Determine whether the series converges, and if so find its sum. If the series diverges, indicate that using the checkbox. NOTE: Enter the exact answer as improper fraction if necessary. 00 1 81k2 + 63k – 8 The series diverges.

Q: dx (Be* a arcsin + C 4e-2x-25 ß Find : α + β +δ

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Q: Question 1 Consider the function (x²y² – y³ x² + y2 0, if (x, y) # (0,0) f(x, y) = if (x, y) = (0,0)...

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Q: Evaluate the following improper integrals to determine if they converge or diverge. integral converg...

A: Note: As per our company guidelines we are supposed to answer the three sub-parts of the question. K...

Q: x?dx ax ax + Barctan () + C x2 + 49 Find: a + B + 8

A: Use formula for integration of 1/(x^2+(a^2))

Q: Solve the differential equatons (9xy-2y2) dx - ( 6x²_xy) dy =0 4.

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Q: J(1+ sin x) °cos x de A x+ sin x + (sin x)4 +C (1+ sin x)*+C B C sin x + ( sin x)4 -+C D 1+ sin x)*+...

A: Given that,

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 3. y = V(4x + 3)³

A: Differentiation 

Q: 3 -11 ) If D = A? - 3A + 41, find a matrix D where A = -2 1 4 and I is identity -3 matrix of order (...

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Q: y- 2x = 3y - 2 %3D Oz= 3yIny +1+Cy Oz= 3lny +1+ Cy Oz = 3y Iny +1+C Oz= 3y Iny + Cy

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Q: Write the first five terms of the sequence: {Vn² +n = n} +oo Determine whether the sequence converge...

A: Given sequence n2+n-n

Q: 59. Suppose that functions f and g and their derivatives with respect to x have the following values...

A: Since you have posted multiple questions i can do first question with first three subparts as per ou...

Q: 20. Evaluate f(2.x – 3)(x² + 1)dx a. 4x* + 3x - x2 - 3x +C b. 4 x* - x + x² - 3x +C c. 34 x* + x - x...

A: We know that ∫xn dx = xn+1n+1+C        n≠-1  where C is constant of integration.

Q: V Solve using method of undetermined coefficents (D3+ GD°+ 12D + 8)y =o when x=0, y=1, y's-2, y"-2

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Q: sinx cos x-1 Use the trigonometric limits lim 1 and/or lim = 0 to evaluate the following limit. x-0 ...

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Q: Question Use the quotient rule to evaluate h' (a) for the given function h(x) and a. 7x h(x) = a = 2...

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Q: 7. Determine the measure of an edge of cube whose total surface area is 150in.

A: the total surface area of a cube=6a2

Q: SOLVE THE DIFF EQ (x²+xy²-x³)dx + (x²y-v®)dy = 0

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Q: Evaluate the following limits: (a) limx→0 4x/sin 5x (b) limx→π sin( π/2)/5x (c) limx→0 sin3^3x/x^2ta...

A: a) limx→04xsin(5x)=45 b) limx→πsinπ25x =sinπ2limx→π15x                    = 015π limx→πsinπ25x = 0 c...

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: WHich of the following represents the shell height if the shell method will be used to find the volu...

A: For Understanding of the shell method (Revolution about the x-axis):

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

A:

Q: The population of Amoeba Proteus is known to grow at a rate proportional to the amount present in a ...

A: Given problem:- The population of Amoeba Proteus is known to grow at a rate proportional to the amou...

Q: If the infinite curve y = eSX, x > 0, is rotated about the x-axis, find the area of the resulting su...

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Q: Consider the following sequence: {a,} n=1 An+1 to show that the given sequence {an}is strictly incre...

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Q: A steady wind blows a kite due west. The kite's height above ground from horizontal position x = 0 t...

A: We want to find the distance travelled by the kite. 

Q: 4. If x - xy + y = 1, find y' 3x2 a.): b.) 1-3y? c.) x-3y2 d.) +3y?

A: Using chain rule of differentiation

Q: Write the first five terms of the sequence: +oo S7 ln n] n J n=1 Determine whether the sequence conv...

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Q: 3. y'-5y =xe* –xe"

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = x – 3x? + 4x – 12 2...

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Q: Find the differential equation of the family of plane curves described. Draw at least three members ...

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Q: Consider the function 3..2 f(x, y) = cos(rxy) – a°y?. = cos(Txy) – x°y°. a) Find the equation of the...

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Q: Question 1 If T is a linear transformation such that T(1, 0, 0) = 2, T(0, 1, 0) = 3, and T(0, 0, 1) ...

A: A detailed solution given below.

Q: Solve the diff eq (ху?+x-2у+3)dx +(x?у — 2х - 2у)dy %3D0

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Q: 6. The area of a rhombus is 143 m?. If the longer diagonal is 26m finc the shorter diagonal in inche...

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Q: 9. DETAILS SCALCET8 8.2.027. If the region R = {(x, y) | x 2 1, 0 s y s 1/x} is rotated about the x-...

A: Given :f(x)=1x=y ∀x∈[1,∞)To find volume of the given region :V=π∫aby2dx  

Q: [12 31 1 2 and B = ] 1) If JA| = |B1, find the value of k where A =0 %3D 13 [2 1

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Q: Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is C(x) =...

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Q: Eliminate the arbitrary constants y = Ce-3*sin2x + Cze¬3*cos2x

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Q: xdv S- le2cos(sin-w)

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Q: y= fx) y-g(x) Use the graphs of f and g in the accompanying figure to find the limits that exist. If...

A: A) limx→2 [f(x) + g(x)]=limx→2 f(x) +limx→2 g(x)=1 + 0(f(x) is not defined at x=2 but ,limit is 1 at...

Q: Find the Maclaurin series for the function f(x) = ln(3 + 4x)

A: Maclaurin series of function fx is a Taylor series of function fx at: a=0       fx=f0+f'01!x+f''02!x...

Q: dx A D +C 3 B.

A: The given integral,        ∫e4x+1e2xdx

Q: 1. Calculate for one real root of tan x = 4x with xo 1.2 %3D up to six decimal places using the Newt...

A: Ques : tanx=4x f(x) = tan(x)-4x f'(x) = sec2(x)-4 x0 = 1.2 By Newton Raphson method xn+1 ...

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its ...

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Q: Jack buys calculators for $6.00 each, envelopes for $.50 each and pens for $1.50 each. He spends a t...

A: Jack buys calculators for $6.00 each, envelopes for $.50 each and pens for $1.50 each. He spends a t...

Q: Evaluate the following limits by constructing a table of values

A: To evaluate limx→alimx→f(x), we need to completing a table of functional values. We choose two sets ...

Q: The general solution of the DE: In-2y dx – y-le-3*dy=0 A None of the given choices B e – 3ln³y=c C) ...

A: Given: ln-2ydx-y-1e-3xdy=0 We know that; The Power rule: ∫xndx=xn+1n+1+C; n≠-1 And ∫eax+bdx=eax+ba+C...

Q: Find an equation of a line containing the point (1, 7, -3) and parallel to the yz- plane.

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Q: Vil 12 sin (x) cos' (x)dx by using walli's formula. 27. a is equal to? A.1 B.O C.1/10 D.pi/2 The def...

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Q: III. GRAPH ANALYSIS: The graph of f is shown below. Use it to answer A, B, and C -7 f -$ -4 -B O 1 2...

A: Graph of the function is given, we have to find the following limits.