na on y =a sec 4 7. Find the radius of curvature at x =

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Q: 4. Find and classify the critical points of a) f(x) = and b) g(x) = 3x³ – 5a3+ 1 5- 27.

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Q: 3. Find an equation of the hyperbola having foci at (4, 2) and (4,8) and vertices at (4,4) and (4,…

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Q: 2-4x3 3. lim X→0- 5x²+3x³

A: To evaluate: limx→0-2-4x35x2+3x3

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A: Prequisites

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Q: Solving a differential equation using the Laplace transform, you find Y(s)=L{y} to be Y(s)= − 48/s5…

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Q: 2. Which phrase best describes a function which has the following table when it's graphed. -2 -1 2 7…

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Q: EXERCISES 2: Find all the local maxima, local minima, and saddle points of the functions 1. f(x, y)…

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Q: Find the absolute maximum of f(x,y) = 3x2y2 + 2y2 + 2x2 bounded by y = x, y = 0 and x = 5.

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Q: Find the gradient of the function at the given point. f(x, y) = 4x + 3y2 + 6,    (1, 4) ∇f(1, 4) =

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Q: Find the taylor series being centered at the given values of a (use the known n series) f(x) =…

A: To find the taylor series being centered at the given value of 'a'.fx=x-35-xa=3

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A: This question can be solved using the concept of area under curves.

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A: Radius of convergence of the given power series  ∑n=0∞ 4n2+2nx-3n

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Q: log4(x)-2logx(4)=1

A: log4x-2logx4=1

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Q: Find the values of a and b such that f is differentiable at r = 3 and then sketch the graph of f if

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Q: Given the power series 2 (-1)" x" n = 0 Find the Integral of the Power Series. 00 A 2 (-1)" x" | dx…

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Q: Consider the given: х3 — 4х2 x(х + 8)(х — 2) (x + 2)3 8(7x – 4) f(x) = ;f"(x) (x + 2)2 i f (x) : (x…

A: The given functions and their derivatives are: f(x)=x3-4x2(x+2)2=x2(x-4)(x+2)2,…