5. x = 2t and y = 3t + 2 for 0 Domain:

Q: `s): The area of the surface obtained by rotating the curve y = ln(3x - 2), for 3 ≤ x ≤ e², about…

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Q: (5* )csch x²+1 dy if Find dx 1. (a) y = x >0. (ecosh 5x) In Vx +1 )

A: Find your answer below

Q: 3) Estimate Y(2) using Euler's method with 0.5 long dY intervals. Y - 2X and Y(1) = 0. dx

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Q: a- If w = x² + 2xy and x, y change from initial values (x = 1, y = 3) By amounts dx = 0.01 and dy =…

A: Given: w=x2+2xy So, dw=2x dx+2y dx+x dy...(1)

Q: a. Find P(X = 2 ,Y<2) b. Find marginal PMF of X and Y 1 2 3 C. Find P(Y=2 |X= 1) 1/6 0 25 0 125

A: We want to find the P(X=2,Y&lt;=2), Marginal pmf of X and Y , P(Y=2/X=1) Note: According to bartleby…

Q: what is the derrivative of y^3 + y^2cos(x) = x^3 -3x and what points in the function for dy/dx does…

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Q: The integrating factor of the given DE are already given below. What is the value of “n”…

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Q: dy – 5x-2+ 2x-1 – 6; y(1) =7. dx |

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Q: (a) Determine the appropriate Green's function by using the method of variation of parameters for…

A: Green's Function: The Green’s function approach is particularly better to solve boundary-value…

Q: dy 3; find dt dx when x = 2. dt Related Rates: Given y = x³ – 2x and %3D

A: As we know that; The Power Law: ddxxn=nxn-1 From the given problem: y=x3-2x ; dydt=3 First, we have…

Q: Q3) Solve the following boundary value problem using finite difference method d²y dy given that 3- +…

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Q: 4. Integration by Inspection y (2xy+ y²) dæ + x (y² – x) dy = 0

A: Differential equations

Q: Find dy/dxin terms of x and y if (x−a)^4+y^4=a^4. Assume that a is a constant. dy/dx=   implicit…

A: (x−a)4 +y4 =a4 a is a constant. dy/dx = ?

Q: 3. Obtain the Particular Solution when x = 4 and y = 1 (x+ y - 4)dx – (3x- y – 4)dy = 0

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Q: • The integrating factor of the given DE are already given below. What is the value of "n" y²dx…

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Q: f(x)=x²-2x Sf(x)dx using four subintervals by on Estimate -1 d M4.

A: Given function is We divide the interval [-1,1] into four sub-intervals with length of each is…

Q: 1- for y= sech x is equal to: dx a) sech' x tanh x b) 3sech sech tanh x c)-3sech2x sechx tanhx

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

Q: 1 The volume of a right circular cone of radius a and height y is given by V = ²y. 3 when x = 6 and…

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Q: The maximum rate of change of the function f(x,y,z) = x In(yz) at (1;2;) is equal to: V17/2 None of…

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Q: S S§y²cos(xy)dydx

A: we have given,                 ∫x =0x=1∫y=0y=π4y2cos(xy)dydx After arrangement,…

Q: The integrating factor of the given DE are already given below. What is the value of "n" yly²-x-7)dx…

A:

Q: The distribution of P(x,y) on a thin metal plate is given by ²P 2- dx2 = 0 ду? If we use a step size…

A: Given: Distribution of Px,y on a thin metal plate is, 2∂2P∂x2+∂2P∂y2=0 Step size: h=14, k=12   To…

Q: 5. Find the particular solution (IVP) for the DE below: a) dx +2 =8x when x = 2, y = 6 b) 3y2 = 2x +…

A: Use variable separable method

Q: 4-The area bounded by the curve y = 2x- r and the x- axis is 5- if y = x - 2r +4 and x = t +2 then…

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Q: Area between curves y=e^5x y=e^3x x=1

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Q: . Solve the following boundary value problems. (a) y"+y =0 with y(0) = 0 and y (T) = 1. %3D %3D %3D

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: 6 If the substitution y = xº is made, the 64 3√√y 3 + √√y integral [ 1 dy will become

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Q: 2. Given the joint pdf of X and Y, fxx(x, y) = { '0" (4xy 0<x< y <1 other wise Find the marginal…

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Q: 5. Find each of the two areas bounded by the curve y = x3 – 4x and y = x² + 2x. Solve in two ways.

A: Consider the two curves: y=x3−4x and y=x2+2x. The area of the region bounded in interval x∈a,b by…

Q: se the method of variation of parameters to determine a particular solution lo the given equaliol…

A: we have given the differential equation y'''-15y"+500y=e10x we have to find the particular solution…

Q: Consider a risk process with X, ~~ y(2, 2) with loading factor 15%. Using the approximation eR* * 1+…

A: Solution

Q: d y' of y= In(tanh2

A:

Q: The integrating factor of the given DE are already given below. What is the value of “n” y2dx…

A:

Q: Given Z = ye¯2a + 3y ; where x = ln 2 and -2x y = 2 with possible errors Ax = 0.01 and Ay errors in…

A: Key points required : The absolute error for the function  fx,y is δf=∂f∂xδx + ∂f∂yδy  The…

Q: 2 -πx²y. = The volume of a right circular cone of radius ï and height y is given by V 3 dy when x 4…

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Q: | by inspection: (3y° + xy kdx + (x°y² – 2}kty = 0 1. Integrating factors found

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Q: 1) Find the solution of the following equation: y"+ ly 0, with y (0) = 3 and'y (0) = 3 with A<0. Is…

A: Let λ=-a2&lt;0 Then, y"+λy=0 ⇒y"-a2y=0 Auxiliary equation is m2-a2=0 ⇒m=±a So, the general solution…

Q: 3.) What is the Relative Absolute Error for y at x = 1.5 if the Euler's Method is applied with step…

A: Sol

Q: The integrating factor of the given DE are already given below. What is the value of "n" yly²-x-8)dx…

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Q: 2. Evaluate dy/dx for y= x In x 1+inx

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Q: 16 Suppose we know that (3fx)-2)dr-6 4 and that Sxf (x²) dx =8. ise this information and properties…

A: We have to find ∫04fxdx

Q: Compute ∆y and dy for y =x + 5/ x − 1 where x = 3 and ∆x = dx = 0.1.

A: Consider the provided function, y=x+5x-1 Find the derivative of the function.…

Q: The integrating factor of the given DE are already given below. What is the value of “n” y2dx…

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Q: y"+y = e" what is the nonhomogenous(particular) solution of the given differantial equation?

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Q: Given Z = ye 3r + 2y; where a = ln 2 and y = 2 with possible errors Ax = 0.01 and Ay = 0.03.…

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Q: 1 The volume of a right circular cone of radius x and height y is given by V TXʻY. Suppose that the…

A: Given that:                        Volume of the cone, V=13πx2yV=204π cm3x=6y=17

Q: Can you help me step by step?

A: Let u=1+x^4