e^{-3t} by e -30 and sin(2t) or cos(3t) by sin(2t) or cos(3t)).
3. Write the following in positive cosine form: a) 6*cos(2t 1E6*t-18°) b) 3*sin(2t 1E3 t+184°) c)...
3. Write the following in positive cosine form: a) 6*cos(2t 1E6*t-18°) b) 3*sin(2t 1E3 t+184°) c) -2*cos(2Tt 12E4*t+12) d) -7*sin(2Tt 10E3 t-270°)
find L^-1 {4s/s^2 + 2s -3}
4s Find L s2 + 25 - 3 5 -3t (write 5/6 by 6' , e^{-3t} bye and sin(2t) or cos(3t) by sin(2t) or cos(3t)).
Find L^-1 {2s+7/ s^2 + 4s + 13}
-1 Find L 2s+7 S2 +45 +13 (write 5/6 by 5 6 e{-3t} by e -3t and sin(2t) or cos(3t) by sin(2t) or cos(3t)).
Find L 2s+4 s(s2+4) 5 -3t (write 5/6 by 5 e^{-3t} by e and sin(2t) or cos(3t) by sin(2t) or cos(3t)).
all parts
-2t e - (13 points) Let f(t) cos 2t, sin 2t) for t 2 0. F() (a) (4 points) Find the unit tangent vector for the curve d (F(t)-v(t)) using the product rule for dt (b) (5 points) Let v(t) = 7'(t). Calculate the dot product and simplify v(t) (c) (4 points) For an arbitrary vector-valued function 7 (t) with velocity vector = 1, what can be said about the relationship between F(t) and v(t)? if F(t) (t)...
QUESTION 6 Find 2 45 s2 + 25-3 5 (write 5/6 by and sin(2t) or cos(31) by sin(2t) or cos(3t). 6.ey-3t) by e-3t 5 points
2. Find the Laplace transform of the following functions (a) f(t)3t+4 (b) cos(2Tt) (c) sin(2t T) (d) sin(t) cos(t) "Use Trig. Identity" (e) f(t) te 2t use first shifting theorem
find L^-1 {2s+4 / s(s^2+4)}
2s+4 Find L s(s2+4) 5 -30 (write 576 by 6 e^{-3t} by e and sin(2t) or cos(3t) by sin(2t) or cos(3t).
QUESTION 5 Find L 2s+4 s(s2+4) 5 (write 5/6 by 6' e^{-3t} by e -30 and sin(2t) or cos(3t) by sin(2t) or cos(3t)).
3. Write the following in positive cosine form: a) 6*cos(2t 1E6*t-18°) b) 3*sin(2t 1E3 t+184°) c) -2*cos(2Tt 12E4*t+12) d) -7*sin(2Tt 10E3 t-270°)
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