Find the line of best fit for x: 2 2 68 10 y: 01233 O ŷ= 0.344x+0.125 %3D O ŷ = 1.29x - 3.14 %3D Oŷ = 0.992x +1.34 %3D 0.344x 0.125 %3D - o ŷ = 1.29x + 3.14

Q: Q4 If f (x, y) = x sin y + ey asf ax2ay3 Find

A: Let's find.

Q: y = = Vx, 1s xS 8 Intograte ith

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Q: y' + 2y = e*,

A: Note: Since you asked multiple questions, I solved first one if you want answer of other questions…

Q: a) FVoa = ? PMT - 300 r= e 4%=0.04, Az0.04 12 2 0•00333 %3D 5x 12 z 60

A: According to the given information, it is required to rewrite the answer. For part(a)

Q: 5.Find f, L L*(x² + y² )dydxdz

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Q: f(x, y) = x + y' subject to x + 4y = 29 occurs.

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Q: Use the method of variation of parameters to find a particular solution of y" – 5y' + 4y = e*. %3!

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Q: For Va. Vy evaluate y' when y = 4.

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Q: b. min f (x, y) = 3x² – y² s.t. 2х — 4у 3D —11

A: Minimum value of function is determined using lagrange multiplier and its value is -33/4.

Q: Find F(s). F(s) = £{t(et + e5t)2}

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Q: 3 5) Differentiate with respect to x: y = %3D 3x e

A: Solving the problem by finding the differentiation.

Q: D={(x,y):4 < x² +y² < 81,< x <-V3y}, V3 Find [S, dA JJp y2

A: We will use polar co ordinates to solve the problem

Q: Solve the following equation by using separation variable method: y(x,0)=10 t> 0 y, (0,1) = y,(7,t)=…

A: The given problem is to solve the given partial differential equation with given initial conditions…

Q: 3. If GH = 7x + 18 and JK = 81, find x. %3D H G 丰 K %23 世

A: In this question given that two triangles and both are same . Their sides are same and we can say…

Q: 23. y²dx + (xy – 1)dy = 0

A: Let's find.

Q: f(z, 9) = 82" + 5y² + 4z°y+ e7=y of Calculate

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Q: find dy/dx

A: Known formula: ddx∫rxqxftdt=fqx q'x-frx r'x.

Q: Use variation of parameters to find the particular solution to y'' + 5y' + 4y = 2e-34 Y(t) = […

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Q: Find dy for the given values of x and Ax. y= 2x° - 7x; x= - 2 and Ax = 0.2 dy =D %3D (Round to the…

A: Solution: The objective is to find the value of dy

Q: Consider the following IVP: y"+a2y = 0; y(0) = 1, y'(0) = 0   Find the general solution

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Q: Find dy for the given values of x and Ax. y = 5x° - 9x, x= - 2 and Ax= 0.2 dy =D %3D (Round to the…

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Q: %3D 3. If GH = 7x + 18 and JK = 81, find x. H G 丰 K 廿 世

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Q: Find the value of max. (y, g subject to yit Ye ty3=53 %1YL ;Z0 3.

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Q: Find the solution for: y' – x e = 0 using separation of variables.

A: Solution of differential equation

Q: dy 4. x2 + y? = dr xy (Bernoulli DE) %3D

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Find S y dy y+2 using the substitution V +5=√y+2

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Q: eY+Ve2y-4 5. x = In sove for y“ 2.

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Q: y" – 4y' = x2 By used Variation of Parameters Metho

A: Topic:- differential equations

Q: For x=e y=In 2t, find y ' when x=e. x=e• 4e 4e

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Q: 2d) Let a e R find the solution of y' (x) – ay(x) = 0

A: as you didn't mention question number to be solvedso I solved first question. For Further solution…

Q: Find the value of n in the function w = x •rn satisfies the equation Wxx + Wyy = 0, where r2 = x² +…

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Q: Evaluate 2y dS where S is the portion of y +z = 4 between x = 0 and x = 3-z.

A: To evaluate ∫∫S2ydS where S is the portion of y2+z2=4 between x=0 and x=3-z

Q: Q2) Compute y(x) then estimate y '(0.24) -1 y -0.4596 I 1.5838

A: Linear Assumption: For calculating the y(x) value we calculate slope value from the given tabular…

Q: Approximate y(2.1) using the points (2,0.693147) , (2.1,0.741937), (2.2,0.788457), (2.3,0.832909),…

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Q: Find the value of x and KL if K is between J and L. JK = 2x, KL=x+2, and JL = 5x - 10.

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Q: Find the function​ y(x) satisfying d3y/dx3=36, y′′(0)=14, y′(0)=5, and y(0)=8.

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Q: Find for following ds 1.y = (x³ + v3x)S

A: As per our guidelines we are supposed to answer only first question. If you want solution of another…

Q: a) Let y" + xy' + y = 0 be given. Why does the approach y(x) := e^× does not work?

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Q: Approximate y(1.2), with h=0.1 given that xy'= y– 2x² , y(1) = 2, by RK-4 using 5-digits rounding.

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Q: Find dy for the given values of x and Ax y%3D5X- 6x, x= -2 and Ax = 0.1 dy = (Round to the nearest…

A: Please refer the attached image for complete solution. THANK YOU.

Q: Q2) Compute y(x) then estimate y '(0.24) 0 2 y -0.4596 1 1.5838 -1

A: Since no specific method is mentioned to solve the given problem, so using numerical differentiation…

Q: Determine dz for z = f(x, y) = e^(x2y2) if x changes from 1 to 0.99 and y changes from 2 to 2.02.

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Q: Find dy for the given values of x and Ax. y = /2x+9; x=1; Ax= 0.12

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Q: 4.8 12 4.8° X. at Response

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Q: ationalize the d V49

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Q: Calculate y(k)(0) for 0 ≤ k ≤ 5, where y = x4 + ax3 + bx2 + cx + d (with a, b, c, d the constants).

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Q: Find E[Y(z)] when Y(z) is given by 2z' + 6z² + 5z + 1 2(2z + 1)

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Q: Find y' given y = (x³ – x² + 3x + 10)S

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Q: Extended Power Rule Find the derivative of the followingfunctions.

A: Given:  37) f(x)=3x-938) y=4p339) g(t)=3t2+6t740) y=w4+5w2+ww241) g(t)=t3+3t2+tt342)…