Use the Root Test to determine the convergence or divergence of the series. (If you need to use co or -00, enter INFINITY or -INFINITY, respectively.) lim n-00 00 Σ n = 1 a -7n 6n + 1 = converges O diverges O inconclusive 3n

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A: f(x) = x2-500x

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A: Given that, the function is                   f(x,y) = sin-1x2+y2 Clearly, the domain of the sine…

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Q: Problem 3. Compute the following integrals. 2√√/22-22 V 1. √ √ 5√2²2² + y²dydz

A: Note:-Since you asked multiple questions ,according to our policy we can solve only first question…

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A: Checking the differentiability at point P.

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Q: 5. 1 Which of the following statements about the series (A) The series diverges by the nth term…

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A: Clearly the intersection point of the three planes will satisfy the three equations of planes.…

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Q: Simplify the compound fractional expression. 4 c-1 4 1+ 1

A: We are required to evaluate: 1+4c-11-4c-1

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A: Here we find the first and second derivatives of given function.

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A: Slope of tangent line is f'x=ex+3x

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Q: Determine if A lim →0 sin(4x) exists, and if it does, find its value. 2. limit = 2 1. none of the…

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Q: 1. Find the area of the shaded region. a. y = 3r-r² y=r: (2, 2)

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Q: 3+ I G (a) Use the graphs of F and G functions above, find the value of ()' (2).

A: By the divison rule of differentiation we can easily solve this.

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A: function is always discontinuous at hole

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Q: 5. Sketch the region enclosed by the given curves and find the area of the region. π c. y = - sin(x)…

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Q: Find the area of the surface. The part of the plane 4x + 4y + z = 16 that lies inside the cylinder…

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A: We need to find the year when animal died.

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A: I=∫abf(x)dx here b=b-an

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A: Given data

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A: Show that v→ is an eigenvector of A+B and AB

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A: Gu=cosh-11+u2, u>0

Q: Letr(t) = Find 7'' (t)

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Q: 3. Find the x-intercept, y-intercept and z-intercept of the plane: (x, y, z) = [5, 4, 3] + s[1, 0,…

A: Here , Given that equation of the plane .

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A: The question asks to give restrictions must be made on x, y, and z so that the triple (x,y,z) will…

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Q: A price p (in dollars) and demand x for a product are related by 2x² + 2xp+50p² = 29600. If the…

A: The price (p) and demand (x) for the product are related by 2x2 + 2xp + 50p2 = 29600 Find the rate…

Q: Let f:[1,2]→ R, f(x) = |x|, and 9 = {-1,0,1/2,2}. (a) Draw the graph of f. (b) Compute the lower and…

A: Given: