2(-1)"-1 n²+4 n – 1 | n=1 n²+ 3

Q: Express the vector 4u + 5w in the form v = v,i+v½j+V3k if u = (3, - 2, 5) and w = (- 4, 5, – 4). 4u…

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Q: 10. Determine whether the given dx convergent or convergent? a. converges to o Page. b. diverges to…

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Q: 6. If z2 = x2y2 (where x, y, and z are positive), and dz then what is when x = 2 and y = 3, given…

A: Given problem:- If z2 = x2 y2 (where x, y, and z are positive), and dz/dt then what is when x = 2…

Q: How did he get the second derivative step by step and a clear line please 3 -X- Fex) = I+e sinu x…

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Q: Use an appropriate substitution to integrate 12 x*(x++ 1)°dx

A: The given integral is 12x3(x4+1)9.

Q: dy for the function e²* = /2 sin (x + y)at the point 0, dx 6. Find 4

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Q: Determine the linear approximation of f(x) = x* at x = 1. а. у %3D 4x - 3 O b. y=- 4 x - 3 О с. у-…

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Q: Using binomial expansion, write down the first three terms of the expression below, starting with…

A: binomial expansion, write down the first three terms of the expression below, starting with the…

Q: V. 90) Preview 5 = 5. v. lim g(x) = Preview H-1 vi. lim g(x) = Preview I-1" vii. lim g(x) = Preview…

A: As per our guidelines we can help you in solving only first three subparts.Rest of the problems you…

Q: O Use the Comparison Test to determine whether the series is convergent or In-1 n=2 divergent. Show…

A: ∑n=2∞1n-1

Q: Let i denote the square root of-1. For the two complex numbers =3e and w= 6e find 2, w. Grve your…

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Q: Find the center and the radius of the sphe- x2 +y? +z? + 6x – 4z = 0

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Q: 0 1 - 18 -6. A = Find the eigenvectors of the given matrix: [B] i

A: We have to find the eugen vectors.

Q: e or sin 1 2 and tan 2 cos .2

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Q: Please do help me with this calculus questions. Please. I need the correct letter of the answer and…

A: The given curves are; y2=x and x-4=0 Now find the point of intersection between the curve and line.…

Q: 3 12х (a) 2 x2-1)2 dx 2 (x2-1)2

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Q: 5+5 =64x-1

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Q: Find the Laplace transform of the following periodic function? 0 <t < t TT <t < 2n cos t 1- f(t) = {…

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Q: Calculate the value of (1 + 2i)² and then use this value to find the roots of z – z + (1 – i) = 0.…

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Q: Express the circle specified by x = 2 cos(0) y = 1 +2 sin(0) in Cartesian coordinates and find the…

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Q: Consider the function f(x) = x2+1 (a) Find the intercepts of the graph of f (if any). (b) Find the…

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Q: 3) solve: y'-Hef't 44=HC032t; y0)=2, qla)== using Laplace treensform |

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Q: Question 2! 3: 1: Explain why the following series a) I (-1)" 1+ n3/2 n=1 is Alternating. b) -…

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Q: Find the critical points, relative extrema, and saddle points of the function. (If an answer does…

A: f(x,y)=x2+y2+6x-2y+6

Q: Convert the equation to polar form. (Use variables r and 0 as needed.) x = y

A: Given :x=y

Q: Use this definition with right endpoints to find an expression for the area under the graph of f as…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +8 1 lim tto 5t2 + 6' 8t

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Q: 1 (tan x + cot х) sec x %D 1/cosx 1/sinx 1

A: Given query is to find the correct option for the expression.

Q: dx x² + 9 1 х3 + 9х — 27 tan-1 1 x3 + C + 9x + 27 tạn + c\ Option 1 Option 2 — х3 — 9х + 27 tan 1 +…

A: We know that the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1 And ∫1x2+1dx=tan-1x+C   The given integral is:…

Q: find the derivative of y=4x^2+4x+1

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Q: Use the figure to find the exact values of sin(2u), cos(2u), and tan(2u). sin(2u) cos(2u) tan(2u) II…

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Q: For the function x-3 f(x) = 2x +5 etermine coordinates of the y-intercept of the inverse function…

A: We can find the coordinate of y-intercept inverse function as below.

Q: - %3D

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Q: 13 Fimel thenadiuy.of.commergene afthe serves Σ 2m+2)(2mq4)

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Q: Q2. Do as required: (40 Marks) 1. Evaluate: f(x) = S, di at a = 1 2. Find the Taylor series of f…

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Q: Uncover the function's average value. Given: f(x) = 7x + 9y; R is a triangle with vertices (0, 0),…

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Q: Question 4 Investments and Loans 4) fou have an opportunity to invest $10000 for 5 vears. The…

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Q: how did you find the root zeros

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Q: 7² + sin(3) – Ve Vr2 – x-2 - 'ind the derivative of:

A: Given query is to find the derivative of the expression.

Q: d³y of y = (3x*-5)(2x³+9x-6) Determine the %3D dx3 7x5

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Q: 1) Š(-1)"- n² 2" n=1 a) Show that the series is convergent.

A: We have to show that the series is convergent.

Q: Solve the differential equation below using series methods. y'' – 4xy' – y = 0, y(0) = 4, y'(0) = 2…

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: We need to find minima, maxima, points of inflection.

Q: Solve x /k – x²dy= (a²y°x + y/k² – x²) dx -

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Q: The series 7 n3+ 9 n=1 6 n+ 1 is divergent. Select one: O True O False

A: Given query is to find that statement is true or false.

Q: Which Riemann sum represents the illustration shown?

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Q: Calculate the value of (1+2i)² and then use this value to find the roots of z-z+ (1 – i)= 0. (1+…

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Q: Hiw:-boundary Value problems- Q/solve xy-ý=o yco)+ ylo)= 1

A: We have to solve the differential equation.

Q: 5. y = cot cot (sinx) 6. y = 5 sec sec (2x) + 20

A: We can solve question no 5 and 6 using chain rule as below.