Test the series for convergence or divergence. 3 3 3 11 3 3 10 12 13 O convergent O divergent

Q: Express the limit as a definite integral on the given interval. lim n- 00 [4(x;)³ – 4x;"]ax, [(2, 7]…

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Q: x-1 y = log x+1

A: Topic:- derivatives

Q: Using the Nth term test for divergence, V5n-2 n2 n=1 diverges since lim V5n-2 n² is equal to n→∞ 8.

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Q: 22. Sketch the region bounded by f(x) = Vx -1 and g (x)=x-1 AND find the area.

A: Sketch

Q: fintthe XP COS ५: टे. 8 e

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Q: did not answer my question

A: Apologies for the inconvenience.   Required formulas: ddxfg=ddxfg+fddxg  Product…

Q: By writing the summation of the two power series E=3 (n– 2)(n+1)c,x"-3+ En=0 Cnx" = 0, we obtain:…

A: Please see the answer below.

Q: O (z² - 2x) y" + ( + 2) (2 2) y = 0 O (3x? - 4x) y" - (z + 4) H (e |4) y = 0 (22 + 4) y (4r - 4) y =…

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Q: 17. y csc(5x)

A: Differentiation

Q: y) dx +x dy = 0.

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Q: Q1/ Integrate the following functions 1. ſ csc(5x) dx 2. dx 3. ſ cos (x) dx 4. S sin (x) dx 5.…

A: As per our guidelines we are supposed to answer?️ only 3 question. Kindly repost other question as…

Q: 5х + 3, х < 1 f(x) = {x? + 4, 1<x< 2 ( x², x2 2

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Q: 8. (y- 2x)dx - x(1- xy)dy 0 Ans.

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Q: Ge + C2x e* + C3 x*e*

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Q: Match each 0 with its corresponding quadrant location. -5 , cos O is negative 1 tan 0= Quadrant IV…

A: To match each θ with its corresponding quadrant location.1 tan θ=-512, cos θ is negative.2 cos…

Q: What is the solution of D.E y" – 2y' = e*sinx when solved using the method of undetermined…

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Q: Use the properties of the derivative to find the following. r(t) = ti + 5tj + t²k, u(t) = 5ti + tj +…

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Q: Determine whether F(x, y) = 3xi + 7yj is a conservative vector field. find a potential function for…

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Q: (2x2 + x -3) * (x + 1) a = [21-3]; b = [1 1]; find conv (a, b)

A: Given :2x2+x-3*x+1

Q: One set of cylindrical coordinates of the point with the rectangular coordinates (2, 2, 4) is:…

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Q: 2x+5 Зх +1 5) lim 2х+5

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Q: Mathematics

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Q: 3. T The point 2, 3 is given in spherical 4 coordinates. Its rectangular coordinates are: 3 /6 2 2 2…

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Q: The technique used to prove that x4 x3 - 5x + 5V5 tan¬1 3 x² + 5 dx + C - - is Long (Euclidean)…

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Q: The position of a point at time t = 1 is (2, 4) and velocity of the point at time t is . Wha the…

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Q: Find the area of the region bounded by the given curves. Show the computed areas of sections using a…

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Q: In(n+24)158 In(103+12 n)200 The sequence is and its limit is

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: 4.) f(x) = etinlx)+cos (x)

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Q: Use the accompanying graph of y = f(x). Does lim f(x) exist? If it does, what is it? x-4 (6, 2) (10,…

A: We need to find limit.

Q: Find the general solution of the given ODE x +1 y': y* +1 x? + r- - y? = x +4x + k Option 1 O Option…

A: integration

Q: The volume of the solid region, in the first octant, that lies below below the surface, z = above…

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Q: (-1) -1 Given the alternating series E Which one of the following gives n1 5+3n b? n+1 Select one:…

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Q: Using the method of undetermined coefficients, a particular solution of the differential equation…

A: We have to find particular solution .

Q: Solve the equation (2xy - tan y)dx + (x^2 - x (sec y)^2))dy = 0

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Q: The following series 08 2n Σ (-1)" 4n 3n+1 n=1 17 37 converges to converges to 20 the above O the…

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Q: Waat is the degree of the following differential equation? dx dy + x²y dt? d"z = xyz dt? 3 2 O 1

A: The given problem is solved below in detail.

Q: The first English dictionary, prepared in 1604 by Robert Cawdrey, defined 3,000 English words. In…

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Q: Show that the function f defined by (r, y) = (0,0) f(x, y) = { 22 + y (r, y) # (0,0) x + y

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Q: A ladder 42 feet in length rests against a vertical wall of 36 feet in height. What is the measure…

A: Given query is to find the angle of elevation.

Q: 25 Type the correct answer in each box. 37 The vector \ / Is reflected across the line Y = 1 and…

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Q: Find the work done by the force field F(x, y, z) = xyi+ yzj+xzk or a particle that moves along the…

A: Given: Fx,y,z=xyi+yzj+xzkr(t)=ti+t2j+t3k

Q: Graph the function. Use the graph to find the indicated limit, if it exists. x3 x20 lim f(x), f(x) =…

A: Let's find.

Q: 16X

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The solution of the Ordinary Differential Equation 4y" - y' - 3y = 0 if y(0) O and y'(0) %3| 7 - is:…

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Q: Consider the following. u = 3i + 4j, v = -7i - j (a) Find u · v. -25 u v = 5- V 50 (b) Find the…

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Q: Find the limit algebraically. lim 1 x--4 Select the correct choice below and, if necessary, fill in…

A: The solution is given below

Q: An isotope of the element erbium has a half-life of approximately 13 hours. Initially there are 24…

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: Explanation of the answer is as follows

Q: Find the smallest distance from the point (0, c, 0) to the surface y = x² + z².

A: To find the smallest distance from the given point to the surface.