Problem 7 Let f(x) = a) What are the horizontal asymptotes of f(x)? b) What are the vertical asymptotes of f(x)? c) Where is f(x) increasing? Decreasing? d) Where is f(x) concave up? Concave down? e) Sketch a graph of f(x). Make sure to label extrema and points of inflection. . Then f'(x) = (and f"(x) = 2x(x²+12) (x²-4)3 inlog

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A: The given equation is; y'=(3x2+y2)/xy, y(1)=1.

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A: use the derivative property for finding the answer.

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A: f( x ) = 9x9 + 6x6 - 6x3 - 2

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Q: z1 and z2 in polar form. (Express ? in radians. Let 0 ≤ ? < 2?.)

A: since we know that if  z = a + ib be complex number then its polar form be z = r cosθ+isinθ   where…

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Q: 30. For the expression below, explain how you will find the restriction(s) for x. log(x²-4)-log(x +…

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Q: V. Use Variation of Parameters to find a particular solution for y" - 4y'-12y = et

A: Please see the below picture for detailed solution.

Q: - 1 Find ²¹ dz x² +C

A: As we know that, The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And use…

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A: Concept If f( x ) is continuous at x = a then limx→a-f( x ) =limx→af( x ) = limx→a+f( x )

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Q: Write the sum using sigma notation: 6+8+10 + 12 + A = Β: = A + 32 = Σ B, where n=1

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