Demuestra la convergencia o divergencia de las sucesion n! (n-2): Converge a 2 Converge a 0 Converge a 4 Diverge

Q: Determine whether each point lies on the line. x = -1 + t, y = 3t, z = 3 + t (a) (0, 3, 4) O Yes O…

A: The given equation of the line is  x=-1+t, y=3t, z=3+t we have to find whether the given points lies…

Q: What is the solution of the differential equation y" – 8y' + 25y = 36e* -4x -4x y = Cje* cos3x +…

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Q: If a > 0 and E 4, is convergente then Eola)" is also convergente Select one: O True OFalse if a, is…

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Q: 4. Find and classify the critical points of a) f(x) = and b) g(x) = 3x³ – 5a3+ 1 5- 27.

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Q: Write a limit using summations that would equal 3/a dx. n Answer: lim Submit Answer k=1

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Q: 2. By definition, the angle of intersection of the two curves is the angle between the two tangent…

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Q: Solve the equation In(x + 2) = cos - 3) + 2.5 using the Newton-Raphson method with an initial value…

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Q: Write the Taylor series for f(x) = sin(x) at x = Ст — 3 as 3 n=0 Find the first five coefficients.…

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Q: 5. A farmer wishes to fence off a rectangular region next to a straight wall. The side of the…

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Q: 2. Find the first and second derivatives of the following functions a) y = 6) y = e", c) y = In (sin…

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Q: Problem 2: One version of the Fundamental Theorem of Calculus tells us that if F is any…

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Q: A= 4 B=5 30 - 2 Find the 5 Only) following (chease A+ B (2) 3A -B A 2B (inverse) (leng th or…

A: Solving

Q: If the limit of the sequence of partial sums of a series converges, so does the series. OTrue False

A: Given data

Q: Let f be the function graphed below. If 30 subintervals of equal length are used, write a summation…

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Q: Encontrar el enésimo término de las sucesiones 1 2 3 4 4'9'16' 25 3n an 1 1 an (n + 1)! °n =+ (n +…

A: Consider the sequence  14,29,316,425,........

Q: Item 1. Consider the given: x³ – 4x2 8(7x – 4) (x + 2)4 х(х + 8)(х — 2) f(x) = (x + 2)2 . (x + 2)2…

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Q: 4. S V tan x sectx dx

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Q: Given a surface f(x,y) = -3x2 + (4)y2. Find the derivative in the direction of v = at the point (1,…

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Q: Let D be a region bounded by a simple closed path C in the xy-plane. The coordinates of the centroid…

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Q: Evaluate the following limit. (3x²-y") lim (x.y)→(4,-4)

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Q: 5.8 Evaluate n=1 2" -

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Q: Integration by Partial E 8. S 4x3—х dx х2—х-30

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

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Q: Given the power series n=0 n! Find the "Radius of Convergence" for the series. A L = B L = 2 CL=0 3…

A: Radius of convergence 1L=limn→∞an+1an       =limn→∞4n+1(n+1)!4nn!       =limn→∞4n+1(n+1)!×n!4n…

Q: 1) Sketch the curve. b) r=1-3 cos O Show All Your Work!

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Q: dE The rate at which a machine operator's efficiency, E (expressed as a percentage), changes with…

A: dEdt=25-8t(a) dE=(25-8t) dtIntegrate On both sides∫dE =∫(25-8t) dtE =25t -8t22+cE=25t-4t2+cgiven…

Q: For the following function, make a table of slopes of secant lines and make a conjecture about the…

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Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, Р(7,…

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Q: A particle moves in a straight line with velocity 8 – 2t ft/s. Find the total displacement and total…

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Q: We can find the inverse of a matrix by row reduction. Suppose matrix A is given and we wish to find…

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Q: 2x 3, Use the limit definition of derivative to show that f(x) is differentiable at x2 – 3, r > 2 x…

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Q: Find the limit. 300 lim er

A: limx→∞ x300ex

Q: 1. Determine whether the function ƒ(x) = x² + 6x +9 is continuous at x = -2. Sketch its graph…

A: Here, the given function is: f(x)=x2+6x+9 which is a polynomial function. To determine the…

Q: If vector T = (x+ y+1)i+ j– (x +y)k then T.curl(T )is

A: We are given vector T.

Q: Find the gradient of the function at the given point. g(x, y) = 18xe/x, (18, 0) vg(18, 0) =

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Q: Latel I, Vx2 + y² dV,

A: answer is in next step

Q: 240 2 s7 17(s-1)8

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Q: Consider the following vector field. F(x, y, z) = 8xye²i + yze*k (a) Find the curl of the vector…

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Q: 3 ų (Vector Q.2 For the twJo Vectors: A=i-3j-2k B= 31 +5j +7K Find Ahe fallowing O BA Å+2B %3D…

A: Solution of question is written in below steps.

Q: onsider that, we have the following initial value problem: y' = et-y, y(0) = 1, 0<t<1 ; se…

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Q: Given the Power Series E A, (x - *)" n = 0 The radius of convergence ( L) is given by the rec A L =…

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Q: 1 Find the points at which the graph of the equation 4? + y² – 8x + 4y + 4 0 has a vertical or…

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Q: Find the limit of the sequence an 14n+2 or 2+7n indicate that it is divergent. Select one: O…

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Q: Solution: Step 1: The function f(x) needs to be verified continuous at the open interval (-1, 1) by…

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Q: Section 1.5 In Exercises 1 and 2, we refer to a function f, but we do not provide its formula.…

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Q: Consider the following vector field. F(x, y, z) = xy²z²i + x²yz²j + x?y²zk (a) Find the curl of the…

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Q: dy in terms of a da Use the Chain Rule to find y = (u – 2)3 and 1 27 + 1 u%3D

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Q: Evaluate the integral. In 2 ey dx dy

A: Explanation of the answer is as follows

Q: If the average value of a function f(x) is 3 on the interval [0,1] then the average value of f(x) on…

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Q: Given the power series 2 (-1)" x" n = 0 Find the Integral of the Power Series. 00 A 2 (-1)" x" | dx…

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