In Exercises 3-6, evaluate the given transforms.



In Exercises 3-6, evaluate the given transforms. 3. Ct e3 sin 2t) 6. L-13 4s2+4s+7
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^-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)).
Solve the given initial-value problem. dax + 4x = -7 sin(2t) + 6 cos(2t), x(0) = -1, x'(0) = 1 xce) = -cos(2+) – sin(2t) + {cos(21) + (sin(21) Need Help? Read It Watch It Talk to a Tutor
QUESTION 4 -1 Find L (378573) 25+7 S2 +45 +13 (write 5/6 by 5 -30 6' ; e^{-3t} by e and sin(2t) or cos(3t) by sin(2t) or cos(3t)).
Find L *124*7.31 2s +7 S2 +45 +13 5 (write 5/6 by e^{-3t} by e -30 and sin(2t) or cos(3t) by sin(2t) or cos(3t)).
5. Evaluate the value of arcsin (-2) 6. Evaluate the expression sin (arcsin (-3)). 7. Evaluate the expression arctan(cos(it)). 8. Evaluate the expression tan (arcsin (-2)
please show all your work. Thank you.
1. Given that L{sin t} = (52+1)(52+9) evalu evaluate the following Laplace transforms (reduce fractions to lowest terms in factored form) (5 points each) a. L{e4t sint} b. L{t sint} C. L{sin?(t - )u(t - ;)}
6. -1.25 points My Notes Evaluate (y 3 sin x) dx + (z2 +7 cos y) dy x3 dz COS JC where C is the curve r(t) - (sin t, cos t, sin 2t), 0 s t s 27. (Hint: Observe that C lies on the surface z - 2xy.) F dr-
6. -1.25 points My Notes Evaluate (y 3 sin x) dx + (z2 +7 cos y) dy x3 dz COS JC where C is the curve r(t) -...
(Example 7.2.4) Use the Laplace transform to solve the initial-value problem 6. dy + 3-13 sin 2t, dt y(0)-6
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°)