classify and find general salutin of di ffeten tind equation :- (l-2x² tany) dx - (x³sec_y ) dy=o '

Q: Find dy/dx by implicit differentiation. cot(y) = 6x – 7y 6. dy/dx = csc- (y) – 7 2 CSC

A: The given equation is: cot(y)=6x-7y

Q: ye(2y*) dy

A: Given the integral I=∫ye2y2dy     ....(1)

Q: Use the trapezoidal rule with n = 4 to approximate cos(x) dx finel

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Q: Use implicit differentiation to find dydxdydx without first solving for y. x^4+y^4=−2 dy/dx=?

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Q: (х+ siny)dx+ (хcosy— 2y)dy 3D0

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Q: COs x dy Find when y = dx csc(7x + 1)' dy dx

A: The given function is y=cosxcsc(7x+1)

Q: dy Find where y = sin²(V3x²). dx

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Q: y = sin²(2x) + %3D et dy Find Y dx Inx

A: We have to find solution

Q: et secydx + sinydy = 0

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Q: sin(2t)dt 0,

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Q: EXERCISE 1 dy -dx = 0

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Q: tan y dy + In (secy) In (6)sec® de

A: Given data:     The given integral is: . The given integral can be written as, Assume Let…

Q: sin(y)dx + cos(y)dy = 0 by exact

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Q: Find the 3rd derivative of the function given by the parametric equations x=1+sint, y=t−cost at t=0.

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Q: Approximate - -1x+3 -dx using trapezoidal rule with n=4 and Simpson's rule with n=4.

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Q: find dy / dx by implicit differentiation.

A: Given equation is x4y-8xy+3xy2=9. To find dydx. Solution: Power rule of differentiation states that:…

Q: Which differentiation rule is used to show d/ dx sin y = cosy dy/dx ?

A: To Determine: Which differentiation rule is used to show d/ dx sin y = cosy dy/dx ? Given: we have…

Q: A-Estimate J, 2e-3* dx using trapezoidal rule with four subinterval round your answer to one decimal…

A: Given is the integral  ∫-11 2e-3xdx The aim is evaluate the integral using trapezoidal rule.

Q: Integrate by changing to polar coordinates. '3 8x dx dy

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Q: Find the equation of the line tangent to the cardioid r = 1+ sin(0) at Ô0 =

A: Given that,, Here, differentiate w.r.t. ,we get, We know that, To find: equation of the line…

Q: Use implicit differentiation to determine dy given the equation x² + y* = sin y. %3D dx dy dx

A: From the power rule of derivative, ddx(xn)=nxn-1ddx(yn)=nyn-1dydx The derivative of siny with…

Q: )Find dy using implicit differentiation for sin (y)+ 6ex = y2 with respect to dx

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Q: Use the composite trapezoidal rule with the step length h = 0.1 to evaluate sin x -dx, in six…

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Q: plot parucul Solu 1. y" +3y' – 4y= sin wx, 2. y" +3y' – 4y = cos wx.

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Q: Find dy/dx in terms of x and y if arcsin(x'y) = xy". dy dx Submit

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Q: Find dy/dx of y = sin(x)tan(x)

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Q: Use the trapezium rule to find [2" dx taking ordinates with interval 0.25, in three decimal places.

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Q: Q) - Find of y = sin de dy ! -11

A: Siny = 1/x.

Q: I) Find the volume of the solid obtained by rotating the sine function between x -0 and x x about…

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Q: Find the integrating factor of dy/dx+2y tanx=sinx

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Q: for the equation dx ecosh-(x) = In(x) sinh-(y) Find %3D

A: Using differentiation of   product rule and implicit differentiation,

Q: Determine the speed (in meters per second) of a particle with a trajectory (3 sin (5t), 8 cos (5t)),…

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Q: Find the Sufface arca 0f the soid of revolution Obtained bu rotatig y=+2x With TtxE2 around メーaxis、…

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Q: dy =Cos x Sinx cotX 8-

A: As we know that; The standard form of the linear differential equation; dydx+Py=Q Where P & Q is…

Q: Describe the motion of a particle with posi- tion P(x, y) when x = 5 sin t, Y = 2 cost

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Q: dy Differentiate implicitly to find dx 7xy + 1 = 0 dy %3D dx

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Q: dy Find by implicit differentiation when dr? æ cos(y) = -4y dy dx? ||

A: Given the equation      xcosy=−4y        ........(1)

Q: dy Find by using Chain Rule for y = sin³4t dt

A: Here we do u and v subsitution to get the derivative of given function.

Q: dy Find by implicit differentiation da 3 + 4x sin(ry°) %3D dy %3D dr

A: Solution is given below:

Q: | sec? (y) /2+ tan(y) dy V

A: To evaluate: ∫0π sec2y 2+tan ydy

Q: Plot the cissoidr 2 sin 0 tan 0 and show that its equation in rectangular coordinates is x3 y2 2 - x

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Q: Integrate by parts: ex sin x dx 2.

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Q: Find / tan- -dx using integration bv parts. TM

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Q: tan y dy 1-tan2,

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Q: x' - 4xy + y = 4 %3D

A: Given,          x2-4xy+y2=4

Q: Find an integrating factor depending only on x that will make 2ye 5x* 3 sin y + 5xex + dx + (x cos y…

A: Given:            Let the differential equation is in form 3siny+5ye5x+2ye5xxdx+xcosy+e5xdy=0…

Q: dy +Hanx Siny = I Cos y die

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Q: Cosx 2) ). y dx+ týž - Sinx (²) dy = уч

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Q: dy ) Use implicit differentiation to find · dx' у2 — уе* — х Iп у%3D12

A: Implicit Differentiation: