. Separation of Variables: x(y +1)dx+ 2 dy = 0 .

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A: Polar equation of the curve is r=3-sin(2@)

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A: Solution: y''+4ay'+(4a²y+4y)=0 and y(0)=-2, y'(0)=-1.

Q: 00 2k=1 gk2+3k –2

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A: To find the equivalent form of the given expression apply the following formulas.

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Q: Obtain the differential equation of the family of plane curves described and sketch several represen...

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Q: Homogeneous Differential Equation: (x* +2.xy – 4y² kdx – (x² – 8xy – 4y² ldy = 0 y. x==; y = wx; d =...

A: This question is based on solution of Homogeneous differential equation.

Q: 69. Suppose that f(1) = 2 f'(1) = 3 f(2) = 1 f'(2) = 2 13D %3D g(1) 3 g'(1) = 1 g(2) = 1 g'(2) = 4 %...

A: By Given conditionSolve only question 69 (d)Given :c(x)=f(g(x))f(1)=2, f'(1)=3, f(2)=1, f'(2)=2g(1)=...

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Q: oWE NING METHOD OF VNDETERMINED COE FFI CIENTS (o -4D+3) x = 2 cost + 4 vint

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A: Topic = Derivative t =1 sec

Q: 9. lim e 10. lim e sin 6x 11. lim 5*+6 12. lim

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Q: Ch 3.5 #10 Can you show me how to do this

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Q: Instruction: Determine if f is continuous at x = c. Also, determine if f is differentiable at x = c....

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Q: Eliminate the arbitrary constants y = x2 + ax + be-*

A: We have to eliminate the arbitrary constants y = x2 + ax + be-x

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Q: dx 5. Evaluate J 9-4x² eax dx 6. Evaluate f 1+e6x dx

A: topic - indefinite integral

Q: Consider the polar equation r- 3+8 sin(8), whose graph is shown below. 10 8 2 -6 -4 4 6 Notice that ...

A: The given polar equation is  r=3+8sinθ. We have to find four angles θ where the tangents are vertica...

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Q: 5. Law of Cosines to find the remaining side(s) and angle(s) if possible. A) BB = 72°40', c = 16m, a...

A: Let's find. 

Q: J Va4 + 1 ‚4

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Q: 1) CSc y di + secx dy =0 CSC y Y.

A: Given query is to solve the differential equation.

Q: Use Simpson's Rule and all the data in the following table to estimate the value of the 20 integral ...

A: Follow the procedure given below.

Q: SOWE THE DIFFERENTIAL EQUAMON (2xy+ xIn 3x)dy + (x ty) d (x ty) dx = 0 when x = 3 y= 2 %3D

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Q: - Separation of Variables: x(y+1dx+| 2| dy = 0

A: Given:- x(y+1)dx+yx2dy=0   To find:- General solution of given differential equation

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Q: Find dy/dx by implicit differentiation. x3 + x2y + 7y2 = 4 %3D y' = %3D

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Q: Given that sec(0) = and 0 is in Quadrant IV, what is tan(0)? Write your answer in exact form. Do not...

A: We know that the trigonometric identity; tan2x+1=sec2x   Given: secθ=133

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Q: lim ( 125, + 2 2x – 7 x→5

A: Find your answer below 

Q: The differential equation (2x' - xy - 2y+3 dx- (x²y+2xdy = 0 is exact because OM ON

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Q: Find the differential equation of the family of plane curves described. Draw at least three members ...

A: To find :The differential equation of the family of plane curves described.Draw at least three membe...

Q: For what values of r does the function y = ex satisfy the differential equation y" – 4y' + 2y = 0? (...

A: We will differentiate y and put in the equation and then will find the value of r.

Q: Find an equation of the tangent line to the graph of the equation at the given point : y = 16 – x² ;...

A: The given equation of the graph is y=16-x2 and the point is (3, 7) . We have to find the tangent lin...