2 -1 1 2 -2 3.

Q: (-1) Investigar la convergencia o divergencia de la serie E1 n+2

A: answer is in next step

Q: Solve the equation: xydx + (x² + y²)dy = 0 O y²(2x² + y²) = c O 2y(2r² + y²) = c

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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: Convert the point (r, 0) from Polar to Rectangular Coordinates (x, y). 1. (3, 7/6)

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Q: Find the length of arc of the given curve.

A: Given: R→=sin2t, cos2t,2t32, 0≤t≤1

Q: S) Vx + 7 dx

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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: 13. Find the inverse of A= 1 1 Use any method. Show your solution. 0 2 3 55 1J

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Q: Find the point that is 2/5 of the distance from C to D.

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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: What is the area under the graph of y = 2- x on the interval -2, 1]? X 543-2 44 1 2 4 5 O 6 13 15…

A: Find area under the graph

Q: 8) Solve the initial value problem: y' = 5e +9x²- 7x y(0)=9

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Q: ... * * Find the component form and magnitude of the vector v with the given initial and terminal…

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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: Compute the following derivatives. Show in at least THREE steps how the chain rule or the outside-…

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Q: Solve the equation: (x² – xy + y² )dx – xydy = 0. %3D O (v - x) el:) = (v - x) e(G) = c O (v - x) =…

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Q: It is determined that the value of a piece of machinery declines exponentially. A machine that was…

A: A machine that was purchased 5 years ago for $66000 is worth $36000 today.

Q: Sx² cos (x3 + 3) Van (x3• 3) dx + 3) Vsin (x3+ 3) dx 1)

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Q: Find the area of the region enclosed by the rose r= 20 cos 30. NOTE: Enter the exact answer. A %3D

A: Solution is given below:

Q: Solve the given differential equation by separation of variables. dy - ху + 4y — х - 4 xp ху — 5у +…

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

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Q: 1. a. Use the substitution u = e' and partial fraction decomposition to derive the following…

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

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Q: he curve. + sin(tt)j

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Q: Let F = sin (2x + 4z) i – 8ye** k. Calculate div(F) and curl(F). (Express numbers in exact form. Use…

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Q: Verify that the two planes are parallel. -x + 6y + 2z = 7 Ex + 3y +z = 8 Find the normal vector, n,,…

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Q: 33 f(x) = sin 2x + Ve2x + 2x – In e, x # 1 1-x

A: derivative

Q: A. Given: lim f(x)=-9 lim g(x)= 2 2. lim[3h(x)–6] 4. lim[f(x)- g(x)+ h(x}] lim h(x)=4 x→8 x→8 x→8 1.…

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Q: d?y +5xy = 0 dx +(sin x) 2 dy +2 dx dr3 = 1 dx2 O Option 1 O Option 2 d²y +3y dy dy dx? +y = 5x dy…

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Q: The radius of the circle 2x? + 2y? – 4 = 0 is equal to 2 units. O TRUE O FALSE

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Q: (0,0,0) (1,1,1) C2 C.

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Q: Use the Lagrange multipliers to find the maximum and minimum values of f(x, y) = 2x + y - 2z subject…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: Given problem:- Find an equation of the plane with the given characteristics. The plane passes…

Q: Use limits to determine all the linear asymptotes of 3r2 if I1. x² + 2x – 3'

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Q: Find the area of the shaded region. Edit = Vco r = COs 20 r = 2 cos 0 NOTE: Enter the exact answer.…

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Q: Q8)Problem Kong1: Solve for the general solution of the equation: 2x’’+ 200x = 0. Show all math…

A: This is a problem related to second order differential equation. Based on the integration concept we…

Q: ||r'(t) × r"(t)|| ||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 the derivative of the function described. (Rx5) 1E 32 4. f (x) = (1+x² )*²

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Q: 7) Determine the particular solution to the differential equation y 3x-2 that passes through the…

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Q: The hypotenuse of a right triangle is 45 in. The sum of the lengths of the legs is 9 in. Find the…

A: The hypotenuse of a right triangle is 45 in.The sum of the lengths of the legs is 9 in.

Q: - 2 Evaluatelim x- 8x2-7x-8 O 1/9 O 27 O NONE OF THESE 1/12

A: To evaluate: limx→8x3-2x2-7x-8

Q: integrate all of this and show your solution: 1.  ꭍx^(-2)dx 2.  ꭍ√(x^2 ) dx 3.ꭍdx/xlnx

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Q: Find the following. u = (0, 1), v = (5, -3) (a) |u|| (b) ||v|| (c) |u + v|| (d) |u| M (e) U + V (f)…

A: We can solve this as follows:

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: 5) (x3 cos 9x dx

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Q: 2 -x Evaluate lim x-2 x5 - 32 1/-60 O 1/80 O NONE OF THESE -80 O -1/80

A: The given limit,                 limx→22-xx5-32

Q: Question For the function f(x), whose graph is shown below in blue, find lim f(x). The red vertical…

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Q: decimal number o.11 11 Eaual ^ true O evror

A: This is a problem related to decimal points conversion into p/q form. Please follow the procedure…

Q: Find the direction cosines and angles of u and show that cos a + cos B + cos y = 1. (Round your…

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Q: Solve the equation: xydx + (x² + y²)dy = 0 O y?(2x² + y²) = c O 2y(2x² + y²) = c

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