Use partial fractions to find the inverse Laplace transforms of the following functions 11-3s 1. [2e-5e-31] s²+2s-3

Q: Evaluate the integral. 1 -3 6²3 16 + r² dr

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Q: Find the intervals on which f(x) is increasing and the intervals on which f(x) is decreasing. Then…

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Q: ▪ Find equation of plane which is containing Points A(2,1,1) and B (7,5,2) and normal to 2 x - 3y -…

A: Please follow the next step.

Q: B)Convert r = √2 cos(8-) to cartesian.

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Q: hi there, are those letters "n" or "x" it is a little difficult to read?

A: Given that,  tanx=sinxcosx to prove that ddxtanx=sec2x

Q: ind area bounded by y = 0, y =√x-x² using double integration.

A: We have to find area of given region.

Q: Find Mx, My, and (x, y) for the laminas of uniform density p bounded by the graphs of the equat…

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Q: A region bounded by f(y) = y, y = 1, y = 8, and x = 0 is shown below. Find the volume of the solid…

A: The region bounded by f(y)=y3, y=1, y=8 and x=0, trhe region revolved about y-axis.

Q: Find the center of mass x of the point masses lying on the x-axis. m₁ = 8, m2 m₂ = 8, m3 = 8, m4 =…

A: We have to find center of mass.

Q: f(x) dx = 4 and 0 1₂ 2 +S²g(x)dx? 3 f(x) dx + -2 10 2 g(x) dx = 6, what is

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Q: Determine whether there is a relative maximum, a relative minimum, a saddle point, or insufficient…

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Q: )

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Q: 4. When finding the derivative of a fraction you have to use the Quotient Rule. 5. The derivative of…

A: 4. when finding the derivative of a fraction you have to use the quotient rule.5. The derivative of…

Q: Find f'(0) if f(x) = a; a, b, c, d constant bc-ad O d² ad-bc (c+d)² ad-bc d² ad+bc d²

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Q: 8. 9. A) 1−sinx Ĵ (COSX + 1 COS X+X 2(cosx+x)2 E) ·x)³ dx = ? 1+tan²a (2 + tana)² -+C B) +C D)…

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Q: Integrate the following: 1. fxsinxdx 2. fæcos2xdx 3. fe sinxdx

A: The given integrals are' 1) xsinx 2)xcos2x 3)exsinx.  Repost the next parts.

Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: 3. y" + y = sin x

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Q: Hi, it is (-3)^n not (-2)^n

A: The given power series,∑n=0∞n2-n2nx+1n

Q: A company determines that the cost of making units of commodity is C(x) = 480000 + 2.4x - 0.0008x²…

A: Given C(x)=480000+2.5x-0.0008x^2

Q: Using the definition of the derivative, find f'(x). Then find f'(1), f'(2), and f'(3) when the…

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Q: The curves y = In x and y = 3x² have parallel tangent lines at x = A) ± √/ B) C) √6 E) 2

A: Two lines have parallel tangent if slop at the point is same.

Q: 18 What is the total degree G? 3 6 5 VI e₁ V2 ez VA

A: From the given graph G, we have to find its total degree

Q: 8 (Refer to the drawing in #7) Find all vertices adjacent to v5. O V3 and vi V2 V1, V2, and v3

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Q: O- - 1 2x (In x)2

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Q: You need a 50% alcohol solution. On hand, you have a 110 mL of a 10% alcohol mixture. You also have…

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Q: 1. Given a. b. C. [(5x + + + + 1) dx Evaluate the indefinite integral above Evaluate the integral…

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Q: Suppose that the total profit function for a company is given by P(x) = 4x³ - 210x² + 3600x - 200,…

A: We have to choose correct option for given questions.

Q: A conical vessel 12m across the top and 15m deep. If it contains water to a depth of 10m, find the…

A: Concept: Similar triangles are those which are of the same shape but need not be of the same size…

Q: Q2A)Matrix A = 42find Eigen values of 4². dy -(x²+y) B)Solve differential equation x+siny

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Q: (a) Assume that f(x, y, z) and F(x, y, z) are arbitrary differentiable functions such that f(x, y,…

A: Given

Q: S dx (36x² + 1)²

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Q: Find the first derivative of -5x²+2x-5 210x -5x²+2x-4 ебх о о 5x2-2x+5 P5х 2 x2+1 e5x

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Q: Proceed as in this example to find the solution of the given initial-value problem. Evaluate the…

A: Since you have posted more than one question, I can answer only first question for you

Q: ■ Find equation of plane which is containing Points A(2,1,1) and B(7,5,2) and normal to 2 x - 3y -…

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Q: For the following function find (a) f(4), (b) í (b) f 2 f(x) = 4x² - 24x + 21 (a) Find the value of…

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Q: Find the mass and the center of mass of the lamina with density p(x, y) = and occupies the √y x²…

A: Given :ρ(x,y)=yx21≤x≤3 and 0≤y≤4 then

Q: dy -(x²+y) B)Solve differential equation = dx x+siny

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Q: let a=2+7i b=4-2i Choose the correct result of a*b* O 24+22i O22+22i O22+241 O 22-24i

A: Given that a = 2 + 7i and b = 4 - 2i. We have to find a*b. Clearly as  a = 2 + 7i and b = 4 - 2i so…

Q: Q3A)Find normal line and parallel plane to the function f(x, y, z) = x²y³z² - 4 At point (1,-1,2).

A: Given function f(x,y,z)=x2y2z2-4

Q: Determine dy/dx given that: y = sinx - sin³ x O cos³x O cos x sin² x O sin³ x O - cos³ x -

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Q: Find the acute angle between the line joining A(1,2,3) and B(5,1,7) and the plane containing point…

A: This question can be solved using the concept of angle between line and plane.

Q: 37) 1 Solve the following simultaneous linear D.E. [D+1 12 [+1 10+2 5D=210) = (2-1)

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Q: a. Determine whether the Mean Value Theorem applies to the function f(x)=ex on the given interval…

A: The given function f(x)=ex on the interval 0, ln 9

Q: 1. If f(x) dx = 3, evaluate [[1 + 21(x)] dx using the properties of interga 2. If f(x) dx = -2 and…

A: As asked we can answer question no 1 and 4 as below.

Q: The base of a three-dimensional figure is bound by the graph y = sin(x) + 1 on the interval [0, π].…

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Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A: We need to find area.

Q: f 2³x dx = O 0 23x In 2 + C ○ 23x+1 + C 3x+1 23x In 8 0 23x ln 2 O + C + C

A: To evaluate: I=∫23xdx

Q: Find an equation of the hyperbola that has foci at (0, -15) and (0, 15), and asymptotes y= 3 3 2x…

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Q: Select all of the following tables which represent y as a function of x. X Y Y X y X Y -3 -2 -3 -4…

A: Explained below