) Find (dy/dx) for: tan-¹(x² + y) - eln(x³y) = 5sinh(y)

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A: Solution

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Q: Let S = { 1 − (−¹)ª | n € N}. Determine inf S and sup S. Justify. (-1)" n

A: Let us define set S  by giving values to n so that     S={2,0,2/3,0,2/5,...}. Hence S={1+(1/n) if n…

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Q: Question 11 Evaluate the limit lim (ln(3x² + 2) - In(x² + 1)) O ln 3 O In 3 01 00 O ∞

A: To evaluate the following limit.limx→∞ln3x2+2-lnx2+1

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Q: ۔ ۔ میرا میرے = 3 422 + 81(1 + 2 )2 dy .dz

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A: Here we have to sketch the function y=x4-8x2+8 ............................................ (1)…

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Q: 11

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Q: 4) Find equations for the planes: b. The plane through (1.–1,3) parallel to the plane 3x+y+z=7

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A: Since you have posted multiple questions i can do first question as per our company guidelines…

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A: To write that it is true or not.

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A: f(x) =x2 -4x  g(x) = -x2 here area function = f(x) - g(x) = x2 -4x  -(-x2 ) = 2x2 - 4x

Q: 3. (3y² + xcos xy) + (3x² + ycos xy) = 0 dx a) y + sen xy + x³ = 0 y² + sen xy + x³ = 0 y² + sen y +…

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Q: 7,000e0.1x dx   Find a substitution to rewrite the integrand as 70,000eu du. u=     du =        dx…

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Q: Consider the function f(x) = x²-4 x²+2x-8 (a) Find the x and y intercepts of f(x) (b) State the…

A: Explanation of the answer is as follows