Inverse laplace transform H.w Find the Inverse Laplace t following:- 1- 1 $3/2 S 2- 52 +2 s²+2 3- tan-1 1 S 4- 3 8s-27 4s+12 5- s²+8s+16 6- 1 √2s+3

Q: it says that part 6 is wrong. Please fix it and give me the correct answer

A: Step 1:Given f(x)=(x21​+7)31​Thenf′(x)=31​(x21​+7)−32​⋅(−x21​)=−3x21​(x21​+7)−32​Step 2:The…

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A: Step 1: Displacement We know that displacement is the net change in position, which can be…

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A: To compute the derivative of the inverse function f−1f^{-1}f−1 at 222, we use the information given…

Q: Let S be the parabolic arch given by r(u, v) = (u+v, u−v, 4-u²) where (u, v) € [−2, 2]×[0, 1].…

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Q: Please draw graphs on piece of paper

A: e) The allocatively efficient price (Pe) and quantity (Qe) occur where the demand curve intersects…

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Q: find lower and upper limit of theta and r

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Q: 6.2.10. Let us think of the mass-spring system with a rocket from Example 6.2.2. We noticed that the…

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A: Step 1: Product Rule for Differentiation:  Given two differentiable functions p(x) and q(x), the…

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A: Given that S1 = 3 and S2 = S1 + 1, we can substitute the value of S1 into the equation for…

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A: Step 1:Determine the Direction Vector of the Given LineStep 2:Find the Perpendicular Direction…

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Q: A right circular cone of height h and base radius r has total surface area S consisting of its base…

A: Step 1:Using law of sines we haveba​=sinBsinA​It is given that initially, A=4π​ and…

Q: Part D, H, J

A: Step 1:Step 2:Step 3:Step 4:

Q: Consider the contour map of a function (x, y) below. Let F = Vo. Which of the following options…

A: Step 1:

Q: Which of the following statements are true?(i) Every continuous function f : [a, b] → R has a…

A: This statement is true. It is a direct application of the Extreme Value Theorem, which states that…

Q: Let S be the parabolic arch given by r(u, v) = (u+v, u−v, 4−u^2) where (u, v) ∈ [−2, 2]×[0, 1].…

A: First, we need to compute the partial derivatives of the vector function r(u, v) with respect to u…

Q: Please answer the given question with step by step working outs

A: In polar form, a complex number z is represented as r(cos θ + i sin θ), where r is the magnitude of…

Q: a) Prove algebraically that f: R → R, defined by f(x) = 3x is a 1-1, onto (bijective) map. Note that…

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Q: Plot the following surfaces on the same graph, step by step: (see attached image)

A: Step 1:The given equation of surface is:−9x2+16y2+9z2+128y−54z+193=0, Step 2:We rearranged it…

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A: ANS : ( a )​​   ANS : ( b )​​

Q: Let (W)to be a Brownian Motion. (a) Is (W) a martingale ? (If so, prove it. If not, explain why.)…

A: (a) Is (Wt2​) a martingale?To determine if (Wt2​) is a martingale, we need to check if it satisfies…

Q: 4) The Population of the United Kingdom in July 2002 was estimated to be 59.8 million. At that time…

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Q: and '(x) = -2x² + 3. If g is the inverse of k, which of the following is equal to g'(- 32 Let k be a…

A: Step 1: Step 2: Step 3: Step 4:

Q: Help sketching this

A: Sketch first the horizontal asymptote defined by the limit notation given. Plot the points given and…

Q: With the first image attached, how can i answer question 5 ? thank you so much

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Q: For the planes described by 4(x+1)+y+10(z-2)=-18, and-8(x-2)+2(y+1)+3z=10Write the vector form of…

A: Step 1: Step 2: Step 3: Step 4:

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Q: Let f(x) = - 2x^3 + 15x^2 - 24 x + 5 be a given function then find, A) all the intervals at which…

A: Step 1: Step 2: Step 3: Step 4:Step 5:

Q: According to the method of undetermined coefficients, the differential equation y" + 4 y′ + 4y = 3…

A: Solution:

Q: Find the following using the table below. X 1 2 3 4 f(x) 2 1 3 4 f'(x) 1 4 2 3 g(x) 2 1 4 3 g'(x) 2…

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Q: Describe the regions whose equations in cylindrical or spherical coordinates are given below—either…

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Q: By lagrange theorm find (3) Solombing Integrated for: 2x (y+2²) P+Y (zy + 2)q+23) hot I ask the…

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Q: Match each curve to one of the vector functions below. Possible vector functions: 1. r (t) =…

A: Step 1:Curve A is a circle when projected to the xy plane. But it exhibits sinusoidal variation in…

Q: A ladder 23 feet long leans against a wall and the foot of the ladder is sliding away at a constant…

A: if doubt arises please mention in the comments.

Q: 9. A parallelogram ABCD has vertices A(5,2,-1), B(-4, 0, 6), C(2,-3,7) a) Determine the measure of…

A: Step 1: Step 2: Step 3: Step 4:

Q: 4 2 The function f is defined by f(x)=√x for x > 0. x3 Part A: Find f'(x). Part B: Write an equation…

A: Step 1:The given function is:f(x)=x​4​−x32​This can be written as:f(x)=x21​4​−x32​f(x)=4x−21​−2x−3…

Q: Solve each problem step by step

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Q: solve part e

A: Step 1:

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A: According to the second derivative test:Where:f"(x)>0, f(x) is concave upf is increasing at an…

Q: Q3. [5 marks] How long is the shortest ladder that can lean against the wall and clear a 2x1…

A: Step 1: Step 2: Step 3: Step 4:

Q: " Do not use AI" "Answer must be hand written"

A: The function given is f(x)=3x-10 and the interval is from x=2 to x=8.

Q: Don't use any AI tool show ur answer in pen and paper then take pictures and send

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Q: A ladder 23 feet long leans against a wall and the foot of the ladder is sliding away at a constant…

A: if doubt arises please mention in the comments.