Find the laplace transform using integral transformation

Q: xydx – (x+ 2y)² dy = 0 b.) -

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Q: y°dx-(xy + y° \dy = 0 Let the substitution v=2; y=Vx; dy=vdx+ xdv

A: y2dx=xy+y2dy

Q: On the graph of f(x) = cot x and the interval 2T, 47), for what value of x does the graph cross the ...

A: Follow the procedure given below.

Q: If f' (2) = -5 and g'(2) = 3, find %3D (a) h'(2), if h(x) = 12f(x) + 4. %3D h' (2) = (b) F'(2), if F...

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Q: -3 evaluate the integral (x2 – x + 2) dx using its definition.

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Q: 1 + 20 f(x) , g(x) h(x) The partial fraction decomposition of - + 3x2 can be written in the form of ...

A: Given that: x2+20x3+3x2

Q: Give the equation of the directrix of the parabola with the equation x= - (v+3)². Blank 1 Blank 1 Ad...

A: Given query is to find the equation of the directrix for the parabola.

Q: Which of the following is not in the domain of tan(x)? Select all correct answers.

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Q: f(x)=10/17sqrt(6x2+2x+6) =10(6x2+2x+6)

A: The given expression is: f(x)=10176x2+2x+6=106x2+2x+6

Q: 1. Consider a rectangle with perimeter 28 (units). Let the width of the rectangle be w (units) and l...

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Q: sin² 3y 5. ye 3^cot3t

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Q: fxy) •[*cos*)y] e.) The function +(*) is homogenious in x and y of degree.

A: The solution is given in the next step.

Q: Center of Mass: Point masses in the plane. Suppose three point masses are placed in the ry-plane as ...

A: We find out centre of mass for the given system. Follow 2nd step.

Q: (In(x))? 3

A: We have to apply rules of integration to solve the problem

Q: y'dx-(xy + y* \dy = 0 1. Let the substitution v=²; y=vx; dy=vdx+ xdv

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Q: A circular swimming pool has a diameter of 8 meters. The sides are 4 meters high and the depth of th...

A: Using fluid concept

Q: Agree. then lim f(x) does not exist. Disagree 3. If f(a) is undefined, Justify:

A: Given

Q: cosh(2.r) - 1 6. (a) Show that sinh (r) %3D 2

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: attached picture please attached

A: Topic:- derivatives

Q: 1 I. Evaluate dV, where E lies between the spheres x? + y² + z² = 1 and x2 + y? + z² E x2 + y? + z? ...

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Q: Let f(x)=2x2+12 and let r(x)=9x for x>0. Find a simplified formula for the composite function f(r(x)...

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Q: An investment firm expects the price of the Campbell’s Soup Company stock to increase via P(t)  =  P...

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Q: The function e* (x² – 1) is equivalent to the series: Select the correct response: 19 - x³ + -x' + 1...

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Q: 2. x*dy +(2.xy – y° )dx = 0 Let the substitution v=2; y=vx; dy= vdx + xdv

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Q: 2. x'dy+(2ty– y°l&x =0 Let the substitution y=²; y=vx; dy=vdx+ xdv

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Q: Eliminate the arbitrary constant in the equation: a.) x²y = 4+Cy b.) y-x = C1e^x + C2e^-2x c.) y = 2...

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Q: f (t) = 7e – 2t sin(3t)

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Q: On the domain of (-27, 27), for which of the following values of x will sin x = csc x? Choose all an...

A: Our Aim is to find the following values of x which satisfy sin (x)=csc (x)on the domain of -2π, 2π.

Q: Question 7: Evaluate v² dv (Reimann Method)

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A: Given: limx→0+6x+1cotx   As we know from the limit rule; If the limit is limx→afxgx and it results o...

Q: Analyze and sketch the graph of the function. Identify any intercepts, relative extrema, points of i...

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Q: Find an equation of the tangent line to the curve 2(x² + y)² = 25(x² – y²) (a lemniscate) at the poi...

A: Given that 2x2+y22=25x2-y2To find : equation of tangent line at point 3,1Solution :2x2+y22=25x2-y22×...

Q: Find the DE of each of the following by eliminating the arbitrary constants. y = ln tan(x – A)+B

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Q: e^X – 3x^2 = 0, [3, 5] Use the Newton’s method and Secant Method  to find solutions to within 10^-4

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Q: y'dx-(xy + y* \dy = 0 1. Let the substitution v=2; y = vx; dy=vdx+ xdv

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Q: Integrate the function f (x, y) = 3xy over the region bounded by y = 32x2 and y = √x

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Q: The function in the figure below has f(4) 21 and f' (4) = 1.8. Find the coordinates of the points A,...

A: Given that: f(4)=21, f'(4)=1.8

Q: Find the volume generated by revolving the region above the curve y=x3 , under the line y=1, and bet...

A: Given: y=x3, y=1, x=0 & x=1 From the given curve the bounded region is as shown below: Apply th...

Q: 2. 3t2 (t3 + 4)5 dt 3. 5x2 1- х3аdx

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Q: (I-) = 2- VT-I (b) i) Compute lim- ii) Hence prove the limit in i) above by -ố definition. 2

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Q: 2. x'dy+(2xy-y'dr = 0 Let the substitution y=2; y= vx, dy=vdx+ xdv

A: x2dy+2xy-y2dx=0

Q: Use differentials to approximate the change in cost corresponding to an increase in sales (or produc...

A: Solution ) c = 0.075x2 + 6x + 2  with dx = 1  differentiate with respect to x  dc/dx = 0.075 × 2 x +...

Q: 8x sin x y" + 4y/ + 5y = 8x sin x 1. ollowing econd ifferential equation:

A: The given differential equation is:y''+4y'+5y=8xsinx

Q: 3sin4t dt 2. 5(1- 3cos21)

A: We have to find integral

Q: Given the set of information, find a linear equation f(x) satisfying the conditions, if possible. (I...

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Q: Entered Answer Preview Result en [5*e"(1-[1/(e^n)])]/(e-1) incorrect - 1 е — 5е (1 - ) en [5*e*(1-[1...

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Q: Q.1 Find all values of x, at which f is continuous and discontinuous. x²-9 f(x) = x-3

A: As per our company guidelines, we are supposed to answer only the first question. Kindley reposts ot...

Q: Let T3 be the Maclaurin polynomial of f(x) = e*. Use the Error Bound to find the maximum possible va...

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Q: 1. A function f(x, y) is homogeneous of degree 7 in x and y if and only if, 5x'-2y 8x +3y 2. The fun...

A: Solution ) A function f(x,y) is homogenous of degree 7 in x and y if and only if f (kx , ky ) =k7f(x...

Q: |æ – 7| Let us consider lim x→7 x2 – 49 |æ – 7| (a) Find lim 2→7- 22 – 49 Note: Give the exact answe...

A: Follow the procedure given below.