(3) [1 point] Section 7.3 # 25: Use formula (6) and the fact that ỵ (os...
I need help please dh Use the formula L{t"f(t)}(s) 11n (L{f}(s)) to help determine the following the expressions. dan (a) L{t cos bt) (b) {{tº cos bt Click here to view the table of Laplace transforms. (a) L{t cos bt}(s) = 0 (b) L{t{ cos bt}(s) =
Verify that Stokes' Theorem is true for the vector field Help Entering Answers (1 point) Verify that Stokes' Theorem is true for the vector field F -yi+ zj + xkand the surface S the hemisphere x2 + y2 + z2-25, y > 0oriented in the direction of the positive y- axis To verify Stokes' Theorem we will compute the expression on each side. First compute curl F dS curl F The surface S can be parametrized by S(s, t) -...
Differential equations 7.3 Operational properties I Table for reference if needed. Use operational properties of the Laplace Transform to show Hint: F(t)=1.5(1) t S+1 t TABLE OF LAPLACE TRANSFORMS f(0) L{f(0) = F(s) f(t) L {f(0)} = F(s) 1. 1 20. eat sinh kt k (s – a) - R2 S 1 s- a 2. t 21. ear cosh kt 52 (s - a)- K 3. " n! +10 n a positive integer 22. tsin kt 2ks (52 + 2)2...
Page 2 II. (7) Use the Laplace transform to solve the IVP y" - 5y' + 6y = 8(t-1), y(0) = 0,0) = 0, where the right hand side is the Dirac Delta Function (t - to) for to = 1. You may use the partial fraction decomposition 1 + 52-58 +6 2 S-3 but you need to show all the steps needed to arrive to the expression 1 52-58 +6 in order to receive credit. f(t)=L-'{F(s) Table of Laplace...
Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform. Complete parts a and b below. I also attached the Laplace transform table. Thank you! Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform. Complete parts a and b below. ${e 5t sin 2t - +4 + et} Click the icon to view the Laplace transform table. a. Determine the formula for the Laplace transform....
Lcos 3)2 is: Hint : Use the fact that (cos at) = { (1 + cos (2at) Select one: 1 a. + S (32+36 b. 2s + S +36) 1 C. 2s +36) 2. S d. 132 +9 e. 1 + in S 2192 +36)
Page 4 IV. (10) Use the Laplace transform to solve the IVP y" - 2y + y = f(t), y(0) = 1, y(0) = 1, where t<5 f(t) = t-5, t5 You may use the partial fraction decomposition 7(x2–2x+1) (6-1) + + - , but you need to show all the steps needed to arrive to the expression -16-28+1) in order to receive credit. f(t)=L-'{F(s) Table of Laplace Transforms F(s)=L{()} f(t)= L-'{F(s) F(s)=L{f(t)} 1. 2. et s-a 3. r", n=1,2,3,......
3. Bunyip reservoir is 1km long, 100m wide and 25m deep, with a uniform cross-section that is modelled by a curve of the form f(x) ax2 bx +c as shown in Figure 1. 100m (0,0) (100,0) 25m (50,-25) Figure 1: Cross-section of Bunyip Reservoir (a) Find the values of a, b and c, given that the points (0, 0), (50, -25) and (100, 0) lie of the curve. (b) When full, how much water d oes Bunyip reservoir hold (c)...
Could you explain how to find the answer to this question? Help Entering Answers (1 point) Evaluate the surtace integral- (zx2 +zy) ds. Where S is the hemisphere 2 +^ +2-1, z20 The hemisphere can be parametrized by r(s,1)-〈 sin(s) cos(t), | sin(s)sin(t) H cos(s) , ds di where 1-0 t2= 2pi Evaluate If you don't get this in 3 tries, you can see a similar example (online). However, try to use this as a last resort or after you...
Determine L^-1 {F}. I also attached the tables linked in the problem. Thank you! Determine & '{F}. 2 4s + 44s + 92 F(s) = (s – 1) (s? + (s? +65 + 13) Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. 2"{F}=0 i Table of Laplace Transforms f(t) F(s) = £{f}(s) 1 s>0 S 1 at e ,s>o S-a n! t", n= 1,2,... sh+1 ,s>o b sin...