Classify the series as absolutely convergent, conditionally convergent, or divergent. (-1)k+1 k7/6 k=1 The series is >

Q: n (a) Express lim as a definite integral. i=1

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Q: Consider the following function. fx) = (x* + 4x°) %3D Find f'(x).

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Q: 1. Find the domain of the following functions: х - 3х -10 a. y = х-5 x+ 5 b. y = - Vx- 5

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

Q: dx The integral du where u= f(x) and for some constant, k. Compute f(2). reduces to ex + 1 A е -1 e ...

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Q: 4. A ladder 10 meters long is leaning against the wall ofa building The base of the ladder is slidin...

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Q: Find dy when x=3 and dx = 0.2. y=x-5x³ +3x² + 2x-7

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Q: Use sigma notation to write the Taylor series about x = 4 for the function. 1 x +1 k =

A: This question is based on Taylor series Sigma notation.

Q: Given the matrix -8 7 Introduce the "-R" term to the diagonal of the matrix then find the quadratic ...

A: Given problem:-

Q: Q2) A) Graph the curve Y = x (x +5)(x -3) between the value of x [-5, 3], then find the area of the ...

A: Topic:- integration

Q: 4. f(x) = e-x³/2 %3D

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Q: folve the given differential equation by finding Factor. appropriate integraing an Gxy dx t (ay +ax3...

A: Let's find. 

Q: 9y+14 dy 3. Jy-2)(y²++4) (y-2)(y²+4)

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Q: A. Let a(x) = x + 2 and d(x) = vx+5, find: 1. (d a)(x) 2. (d a)(2)

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Q: 10 (x. What is the appropriate formula? Given: @ 3 fa"du 2 B) Sa" du © Sa"du D

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Q: raluate the integral / V4x4 – 12r2 +7 xdx. A - (4x* – 12r? +7)½ + c 24 B - {(2r²– 3) /4x+– 12x²+7 – ...

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Q: 3. A particle is moving with the given data. Find the position of the particle. a(1) = 3 cos/-2sint,...

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Q: Solve the given differential equation by separation of variables. dy ху + бу — х — 6 - - dx ху — 5у ...

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Q: Determine whether the alternating series converges. 7ln k k k=3 O The series converges. O The series...

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Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper frac...

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Q: B) Find the third derivative of the function: Y = + VX3 %3D

A: We have to find third derivative

Q: Evaluate the following integral: J Sec?x -dx V1-tan2X

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Q: # m Find Ay and f'(x)Ax. 2. For y f(x)=. x = -1.6, and Ax = 0.1 at x = -16 and Ax = 0.1 (Do not roun...

A: We will find the values of each. 

Q: Given the following system of differential equations dx = 4x + Oy – 9z dt dy = Or dt Тy + 31z dz = -...

A: When -R term introduce to the diagnonal entries.

Q: Solve the given initial-value problem. The DE is a Bernoulli equation. y1/2 dy + y3/2 = 1, y(0) = 16...

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Q: Find the domain of the vector-valued function. r(1) =In(1– 1)i+v4-1j O (-1,4] O 14,-1] O 1,4) O (1,4...

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Q: Consider the differencial equation given by: 1にY01/sa) de a) This equation have Three equillibrium p...

A: (a)To find the equilibrium point. (b) Classify each equilibrium point as asymptotically stable or un...

Q: dx 4.. V4x-x²

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: please do both

A: We have to find out the reason

Q: Question 3 Find the length of the curve with the given vector equation. r(t) = (8 - 21) i+ (4 + 6t) ...

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Q: 11. If f(x) = x² + x + 1 and g(x) = x – 3, find the following. (a) f+g (b) f – g (c) fog (d) gof (e)...

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Q: 1 dx x² – 1 C3 5. . J2

A: Since we are given with the multiple number of question and our guideline is solve first question on...

Q: Consider the following differential equation. (25 - y?)y' = x2 x2 Let f(x, y) Find the derivative of...

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Q: A Norman window is a rectangle with a semicircle on top. Suppose that the perimeter of a particular ...

A: Please see the below picture for detailed solution. 

Q: Given the matrix 0 -5 11 6 Introduce the "- R" term to the diagonal of the matrix. -5 - R (A 11 - R ...

A: Given query is to add -R in diagonal of matrix.

Q: 9)6

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Q: Verify that f has an inverse function. Then use the function f and the given real number a to find (...

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Q: Given the following trigonometric values, find the angles ? within the interval 0 ≤ ? ≤ 2? that sati...

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Q: B) Find for the following function: X + tan(xy) = 0 dx

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Q: Question Given the following table of values, find h'(-1) if h(x) = (x4 +p(x))°. %3D 1 0 -1 2 p(x) 1...

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Q: Problem 2: Group 1: Representation and Quantity to be Maximied/Minimized

A: We will find the area. 

Q: 5. f(x) = In Vr² + 4

A: Given:- f(x) =√(x2+4)  To find:- (a) the critical numbers of f (b) all relative extrema of f (c) the...

Q: QS) A) Graph the curve Y-- 2x (x - 4)(x + 6)(x - 2) between the value of x (0, 4). then find the are...

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Q: Given the matrix 1 2 - 1 Find the Characteristic Equation and find its solutions (aka: eigenvalues)....

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Q: find the nth Maclaurian polynomial for the function f(x)=(5x-3)/(x+1), n=4

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Q: The derivative of f(g(x)) equals f'(x) evaluated at multiplied by g'ʻ(x) evaluated at g(x) g'(x) f(x...

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Q: Use Ayf'(x)Ax to find a decimal approximation of the radical expression. V18 What is the value found...

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Q: Find the equation of the tangent line to the graph of f(x)f(x) at the (x,y)(x,y)-coordinate indicate...

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Q: 6 - x 12. Solve the rational inequality x < 2x -5

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Q: (x-1)+3(x-1) +5dx

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Q: 2022x dx x2 + 6x + 18

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