balue for @ the Inverse Laplace of F (s)- F (0) F (S) 542 5 (8²41) S 3 s(544) 28 +1 (5²+45 +4)

Q: Find the laplace of  f(t) = cos(root2)t + sin (3t)

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Q: (0,0,0) (1,1,1) C2 C.

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Q: What is frz, fyy, and fyz of f(x, y) = In(y²")?

A: Given:           f(x,y)=lnyx2          fx=∂∂xlnyx2         Treating y as constant variable…

Q: f:(-2,1]→[0,12] literal and overlapping function 12 if įs(x) dx = 13andſls*(x) đx =5 [f*(x) dx=? 10

A: Given :f:-2,1→0,12 literal and overlapping function.∫-21fxdx=13     →1∫06f-1xdx=5    →2To…

Q: Find ▼ × (V × F) if F(x, y, z) = 6xyj+xyz k. V × (V × F) =

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Q: F(x, y, z) = yzeX²i + e×zj + xyexZk, C: r(t) = (t2 + 1)i + (t² – 1)j + (t² – 4t)k, %3D 0 <t< 4 (a)…

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Q: f(r,t) = cos(3r) exp(4t) %3D fi(x,t)+ frz(x,t) = f(r,t) %3D

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Q: Write the function f(z) = z + 1/z in the form f(z) = u(r, theta) + iv(r, theta) (Answer is f(z) = (r…

A: f(z)=(r+r1​)cosθ+i(r−r1​)sinθ   Explanation:

Q: Find inverse Laplace of 5s +3 (s-2) (s2+4s+29)

A: We have given that ,  Fs = 5s + 3s - 2s2 + 4s + 29 We need to find Inverse Laplace Transform ,  That…

Q: The inverse Laplace of 28 (s+3)²+4? exp(-rt) Note: sin (wt + angle ()) to O 7exp(-3t)sin(4t) O…

A: Introduction: We know that from the Laplace table, inverse Laplace of function F(s)=b(s-a)2+b2 is…

Q: Assume that y is a function of x. Find (d2y)/(dx2) for x2y-y2-2(sqrt x)+4=0 at point (1,2) 7/6 8/6…

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Q: Find div F if F(x, y, z) = (x2 + y) i + z2 j + (ey - z) k.           A . 2xy i + k          B. 2x…

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Q: Let sin(4x + 7y°) x3 + y5 if (x, y) # (0,0) f(x, y) = 0. if (x, y) = (0,0) %3D Which of the…

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Q: Let f(x, y) = 3x² + 4y? – axy. (a) Find the values of a such that the graph of f increases when…

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Q: Suppose that f(x) I + 6 is differentiable and has an inverse for æ > 1 and f (2) = 8. Find (f ')'…

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Q: əz Use chain rule to find at where z = e2" sin (30) and r = st – t², 0 = Vs² + t². %3D

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Q: Use Green's Theorem to evaluate F = (xy + y²)i+ (x – y)j | (1, 1) x = y² y = x² (0, 0)

A: we have to evaluate the following by using greens theorem

Q: FI = r Where f(r) = -i = 2xi – 3yj + zk So be it %3D div) grad(f) find

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Q: Find V x (V x F) if F(x, y, z) = 5xyj+ 9xyz k. V × (V × F)

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Q: balue for the Inverse Laplace of @ F (s) = 5² (5²+1)

A: Given : Fs=s+2s2s2+1 To Find : Inverse of Laplace transform of given function Note : According to…

Q: Let (t) , a) Find the domain of F(t) b) Find " (t)

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Q: f(x, y) = 4x2 + 2y? f-( – 3, 1) = Preview

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Q: 1. Let F(t) = (e¹−¹ – ť², 3t² + 1, 4-5 lnt), G(1) = (-6, 1,0), and f(t) = cost. Evaluate: (a) (F-G)…

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Q: Inverse of Laplace of H(s)=[6(s+2)-3(s-3)]/[(s+2)(s+3)(s+5)]

A: The solution is given as

Q: Determine R(t) if R' (t) = (2e²t-4,) and R(2) = (3, −5,0).

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Q: E- Use the chain rule to express dy / dx in terms of x and y: a) y=7+1 and t=2x+1 1 b) y=7+1 and x=…

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