Use the Root Test to determine the convergence or divergence of the series. (If you need to use ∞ or -0o, enter INFINITY or -INFINITY, respectively.) -7n 3n 2n + 1 n = 1 lim V la,l = n- 00 O converges O diverges O inconclusive

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A: Here we have to find the truth table.

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A: This is a problem related to parametric equation plotter. Based on the x, y and z value in terms of…

Q: We want to fenca in a ne slide b up againd a lacae building and Idbesn't noedh fancing rechanguler…

A: This question can be solved using the concept of maxima or minima.

Q: Differentiate the following using implicit differentiation 3/a + V = 7

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Q: d Calculate r:(t) - r2(t)] and r:(t) x r2(t)] first by differentiating [ri(t) × r2(t)] first by…

A: Given that     r1(t) = cos(t)i + sin(t)j + 8tk    r2(t) = 7i + tk

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A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

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Q: 3. fesec'e Vran e* + 2 dx

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Q: Evaluate the limit 11г3 — 7? — 9х lim 10— 5х — 5а3 I+ 00

A: This question can be solved using the concept of limits.

Q: 24) use the Refio Test to determine tue canvergen ce or divergence of tue seri's 7n (~1)"(4)'…

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Q: 6. v(y) = In (y² – 8y – 1)

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Q: Describe the graph of the equation. r = 2 cos t i- 10 sin t j + k O An ellipse in the plane x = 1,…

A: Parametric plot÷

Q: 1. Let -1 -5] 3 -7 3 -6 -3 A = B= 6. 5 -3 -2 4 2 | -3 Determine which (if any) of the following…

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Q: Find the second and third derivative of the function (a) f(x) = x6 – 3.x5 – 41x – 73 - |

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Q: v F= F=

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Q: no1

A: Topic:- application of derivatives

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Q: 2. Use the limit theorems to find the following limit. x2 – 5x – 14 lim x→7 x - 7

A: Given :limx→7x2-5x-14x-7

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Q: Find div F and curl F if F(x, y, z) = x*i – 11j + yzk. div F= curl F=

A: Vector

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Q: Problem No. 1: Evaluate - dx using basic substitution method.

A: First I have used the substitution to make integral easy and then evaluate it.

Q: Consider the function f(x)=−3x2+30x−2.   a.   ​Determine, without​ graphing, whether the function…

A: Given; f(x)=-3x^2+30x-2

Q: 1. The approximate value of -31.8 using linear approximation O -2.0025 O None of the choices O…

A: Ni

Q: What is the lim,→1 4x 7 .? x+1

A: limx→1 4xx+1The function is defined at x=1.limx→1 4(1)(1)+1limx→1 41+1limx→1 42=2

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Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

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Q: pind tue indefinete integral S In(s-1) ds

A: ∫ slns-1dsLet u=s-1=∫u+1lnudu=lnuu22+u-∫12u+2du=lnuu22+u-u24+uSubstitute back…

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Q: Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating dt dt' the product directly and…

A: r1(t)=cos⁡(t)i+sin⁡(t)j+6tk,r2(t)=5i+tk Given:  ddtr1(t)⋅r2(t)=r1(t)⋅dr2dt+dr1dt⋅r2(t) and…

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A: Topic = Integration

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A: Topic = Derivative

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Q: 4–9x² -dx

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Q: SxV9-2x2 dx god Find .000.8S

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Q: short

A: Please refer to the image below

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Q: Question 5 Consider the exact first order diff. equ: M(x, y) = 2.xy –3x? N(x, y) = x² - 2y (I):…

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Q: Show that g : B → A, g(x) = √ln x is the inverse of f. Why is f^−1(x) 6 ≠ −√ln x?

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Q: (D2 – 1)y = 2e-*(1+e-2*)-2, %3D

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Q: Find the area of the triangle. Round to the nearest tenth. A 61° 13 mi 7.2 mi C В 14.3 mi? 12.6 mi?…

A: Given query is to find the area of the triangle.

Q: Fit a second degree parabola y = ax² + bx + c to the following data %3D 3. y 1.8 1.3 2.5 6.3

A: Normal equations associated with y=ax2+bx+c are: ∑y = a∑x2+b∑x+nc ∑xy=a∑x3+b∑x2+c∑x…

Q: 1. Find fa(x, y) and fy(x, y) given f(x, y) = (csc y) Arcsin(r2).

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Q: In(x) -dr

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Q: In a

A: We have to find given indefinite integral.

Q: 3) f(t) = t*e?t %3D

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: A. (, 글) %3 ( B. (- , -) =(

A: We will find the coordinates in polar form.