(d) I = √2xy ds_where c is defined by the parametric equations x = 4 cos 0, y = 4 sin 0 between 0 = 0 and 0 = П 3'

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A: Solving the given integral by substitution.

Q: :

A: As per the company guidelines,we can only solve first 3 sub parts, kindly post rest parts…

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

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A: please use according to form i did solved two equation because your question is not write clear that…

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Q: Ea: Siny dydx

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Q: Differentiate to find dy/dx a) y = xln(ex) b) y = csc2x1/2 c) y = x1/2 sin-1(pi x +2) d) exy+2 = ln…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 2 Express the flowing equation in Cartesian equationr = 1-cos e

A: The given polar equation is: r=21-cosθ

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Q: Find the direction field for the equation: y' = x + sin(y) + cos (x) at the point A = (0, pi3)

A: The direction field also known as slope field is used to graphically represent the solutions of…

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Q: siny dx + (x - sin? y)dy=0

A: Here, we will differentiate  siny dx+x-sin2ydy=0....(1)

Q: Find stationary points of y = cos (4nt)

A: given function is

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Q: i. y" - 4y + 5y = 39xe* sin(x) + 47e * sin(x)

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Q: dx and 3. Given the following parametric equation: =3t^2, =t^3+4. Determine without eliminating…

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