Use the Limit Comparison lest to determine the convergence or divergence of the series. lim n-∞ 1 Σπηλος n√ n³ +3 8 n = 1 8 n 1 √n² +3 8 =L>0

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Q: True or false: If f(x) = 12 for all real numbers , then f"(x) = 0 for all real numbers .

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Q: b) Fully factor the following polynomial expressions. Clearly show all your steps. 6x²x2 16a²9b²…

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Q: Consider the function below. (Round the answers to two decimal places. If you need to use -∞o or ∞,…

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Q: 11) Find the absolute extrema of the function f(0) = sin³0-cose on the interval [0,2π].

A: We have to find the absolute extrema of the given function.

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A: The given function is; f(x)= -6e-5x^2/3.

Q: 17. f(y) 2 3 your 1³

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Q: Solve the following initial-value problem. ƒ'(x) = 2 cos (x), ƒ(²) = −8+√³ 3

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Q: Find the right match for the following ODEs in the dropdown menu = x y y' = 5+ sin(y/x) Choose...…

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A: The double integral of xsec2(xy), y from 0 to 2 and x from 0 to pi /6

Q: b) Fully factor the following polynomial expressions. Clearly show all your steps. 16a²9b² (x + 8)³

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Q: 11) Differentiate F(t)= t5 -3e2t + est

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Q: 2. Find the derivatives of the following functions. (i) y = In²(cos ¹(2x))+ √coth x² (ii) y =…

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Q: Antiderivatives Definition: The collection of all antiderivatives of f is called the indefinite…

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Q: the following limits analytically. -24x² +11x +21 1. Compute a. lim X-∞ 6x²-7x+12 b. lim (2x²…

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Q: Find the 5th partial sum, 55 of the series Σ(-1)" n=2 $5 = 0 ∞0 X

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Q: Consider the function below. (Give your answers correct to two decimal places. If you need to use -∞…

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Q: 12) Differentiate h(w) = √3w-√3+ + Vw- 1 VW 13) Differentiate f(x) = x²(x + 4) 14) Differentiate

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Q: 384. lim sin x-x x-0 x²

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Q: Consider the equation below. (If you need to use -∞o or ∞, enter -INFINITY or INFINITY.) f(x) = 2x³…

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Q: Determine whether the series is convergent or divergent. 00 Σ 1+4π n = 1 9n convergent O divergent…

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Q: Find the right match for the following ODEs in the dropdown menu y' + y" = 2x²y 10y' - y = e 2…

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Q: gral: 2 [15√² (15√x² - 81 x4 -da stitution is correct for this integral? m(0) (0) (0)

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