Determine whether the given converges or diverges. n 2n +1 n=1

Q: x2 dx (x² – 25)5/2

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Q: Problem 2 For each of the following, indicate the proper equation for work: Constant Pressure…

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Q: (a) A spring exerts a force of 12.8N when stretched 1.6m beyond its natural length. Assuming that…

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Q: sin (2t + 1) - dt cos? (2t + 1) 31.

A: Use trigonometric substitution method for solving the integral.

Q: 1. Find the general solution of the system with the following equations. lip = -9x + 5y dt dr = 2x –…

A: Given system of differential equationdxdt=2x-2y    and    dydt=-9x+5yLet    X=xy      , A=2-2-9…

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Q: Directions: Evaluate the following integrals. Show complete soiution. INTEGRALS SOLUTION 1. fx*…

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Q: Solve [15x/1- xdx . S 3xV3x2 + 4 dx = --

A: 1) the given integral is 15x sqrt(1-x). 2) the given integral is 3x sqrt(3x2+4).

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Q: Suppose (2,1) is a critical point of a function f (x,y)· If D=4x – 5y and f=x+y, XX classify the…

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Q: 2 y = cos( x 4

A: answer is in next step

Q: Suppose f is continuous on [3, 10] and differentiable on (3, 10). If f(3) = -1 and f'(x) 2 5 for all…

A: We have to find the minimum value of f(10).

Q: Find the equation of the tangent line  -4x2 + 3y2 = -24 ; (-3,2)

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Q: Determine the equation of the tangent line to the curve f(x) = 2sinx + sin²x at the point (E)

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Q: "f(x) = f' (5) = = ?. then %3D ?. I+5 (Answer accurate to 2 decimal places.)

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Q: Let f(x) =x²-3X²- 24 x +26 a) the open intervals on which flx) is incheas in g aN the open intervals…

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Q: Consider the parallelepiped with adjacent edges u = 7i + 3j + k v = i+j+3k w = i+ 8j + 6k Find the…

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A: Topic = Derivative FALSE

Q: 2-1)"13_n+6 3n +1

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Q: Let g(x) = F(t) dt, where fis the function whose graph is shown. y 3- fAt) 2- 1 t 8 16 24 32 -1 -2…

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Q: Use the Second Derivative Test to find the location of all local extrema in the interval (-21, -9)…

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Q: y II. y f'

A: Only one point is able to distinguish between the curves.That is f'(x)=0when f'(x) crosses 0 whenf…

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Q: Vx2 – 4 dx

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Q: Given f (x,y) =4e* In y with x = In(u cos t) and y = u sin t. The correct value of dz is given by…

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Q: #12: use the definition of the derivative to calculate the derivative of f(x)=9x^2

A: Definition of derivative for a function f(x) is given by f'(x)=limh→0fx+h-fxh

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Q: Find if the sequences diverges or converges. If converegs, find the limit. 1. an=n1/n

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Q: A rumor spreads among a population of N people at a rate proportional to the product of the number…

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Q: Determine whether the following converges or diverges. n 2n +1 n=1

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Q: 4. Find the average value of the function over [1,4] and all values of x in this interval for which…

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Q: (c) пcos (пп) 2n n=1 Hint: For part (c) write out a few terms to see the behavior of this series.…

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Q: At the hummingbird food factory, hot water containing 1/3 of a pound of sugar per gallon of liquid…

A: answer is in next step

Q: Question Using Rolle's theorem for the following function, find all values c in the given interval…

A: f(x) =2x3+452x2+21x-2Since f(x) is a polynomialIt is continuous on -4,2It is differentiable on…

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Q: 13 4. Consider the function f(x)% = for a 2 (a) Draw a graph of this function on the interval [0,…

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Q: The radius of convergence of the series 2 (n!)2 (x– 2) ² is equal to n=1 3" (2n)!

A: Given series ∑n=1∞   (n!)23n (2n)!(x-2)2

Q: 3 b. Compute the integral S 6x 2 dx using a limit of Riemann sums. Use right endpoints as evaluation…

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Q: f(x) dx = | IS(x)| dx =

A: Integration is the area under the curve and x-axis.