Consider the following differential equation. (x2 + y2)y′ = y2 Let  f(x, y) =  y2/x2 + y2 .  Find the derivative of f.

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A: Given,              1-i4To find : Use De Moivre's theorem to evaluate the expression.We know that,…

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Q: V9x2-12x +11 Evaluate lim x-1/3 3.x-1 -2 O NONE OF THESE O O o O O

A: To evaluate the following limit.limx→-13-9x2-12x+113x-1

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Q: 6. Rewrite the following as a single trigonometric function: sin? x COS x + COS x (Hint: Use the…

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Q: mutliple choice- I need help asap please!

A: a. limx→-4+f(x)    This limit means what is value of f(x) when we approach -4 from right(right…

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Q: Find the intervals on which f is increasing and decreasing. f(y) = sin y - y cos y on 2' 2

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Q: Domain. The domain of 8/x + 8 g(x)=. 3x2 - 12x + 9 can be written: O (-0,3) U (3,8) U (8,00) O…

A: The given function is: gx=8x+83x2-12x+9 To find the domain of the function g(x).

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Q: 8) Solve the initial value problem: y' = 5e +9x²- 7x y(0)=9

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Q: onding to the given vector equation. r(t) = (P -1)j+ 3tk, -1sts1

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Q: 3. Find the length of the curve r = e® for 0ses 2n.

A: Given polar curv er=eθ   ; 0≤θ≤2π

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Q: 2 2 Write the equation in polar form: x + y = 225 %3D

A: Given,               x2+y2=225

Q: Let F = sin (2x + 4z) i – 8ye** k. Calculate div(F) and curl(F). (Express numbers in exact form. Use…

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