Calculate the inverse Laplace of: (s-1)e-2 s²+8s +13 ^{²

Q: (D³ + 2D² - 5D - 6)y=0; y = 0, Dy=0, D²y = 1, when x = 0.

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Q: Q4: If f(x,y) = x²y +exy Siny Find 1) 2) (D = f) po Po at po(1,0) in the direction of 0 =

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Q: 1. Lim x-2 X x² - 4 x³ -x-6

A: Lets factor x3-x-6: x3-x-6=x3-2x2+2x2-4x+3x-6                =x2(x-2)+2x(x-2)+3(x-2)…

Q: s Given : 1 value of AB 3 A 72 40 8x + 1 20 3 280 3 4x - 3 dx. If we let the substitution" = 4x-5 ,…

A: To find out the required answer.

Q: 9)THE ELEPHANTS Recently, a study on the African and Asian elephant populations was published. The…

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Q: SOLVE THE FOLLOWING NON-HOMOGENOUS LINEAR DIFFERENTIAL EQUATION: (D^2+4)y=4cot2x

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Q: 6. Find of z = In(xy) 8²y

A: Given:       z=lnxy     ∂z∂y=∂∂ylnxy  Treat x as constant  Apply chain rule:…

Q: 11. Suppose a population grows according to a logistic model with initial population 300 and…

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Q: : Evaluate the following integrate: 1- S x²dx √9-x² 2-√(2 + 5x) e dx

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Q: √9-22 1. Sketch the region of integration first, then transform Finally, evaluate the resulting…

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Q: X -dx 3. Using a suitable change of variables, determine the indefinite integral: √1 x² [ (sin² x)…

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Q: How. Solve the diff. e que (4y-cosy) dy/dx=3x² = 0, y(0) = 6

A: (4y -cosy)dy/dx -3x2 = 0 y(0) = 0 here we do this using sepration variable method

Q: The partial fraction decomposition of f(x) g(x) + where 3 (x + 3) (x² - 4x + 4) f(x) = g(x) = -3x² -…

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Q: 10. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

A: The given problem is solved below in detail.

Q: 1. Evaluate the integral using atrial fractions method: 3x² -dx (x − 1)(x² + x +1)

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Q: 5. Find the surface area of x = e³ that is of revolution about the y-axis on 0 ≤ y ≤ In 7.

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Q: - First Order Linear Differential Equation Direction: Solve the general solution of the following…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: The graph of y = f(x) is given. 5 4 1 -4-3-2-1 123 -1 324 2 2 -5 -6+ State the value of each limit,…

A: Consider

Q: For the given function f(x,y)=x²y³+3x³y, find a flay

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Q: 1. Find the area of the region bounded by y = x² - 3 and y = 5 - x².

A: This question can be solved using the concept of area bounded by two curves.

Q: Suppose f'(2)=6 and g'(2) = 9. Find h' (2) where h(x) = 4f(x) + 3g(x) + 6. h'(2)=

A: Topic = Derivative

Q: Find the altitude of a rectangular closed box with volume 100 cubic inches with length twice the…

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Q: Which of the following integrals would best approximate the area of the region bounded by y²-x=0 and…

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Q: Evaluate Th - dx ¹1+x

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Q: Evaluate the integral. √2/2 love 10 x² 1-2 dx

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Q: the appropriate integral to be used to find the volume of the solid generated? 8 7 6 5 4 3 2 1 -1 O…

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Q: B. The vector = (4, -2, 1) ends at the point P=(7,-7,2). At what point does the vector start?

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Q: 9. y = 3 Arcsec 3x

A: On solving this we will get

Q: In the expression n (7) x²3² +3 z" •n is a real number • x, y and z are real numbers greater than 0…

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Q: Write the equation of the line. == (0, 2) is on the line. Select one: O a. -3x + 5y = -10 O b. 5x -…

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Q: Write an equation of the tangent line to the curve f(x) = answer in the form Ar+By+C =0. 3x at the…

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Q: Question 8 Which of the following integrals would best approximate the area of the region bounded by…

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Q: 3. The angle between vectors A = 91-j+5k and B=(-2,7,1) is... ***** 16- 12 4. 2) shor mis

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: B. In the diagram below, not drawn to scale, A, B, C and D are points on the circumference of a…

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Q: 5. Find the equation for the sphere whose center is at (-1, 1/12-13) and radius is

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Q: Find the antiderivative F(x) of f(x) = 8(sec x)(sec x – 4 tan x).

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Q: Given f(x,y) = x²y-3xy³. Evaluate O 14y-27y³ 6 + C O -6y³ +8y/3+C O 6x²-45x + C 4 O 2x²-12x+ C 2 f²f…

A: Please see the answer below.

Q: What integration technique can be used to integrate: A Trigonometric Substitution B Integration…

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Q: bject is dropped from a 150-foot-high building, its position (in feet above the ground) is given by…

A: Please refer to the image below

Q: Use the rules of differentiation to find the derivative of the function. y = sin(0) -11 2.2.025.

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Q: Write z₁ and 2₂ in polar form. (Express in radians. Let 0 ≤ 0 < 2π.) Z₁ = √3+1, Z₂ = 1 + √√√3i Z1 =…

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Q: H.w: Find LT-¹ of the following functions by using partial fraction method: 2- Find L-1 [s³ +S-1 Ls²…

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: Consider the following. Function Line f(x) = x³ 3x-y + 8 = 0 Find the slope of the given line. slope…

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Q: 5. y = 5 tan x³ + sec (3x)

A: Topic = Derivative

Q: Problem x√x+1 dr

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Q: Q4: If f(x,y) = x²y + exy Siny Find 1) 2) (D = f), at po(1,0) in the direction of 0 = Po

A: Given problem:-

Q: 4. Lim ¹G- X-0 1 Arctanx.

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Q: What integration technique can be used to integrate: A Integration Formulas B) Integration By Parts…

A: Given: sec2xdx

Q: ?T f(t)=√ t` cosnt dt ((나) ans = 4 12 The easiest way to solve the integral so that the result is as…

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Q: Solve for So So Szyzdzdydz. 0522 108

A: To solve for ∫03∫02∫15 xyz dz dy dx.