Use the Ratio Test to determine whether the series is convergent or divergent. Identify an 8 Σ (-2)^ n² n = 1 divergent Evaluate the following limit. an + 1 lim Since lim n18 an an +1 lim n18 an ? 1 the series is convergent ✓

Q: Given cos(x)- 글 " what is the value of cos(x +)? 0 O via - IN I 12

A: Given that cosx=12. We have to find the value of cosx+π.

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Q: Use Gauss-Jordan elimination to solve the given system. 3x + 6y – 3z = −2 -2y + 3z = 1 6x + 6y + 3z…

A: Follow the procedure given below.

Q: D O 1.909 Question 14 Find the length of the plane curve given below. r(t) = 5cos(t)i+5 sin(t)j, [0,…

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A: (9)

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A: We can find the area bounded by the curve .

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A: The solution is given below

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Q: + 2x)² 4x +2

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Q: If f is differentiable and ƒ'(x)=x³− 2x² − x+2, then f is increasing on Selected Answers: [None…

A: In this question we have to find interval in which function is increasing.

Q: 1. Describe what it means for a relation to be a function. Provide an example of a function, and…

A: Description given below with example

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Q: The function s(t) describes the motion of a particle along a line, for any time t ≥ 0. s(t) = t² -…

A: Given function: st=t2-5t+5

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A: Here we have to find the net area of the region above the x-axis bounded by y=36-x2 and the graph…

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Q: 4. Solve for 1 [(ax)²-b²]³/2 J dx.

A: See this solution in below.

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Q: 3. y = √(1-x²³ √1-22

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Q: 8. Solve the differential equation: y' √x 7y

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. 157 (n + 1)62n + n =…

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Q: Solve the differential equation by variation of parameters. 1 7 + ex y(x) = = y" + 3y + 2y =

A: The given differential equation is;  y''+3y'+2y=1/(7+ex).

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Q: 52. If lim f(x) = 6 and lim, g(x) = 3, find x-2 (a) lim [5 f(x) - 4g (x)] (b) (c) lim [4 - xf(x)]…

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A: Here we have to find the y-intercept of the secant line

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Q: nd an equation of a plane passing through the following 3 points (1,-1,-1), (-4,1,4), (3,5,3)

A: topic- equation of plane through three points equation of plane passing through three points…

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Q: For f(x) = (x + 1)²-3 where x > -1, find: a. The inverse function, f-¹(x) b. The domain of f-¹(x) c.…

A: Given f(x)=(x+1)2-3 We know that, A function g is the inverse of function f if for y=fx,…

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A: We will use Ratio-Test to find convergence

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A: Follow the procedure given below.

Q: Rationalize the numerator. 2-2 sin y 2 + 2 sin y 2-2 sin y 2+2 sin y (Simplify your answer.)

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A: Given that , Internal temperature =180°F what is the differential equation to solve for It.

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Q: Evaluate the following integral using the Fundamental Theorem of Calculus. Discuss whether your…

A: We need to choose correct option.

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Q: -π/3 sinx-cosx sinx+cosx Evaluate f dx

A: To evaluate the following integral.∫0π3 sin x-cos xsin x+cos x dx