Test the series for convergence or divergence. (-1) +1 206 n-1 O converges O diverges If the series is convergent, use the Alternating Series Estimation Theorem to determine how many terms we need to add in order to find the sum with an error less than 0.00005. (If the quantity diverges, enter DIVERGES terms

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A: Let f, g: ℝ→ℝn be differentiable functions. To show that,  ddtft·gt=ddtft·gt+ft·ddtgt

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A: As per Bartleby guidelines for more than one question asked only one is to be answered please…

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A: NOTE: Refresh your page if you can't see any equations. .

Q: Consider the following function. x), a-0, n=3, 0≤x≤ 0.2 (a) Approximate f by a Taylor polynomial…

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Q: 4.2 Find the area of the region bounded by the curves ª 9x² and xx 9x between -3 ≤ x ≤ 3. Show all…

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Q: Find the length of the curve. r(t) = t² i + 9tj + 4ť³/2k, 1≤t≤4

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Q: What is the solution to the following system of equations? 5x + 2y = 2z = 6 x-2y+3z=11 2x + 5y-z =…

A: NOTE: Refresh your page if you can't see any equations. . the system Ax=b is  the augmented matrix…

Q: Evaluate. (Be sure to check by differentiating!) 1 9 Jes dx, x# -- 5 1 dx= 9+5x (Type an exact…

A: Here we evaluate the given integral and Check by differentiating.

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A: To find the total area between the curves of the functions graphed and x-axis. Use the formula for…

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Q: notation and show all of your 1. Graph the function where: (a) Continuous and differentiable for all…

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Q: The mean value of the function f(x)=2.9x25 from x=0.7 to x = 2.9 is

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Q: Model the data using an exponential function f(x) = Abx. x 0 1 2 f(x) 400 1,200 3,600

A: Since exponential function is given by: f(x) = Abx Where A and B are constants.

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Q: apply the Limit Comparison Test to determine whether the given series converges or diverges. ∞ n=1…

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A: Given: h(r,s,t)=ln(3r+6s+9t) We are required to find: The directional derivative of h at (1,1,1) in…

Q: -1 1.0 -1 110 8

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Q: Find the area of the region bounded by the curves x4- 9x2 and x3 - 9x between −3 ≤ x ≤ 3. Show all…

A: We have given two curves and we have to find the area of the region between curves.