Find the inverse Laplace transforms of the functions: a) F(s) = 9+s/4-s^2 b) F(s) = 1/s(s^2+4)

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A: Solution of the problem as follows

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A: The area enclosed by the curves,y=11-9x2 and y=2

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A: Given that: K=750, r=0.25. Initial population N0=250.   Population formula is = Nt=K1+K-N0N0e-rt.…

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Q: Find the directional derivative of f at P in the direction of a. f (x, y, z) = xy + 2²; P(0,-4, –5);…

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Q: (2) Find the full Fourier series for the periodic function ƒ : R → R defined by ƒ(x) = 1+ |æ| on the…

A: the fourier series expansion is as follow

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Q: rative: y = (V3x – 5)(3x2 - 7). %3D

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A: Find the area of parallelogram

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Q: Show Complete Solution. A particle moves according to the function f(t) = t³- 9t2 + 15t,t20, where t…

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Q: Question 10

A: We have to find equation of plane that is parallel to the plane 6x-5y+8z+18 =0 and  the pale passes…

Q: 2.s +3 Find the Inverse Laplace Transform of (s+4) 3

A: Given

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A: Use the distance formula to determine whether given lines laying on a same line or not.

Q: Compute the area enclosed by the curves. You must show your work. 1 y = x, y = x³, %3D 6. 2 312

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Q: Write the equation of a sine or cosine function to describe the graph. Ty 3 3 3 3 -1+ -2+

A: topic- trigonometric functions

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Q: Which among the following is an odd function     x3 + 1     x5 + 3     x3 + x2     x3 - x

A: A function is said to be odd function if f(-x)=-f(x).

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Q: Lagrange Multipliers Use Lagrange Multipliers to find the maximum and minimum values of f(x, y, 2) =…

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Q: e* cos (7e*) cos (4e*) dx Evaluate: --cos (3e*) -cos (11e*) + C (A 22 B 6 (3e*) +cos (11e") +c cos…

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Q: Vector Calculus Given, A = a zi – 23² ²j+ æy} sÎn¢ divAat the point (1, –1, 1) -

A: Here, the given vector field is: A=x2zi-2y3z2j+xy2zk

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Q: Evaluate the definite integral. e i+ e*j+tk dt O e - i - (e- - 1) j + k 7 2 O el – 1 i+ (e - 1) j +…

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A: We have to  find the unit vector in the given direction.

Q: Express the given parametric equations of a line using bracket notation and also using i, j. k…

A: Let's find.

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A: The given parametric equation,      x=3cos θ and y=4sin θ, 0≤θ≤2π

Q: Find the area of the given triangle. Round your answer to the nearest tenth. Do not round any…

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Q: Sketch the graph of the given polar equations. 5 17. 0 = %3D

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Q: Which among the following will result from the evaluation of limit below? lim,0 where m =n. Bg ath…

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Q: ||r(t) × r"(t)|| ||r"(t)||* Use the formula k(t) to find k(t). r(t) = t°i + t°j K(t):

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Q: Find the area of the figure. (Sides meet at right angles.) 11 m 5 m 9 m 9 m 4 m 4 m 3 m 3 m

A: Area of a rectangle= length × breadth

Q: 5y+10=4y-10

A: 5y+10 = 4y-10 Now add 10 to both sides then we have, 5y+10+10 = 4y-10+10 5y+20 = 4y Now subtract 20…

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Q: Find the vector component of v Enter the exact answers. (4, – 1, 7) along b = (2, 3, -6) and the…

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Q: A line is tangent to y = x - 2 at (2,6). What is the coefficient of x when the line is in the form…

A: Given curve y=x3-2    ;   (2,6)

Q: Given that f(x) = z"h(z) h( – 1) = 2 h'(– 1) = 5 Calculate f'(- 1).

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Q: S Le+6)dx (x+2)*

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