Find the Taylor series centered at x 3 for the given function. f (x) = In(x+ 2)

Q: Solve the equation (x - xy + y )dx - xydy = 0. %3D O (y - x) el:) O (y - x) = cel)

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Q: 6. For each of the following series determine if the series converges or diverges using the…

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Q: (b) Find the distance from D to the plane containing A, B, and C. NOTE: Enter the ezact answer.…

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Q: sint In(cos t)dt

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Q: Consider the function f(x) = 2x - 9x – 60x + 10 on the interval [- 4, 9]. Find the average or mean…

A: Use the formula for the average value and concept of mean value theoram.

Q: 4. S ( 12 x³ + 15 x - 20 ) dx 5. S 10 x2/5 dx 6. § 3 ³V x8 dx 7. S ( 8 + 2 dx x3 x4. 8. S ( 2x³ -…

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Q: Test the series for convergence or diverg-

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Q: Continuity: a. Determine the points of discontinuity and classify them. b. Give the domain and range…

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Q: れお! /0 fi23)=4 4 (か) 2,十 F) Eanals it Ofiles)= 12 D Not if tha above

A: Given: Fx,y = x3y2 To find: Fx2,3 We know that Fxx,y is differentiation of Fx,y with respect to x ,…

Q: 2. For each of the following, state whether the equation is ordinary or partial, linear or…

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Q: The other type of question in chapter 7 is solving trigonometric equation. We will not be practicing…

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Q: 1.(a) Do there exist integers a, b, c such that gcd(a, b) = 30, gcd(b, c) = 24, gcd(a, c) = 54?…

A: Solving

Q: Find the arc length of the parametric curve. x = e', y = e, z = v2t; 0<t< 5

A: This question can be solved using the concept of length of arc of curve in parametric form.

Q: Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8); fi-) U =

A: we can solve this as follows:

Q: S se ex dx

A: LetI=∫sec3(x)dxI=∫sec2(x)sec(x)dxApply integraion by…

Q: Prove that you Can use the integral teSt on the Series which is the Sum to infinity of the terms a…

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Q: List the first 5 terms of the sequence. 1 22 3n 3n3 32 3n n2 3n (b) -2)n+1 + 3" (a) an =

A: For (a), Given: Now, an=13n3+223n3+323n3+...+n63n3   =13n31+22+32+...+n2   =n+1n+22n+363n3…

Q: Sketch the graph of the given polar equations. 57 17. 0 = 6.

A: We have given a polar equation,                    (θ)= 5π/6 Now, we have to draw it's graph.

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: A vector v with given magnitude in the direction of u is given by v.uu.

Q: Bones from the skeleton of a fish have lost 30 percent of their carbon-14. Note that for carbon-14,…

A: Formula  Given  k = 0.000124 It lost 30 percent of carbon  The left is 70 percent

Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = - 1. x =…

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Q: 1. Determine the absolute extrema of f(z) = (sin a – 1) cos z on -. 2 if they exist, and identify…

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Q: dB Bln's

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Q: a) Find the fifth term of the sequence

A: Part a,Given,           The sequence is 169,3115,4621,6127,.....To find : Find the fifth term of the…

Q: Find the length of the arc from 0 = 0 to 0 = 2n for the cardioid r = f (0) = 2 – 2 cos 0.

A: Solution if r=fθ  has a continuous first derivativefor α≤θ≤β then length of polar…

Q: nd the component form and magnitude of the vector v with the given initial and terminal points. Then…

A: We can solve this as follows:

Q: Find an equation of the plane through (0, -9, – 1) that is perpendicular to the line x - 2 = 3t, y +…

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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: (b) Determine the by using the Chain rule with the following information: z = cos (x"y^) – sin (z +…

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Q: Find the curl of the vector field F = (4x sin(y), 7y cos(x)). curl F - Dretieur

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Q: I = -2+3s z + 4 1. Consider the lines defined by the equations l : x – 2 = y – 1= and l2 : y = -1+ s…

A: Given:  l1= x-2 = y-1 = -z+42=tl2= x+23 = y+1 = z-2-4=s

Q: Tor each of the following series determine if the series conv or series convergence or divergence.…

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Q: Determine the value of a, given that the line ax+y+1 = 0 is tangent to the graph of y= ax-6x+1 at x…

A: Given  y=ax2-6x+1find derivativey'=ddx(ax2-6x+1)y'=2ax-6+0y'=2ax-6at x = 1y'=2a(1)-6y'=2a-6

Q: 4. Solve the initial value problem 8+ 3y = sine 0 > 0, y(n) = -5. %3! de

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Q: Determine whether or not the function is homogeneous. If it is homogeneous, state the degree…

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Q: Determine whether the following series converges or diverges. Σ 5n2 +5 n=1

A: We can solve the given problem as follows:

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: Find T(t) and N(t) at the given point. r(t) = = 8 cos(t)i + 8 sin(t)j; t 3 T 3 N(5) = 3

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Q: dx xV2ax – x2 ах

A: This is a problem of integration. Based on the general formula we will solve the question.

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

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Q: Solve for what is asking (show complete solution). Your final answer must be in POLAR FORM. 3. Find…

A: Polar form

Q: Basic Derivatives: Find the derivative = (1 + vx* kx° V 8. f(x)=- 7x – 4x? x +2x y° – 5y³ + 2y 6.…

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Q: Describe the graph of the equation. r = (8 - 3t) i - 14t j O It is a line in 2-space that goes…

A: Let's find.

Q: f (x) = x²In x + sec x; find f"(x)

A: Given ,f(x)=x2ln(x)+sec(x)DIferentiate…

Q: 4. For each of the following, state whether the equation is ordinary or partial, linear or…

A: here derivative of first order so order 1 here power of x is 2 so non-linear and ordinary equation…

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). %3D v= (0, 6) %3D b =

A: Explanation of the answer is as follows

Q: Find the directional derivative of f at P in the direction of a. f(r, y, 2) = xy + z²; P(0,3,1); a =…

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Q: y= V x

A: Here is the solution

Q: Fill in the missing values to make the equations true. (a) log, 4 - log, 5 = log, %3D (b) log,+…

A: logarithm expressions are given,. we have to find the missing values

Q: given magnitude and the same direction as u. Magnitude ||v||-5 Direction u- (-4, 6, 4) Submit Answer

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