If F(x, y) = (6xy - 1,3x2 + 2y) and C is the circular arc along x² + y? = 2 from (1, 1) to (-1, 1), calculate the work done by the field on a particle moving along the arc. %3D

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A: Given vector is as follows

Q: 3. 5y“ y = 5y^2 4. 4x*y°m', 8xy°m', x’y´m 4 3 7 т, 5 3 т, 5.2, а, ь, с b’, c

A: LCM :  least common multiple of two or many number is known as LCM .    3.    LCM of  5 y2 , y = 5y2…

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A: Given:The motion is described by 3y''+4y=0, y0=5, y'0=6. We have to find the amplitude of the…

Q: Match the D.E. with a direction field: y' = t+y – 1, , y' = sin(t)sin(y), , y' = 2 – y, , y' = t(2 –…

A: NOTE: Horizontal axis is t-axis  .

Q: Q6:-Prove that: y" =1 y =csc(tan"") if

A: Given y=x4·csctan-114x2-1 Let tan-114x2-1=α ⇒tan(α)=14x2-1 ⇒cscα=2x ⇒y=x4cscα⇒y=x4(2x)⇒y=x22

Q: 5. Find if y = sin(vT +1). dr %3D

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A:

Q: find dylde O x+ tanxy =D0

A: In the question it is asked to calculate derivative of x+tan(xy)=0 with respect to x.…

Q: Q3 Find dy/dx on the graph y3 sec/x² + y² = cos2x at point (1, 2).

A: Answer

Q: 5. (ex + Iny +) dx +(÷Inx + siny) dy = 0

A:

Q: x'+y° Q4. If u = sin- sin-'( -), Show that x+y ди X- ди + y- = 2tanx (2 + ду

A: If u=sin-1x3+y3x+y, then show that x∂u∂x+y∂u∂y=2tanx.

Q: Find fy, fy, fyx, fyy,ty,fyx flx.y)=5e'nnyr9

A:

Q: V.EVALUATION: Given the following scores: 5, 7, 12, 14, 15, 22, 25, 30, 36, 42, 53, 65. Find: 1. Qi…

A: The given data is already in ascending order: 5,7,12,14,15,22,25,30,36,42,53,65 Q1=(n+1)4thterm…

Q: dx 7. = cosx cos² t dt

A: 7). To solve the differential equation: dxdt=cosx cos2t Solution: Re-arranging the given…

Q: y = Vr² + VT etin e y = r-5 y = (cos z)n. y = /tan 2x – sec3 (4x – 1)

A: as we are just given 4 functions and not any question so I assume we need to find the derivative of…

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A: According to question, Particle moves on x-axis direction, We have, Variable speed, v t = 10 + 4…

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A:

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A:

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Q: Use the method of Characteristic to solve U t tuux = 2t, u(x, 0) = 3x.

A:

Q: 1- Find dB/dx for the follow ing functi'on a)- xy = Cot (xy) b- y Sim(hs =-メy %3D c)- y?cos () 2x+2y…

A:

Q: Find the tangent plane to the equation z = 5y cos(4x - 6y) at the point (6, 4, 20). z =

A:

Q: Ev 2 x 2 [x²z dx - yx² dy + 2 dz along the curve C'shown in the figure. AZ 2

A:

Q: Find Use Simson (3/8), N=9 Siny dy Y 0

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A:

Q: 7 Find (b) x siny-ycosx-y 1.

A:

Q: Q3) Find dy/dx if 1- y= In /x 2- y3xsin

A: 1) d(ln(x))dxApply the chain rule: 12ln(x)d(ln(x))dx

Q: Given z = e2x cosy - esin2x, then Select one: CO Zxx + 4zxy = 0 Zxx = 4Zxy Zxx + 4zyy = 0 Zxy + 4zyy…

A: