sequential convergence Lim 3-8n h-oo n+2

Q: Question A vertical cylinder is leaking water at a rate of 8 m³/sec. If the cylinder has a height of…

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Q: Find the arc length of the parametric curve. x = 8 cos(t), y = 8 sin(t), z = 6t; 0 <t < T L = ||

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Q: I just need help solving this integral

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Q: Let f(r) = r³ – 3x² + 4. Using the Mean Value Theorem, determine the value of c € (0, 3) such that…

A: A detailed solution is given below.

Q: 12. The next iterative value of the root of x² – 4 = 0 using secant method, if the initial guesses…

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Q: What is the differential equation of the given 1 parameter family of solutions?

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Q: Consider the following function. f(t) = 4t + 5 Find its average rate of change over the interval [1,…

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Q: The radical center does not existif the circles are concentric TRUE FALSE

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Q: 5x2 + x + 16 dx x3 + 4x 9)

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Q: Find an equation of the plane that passes through the points (-2, 1, 1), (0, 4, 7), and (1,0, –1).…

A: The plane that passes through the point,       -2,1,1, 0,4,7 and 1,0,-1

Q: 5x 5y 7x²47 7x+7 • 0). Calculate div(F) and curl(F). (Use symbolic notation and fractions where…

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Q: Find the limit of the sequence: 4n? + 2n + 3 An 4n2 + 6n + 2

A: limn→∞ 4n2+2n+34n2+6n+2=limn→∞ 4+2n+3n24+6n+2n2=limn→∞ 4+2n+3n2limn→∞ 4+6n+2n2=44=1

Q: dy 3) Determine the of : In (ху?) %3D х у dx

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Q: C. VARIATION OF PARAMETERS 1. (D² + 1)y = secx tanx 2. (D2 – 3D + 2)y = 1 1+e-x

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Q: Homogeneous or Not? State the degree of the function. 4x^2-3xy+y^2

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Q: Inspect the graph of the function to determine whether it is increasing or decreasing on the given…

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Q: What is the average value of y= cos x on the closed interval -13]2 (A) -0.085 (B) 0.090 (C) 0.183 D)…

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Q: If L is a line in 2-space or 3-space that passes through the points A an B, then the distance from a…

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Q: Determine if the series converges or diverges without using the different tests discussed in Lesson…

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Q: Problem: 2 a. Find all the asymptotes of the following functions 4x* + 4x3 + 12x2 + 6x – 24 6x* + 8x…

A: We need to find asymptote of the given function.

Q: f(x) = (sin x – 1) cos x on 2'2.

A: I am attaching image so that you understand each and every step.

Q: Choose the rule that you would use to most efficiently find the derivative of the function. f(x) =…

A: Given f(x) = 8√x^3

Q: Consider the following. u = (-9, -6, 4), v = (6, -7, 0) %3D (a) Find the projection of u onto v. (b)…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: This question can be solved using the concept of equation of line passing through two given points.

Q: Determine whether the given series converges or diverges. 4n – 8n 5" n = 1 converges O diverges If…

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Q: 2) Find the first derivative of y = sec1(2e3*)

A: To find the first derivative of the given function.

Q: 5x(V1 + x-) dx

A: This question can be solved using the concept of integration by substitution.

Q: If 0 = then sin(8) = cos(e) %3D Give exact values. No decimals allowed! Submit Question

A: Given θ=2π3We can convert given raidans to degree. So, 2π3=2*1803=120°120=180-60We know that…

Q: Determine if the given sequence converges or diverges. If it converges, what is its limit? 5+ 3n3…

A: As you have asked for the solution of questions a -c only. So I am solving those only. Thank you.…

Q: S(a – x)°dx

A: We need to integrate given function.

Q: 2- 4 The graph of f is shown in the figure above. If , f(x)dx- 2.3 and F'(x) f (x), then F(3)-F(0)=

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Here, the required plane is perpendicular to the vector n=-2i+8k.

Q: In R?, using vectors and angle between vectors, verify that the points P (13, –1 Q(-9,3) and R (-3,…

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Q: Eliminate the constant 'a' from the equation (x – a)2 + y? = a² O (x? - 2y)dx + 2xydy = 0 O (x2 -…

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Q: he curve. + sin(tt)j

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Q: Consider the following function. 1 f(x) : X. Find its average rate of change over the interval [4,…

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Q: Give the curve r = 3 cos 0 a) Find the points on the given curve r = 3 cos 0 where the tangent line…

A: Explanation of the answer is as follows

Q: Question For the function f(x) given below, evaluate lim f(x) and lim f(x). f(x) = 5 sin (4x³) If…

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Q: DERIVATIVE OF TRIGONOMETRIC AND INVERSE TRIGONOMETRIC FUNCTIONS. Find dy/dx, 1. y = sin (x? + 3x +…

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Q: If the function / is continuous for all real numbers and if f(x)= ² when x*-2, x+2 then f(-2) = O…

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Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: an=nqen limn→∞an=limn→∞nqen = 0 [when x tends to infinite ax&gt;xa (where a is positive constant)]…

Q: a) | f(x)dx = b) | f(x)dx = c) 5f(x)dx =

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Q: 3) Given f(x) =-2x -2x-2, find the absolute maximum value over the interval [0,6].

A: We have to slove the above question and find absolutely maximum value

Q: Find an equation of the line which is tangent to the circle r +y - dr + by – 12 = 0 at the point (5,…

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Q: Find the following. = (3, 5) U = %3D (a) ||u|| (b) ||v|| (c) ||u + v||

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Q: 4) Owners of a boat rental company that charges customers between $85 and $375 per day have…

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Q: ||F(t) × r"(})| ||r(t)||° Use the formula k(t) = to find k(t). r(t) = 11 cos(t)i+11 sin(t)j + 6tk

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Q: Find f (x) if f'(x) = and f(1) = 25. O f(x)= 16x + 25 O f(x) = 16x +1 O f(x) = 16xl +9 O f(x) = 16x…

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Q: 2. If f(x)=sqrt(x), which of the following is the simplified form of the difference quotient? *

A: Function f(x)=x

Q: 0/ifit was FCかy)2165(6w)30 2 -36 y? cos (6XY) .3 =36 Y'cos (6X4) -36 y'cos (6xY) 2. = 36 y'cos (6XY)

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