Answer 13-17 and 4-9 with IVP y(0) = -1 and y'(0) = 2dt4. What is the initial Y(s) after substituting the initial values?5- s° +12s?5-s' +3s?а.Y(s)(s +10s +9) =c. Y(s)(s – 10s +9) =s²5+ s³...

Answer 13-17 and 4-9

Extracted text: Question 4-9 Sd²y Given the L di +9y = 5t > with IVP y(0) = -1 and y'(0) = 2 dt 4. What is the initial Y(s) after substituting the initial values? 5- s° +12s? 5-s' +3s? а. Y(s)(s +10s +9) = c. Y(s)(s – 10s +9) = s² 5+ s³ +12s? 5-s' +12s? b. Y(s)(s -10s +9) D d. Y(s)(s –10s +9): = 5. What is the Y(s) before identifying the arbitrary constants? s (12- s)+5 s(s – 9)(s – 1) 6. How is the evaluation of the partial fraction expressed? A Bs s(12+s)+5 s (s – 9)(s – 1) (12-s)+5 (12-s) +5 Y(s) = b. Y(s) =- c. Y(s) = d. Y(s) = а. s (s - 9)(s – 1) (s - 9)(s – 1) 12s? – s +5 12s2 - s +5 с. s(s -9)(s – 1) CD A B C D a. %3D %3D s' (s - 9)(s – 1) S-9 S-1 s -9 s-1 12s + s +5 s'(s - 9)(s – 1) 12s? – s' +5 d. A B D В A + C D b. s (s -9)(s –1) S -9 7. What is the value of A in the partial faction? S-1 S-9 s-1 50 3 b. A =- 81 5 A 81 d. A= 81 а. с. 81 8. What is the value of D? D=9 b. D=2 D=-9 d. D=-2 а. с. 9. What is the transformation of the given f(t)? 50, 5 +21+e" - 2e' 81 31 31 50 c. Y(t) = 81 5 -e' 81 Y(1) = -2t + et а. 9. 81 81 50 31 + t+=e" – 9e' 81 81 3 5 5 d. Y(t) = +t+2e" 81 81 b. Y(s) = - -- 81


Extracted text: Question 13-17. A breeder reactor converts relatively stable Uranium-238 into the isotope Plutonium-239. After 5 years it was determined that 0.043% of the initial amount A, of plutonium has disintegrated. 13. What will be the differential equation for this problem? dA = kA dt dP b. = kdt c. Both a and b d. Neither a nor b а. 14. If the atoms of A. have disintegrated, how much is remained? c. 0.043% d. None of them a. 99.957% 15. What is the value of the decay constant? a. -0.20977/y 16. What is the corresponding value of A(t) at half-life? b. 99.043% b. -0.000028672 c. -0.20977 d. -0.000028672/y а. 3/2 Ао b. ½ Ao с. 2 Ао d. None of them 17. What is the half-life of the isotope? a. 24180 years b. 24174.35 уears 18.454 years d. 27,617.995 years с.