II. Show that lim (x,y) →(0,0) x6 + 2y² does not exist.

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A: Given data:- The given expression is, θθd=3mL2KP+KDss2+3bmL2s-3g2L1+3mL2KP+KDss2+3bmL2s-3g2L

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A: We will find the required.

Q: 46. 5. In x X dx

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Q: 1-(SXOM) 2

A: Find the value of (w^0x^5)^-1

Q: 6) Find all the zeros of f(x)=x³ –3x²+4x-2 and write f(x) in factored form

A: To find all the zeros of fx=x3-3x2+4x-2, and to write fx in factored form.

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A: We will find the required.

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Q: 3. f (x)=√x³ + 6x²

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A: I am attaching image so that you understand each and every step.

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A: Given: Ax=y and Ay=x+2y.We need to find the value of a and b such that A5x=ax+by.

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Q: Given P(x) = x³ + 5x² + 4x + 20. Write Pin factored form (as a product of linear factors). Be sure…

A: Please see the below picture for detailed solution.

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Q: The intersection of the surface y = x² and the plane x = 0 resembles which of the following? 4

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A: Topic - derivative of a function We are given y=cos3(w)+cos(w3)and we know thatddxcos…

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Q: 1 x1-x-1 3. lim 1 √x +3 1 2x

A: We have to find the limit of: limx→1- 1x-11x+3-12x

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Q: 1. Using differentials, solve for the approximate change in the hypotenuse of a right triangle if…

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Q: y = e(c₁ cos 2x + c₂ sin 2x)

A: y = e-x(c1 cos 2x + c2 sin 2x) So, y' = - e-x(c1 cos 2x + c2 sin 2x) + 2e-x(- c1 sin 2x + c2 cos 2x)…

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Q: 1 + 1 = 3 if and only if 2 + 2 = 3. True or false? If 1 < 0, then 3 = 4. True or false?

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Q: Using differentials, solve for the approximate change in the hypotenuse of a right triangle if the…

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