Evaluate the limit. lim 318 3n+1 (n + 1)! (-1)+2. 3n nl (-1)"+1 10 16 22 (6n + 4) 10 16 22 ... . [6(n + 1) + 4] Submit Skip (you cannot come back) = 11 I X

Q: 2. Use the Limit Comparison test to determine convergence or divergence. 1 Σ n=1 n√√√n+1

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A: We have given function  fx=x3-3x+11 f'x=ddxfx f'x=ddxx3-3ddxx+ddx11 f'x=3x2-31+0 f'x=3x2-3 Put x=-2…

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Q: Evaluate the given expression. Take 0 A = 2 1 -1 0 -1 AT + 3CT 000 and C= 1 1 -1 1 -1 -1

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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Q: Given that f(1.5) = 1 and ƒ(1.7) = −–8.3, approximate ƒ'(1.5). f'(1.5) 46.5

A: It can easily solve by newton forward formula.

Q: Find f'(x) if f(x) = -8,2cos. f'(x)

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Q: -S dx x² + 2x + 5

A: Question no. 29,Giiven,             ∫1x2+2x+5dx

Q: 3. Determine the following for the vectors: p = [2, 3, 6], q= [1, 5, 4]. a) p - 29 b) p q c) px q d)…

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Q: Consider the function ƒ(x) = −6x² + 8x − 11. (a) Find all critical numbers c of f. C = 2/3 (b) The…

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Q: Given f(x) = 1 e + 3 sin 2x. Taking 1.2 as a first approximation to a, apply the Newton-Raphson…

A: Please see the below picture for detailed solution.

Q: ¹/f F F. ds for the given vector field F and the oriented surface S. In other words, find the flux…

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Q: G. Identify and sketch the following: a) 4y = x² + z² b) 3x² - 4y² + 12z² + 12 = 0 c) 16x² + 16y² −…

A: The given equation is: 16x2+16y2-9z2=0 We can simplify this equation by dividing both sides by 16:…

Q: 2. [DA2] Consider the function f(x) = x³ + 3x² - 24x + 4 over the interval [-8, 4]. a. Find all…

A: According to our guidelines , we can answer only first three sub-parts. Kindly re-post other…

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Q: Find all the x-coordinates (in increasing order) of the 2 points on the curve x²y² + xy = 2 where…

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Q: - / 2x³ - 8x² - 63x + 10 X 2 x² - 4x - 32 dx

A: We are required to find the value of ∫2x3-8x2-63x+10x2-4x-32dx

Q: d) Find h¹(x) and verify that h(h'(x)) = x and h¹¹(h(x)) = x. 7e.

A: Given h( x ) = x-2x-4

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A: Given: P(x) = ln-x3+3x2+189x+1  ,     0≤ x ≤ 10

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A: Given integration is ∫01∫13(12x3-27x2y2)dydx

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A: Given: The integral is ∫x1cost2dt in the interval 0,1. To find: Average value of the function.…

Q: 31. [2³² √/3 + 2x − 2² de dx

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Q: Find an equation of the tangent line to the curve at the given point. = In (xex*), (1, 1) y

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Q: 13. Find the curvature of the curve y = x at the point (1, 1). 14 Find

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A: Given,            The curve is y=4x32+5 and the interval is shown in below graph:           We know…

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Q: Find length of the following curve f(x) = 2 = |x|, x = [-2, 2]. L= = 1.5) 1.0 0.5 √1+ (y')²dx=[ 2

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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Q: Problem #6: Which of the following is a solution to the equation z³=(√√3+ i)? (A) 2¹/3 [cos(7ñ/9) +…

A: Given query is to find the solution of the expression.

Q: dy dx = e-y-x

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Q: α. 3 n Σ 4 n=1 |

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Consider the differential equation dy -= 5(2x+3)sin(x²+3x+ dx <+). Part A: Find the equation of the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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Q: Fin f'(x) when f(x) = (5x² + 1)².

A: To find the derivative of given function

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Q: Evaluate the given integral by using three terms of the appropriate series. 0.7 0 sinx²dx 0.7 S…

A: let  J=∫00.7sinx2dxwe know series of sinx is sinx=x-x33!+x55!

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Q: If 5x² + 4x + xy = 4 and y(4) = -23, find y'(4) by implicit differentiation.

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Q: 1. Find the limit. a) lim arctan(e) T}00

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Q: paper

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Q: 12. Prove that the function f(x) = x + sinx-1 has a root somewhere on the interval [0, n] using the…

A: Please see the below picture for detailed solution.

Q: Test the given geometric series for convergence or divergence. If it converges, find its sum. 2 2 2…

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Q: 2. Explain what it means for vectors to be each of the following: a) equal b) opposite c) collinear

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A: Given function y = x.800-x2

Q: Evaluate the given expression. Take A = [- 000 -1 1 4A - B 0 _2] and 8-[-1 B = 10 0 -2 -1 -3 -1 0 -1…

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