[ sec" x (Vtan' x+ 1) +1) dx 2. 4 sec'x 3

Q: an = In(n+1) – In(n) for n E N determine if the following is convergent or divergent Σ an n=1

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Q: Let f(x)=2x2-12x+8. Function f(x) has one minimum point at.. Diketahui f(x)=2x²-12x+8. Fungsi f(x)…

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Q: Determine if the given improper integral converges or diverges. If it converges, find its value.…

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

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Q: Find all the critical points of f(2z, v) = - . 1 + 4x – xy? and classify them using the second…

A: The given function is;  f(x)=-x3/3 +4x -xy2.

Q: 1. A certain object moves in a region of space defined by the following parametric equation: x(t) =…

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

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Q: S 3x5V1 – 2x³dx

A: Use simple integration formula.

Q: ax²-3 -,x > 1 х-1 Value of a and b that will make f (x) = continuous everywhere are .... (bx + 2,x…

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Q: Consider the following Maclaurin series: (-1)"x²n (2n)! cos x = for all x E R. n=0 1. Let f(x) =…

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Q: f .5 p(t)dt = 24 3 and .5 | p(t)dt = 9.6 vhat does the following integral equal? p(t)dt = 3

A: Us definite integration property

Q: (-1)"-1"

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Q: 2y 7. 3. Evaluate ST (r+y)dx dy. 32 A) 3 64 C) 3 16 B) 32 D) 3

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Q: Could you help me with this? Determine the area between the following functions (do not forget to…

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Q: 4. sin x dx 2.

A: Solving question number 4

Q: 1 S. xV x¯ – 4

A: => i have provided this answer with full description in step-2.

Q: Using homogenous differential equation determine the particular solution of

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Q: 2. Evaluatef dx. A. x+ C В. х C. -x + C : Antidifferentiation D.-x 3. Addition: Subtraction as A.…

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Q: If 42 | f(x)dr = 10 %3D 59 and 42 | 9(z)dr = 30 59 and 42 |. h(x)dx = 32 59 what does the following…

A: Use additive property of integral

Q: A closed rectangular bOX with a volume of 16ft° is made from two kinds of materials. The top and…

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Q: or Integral Using either Comparison Test Test, determine whether the series converge or diverge. 4 +…

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Q: ...................... Consider the following. 4 f(x) = (a) State the domain of the function, all…

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Q: Is the function continuous on the interval (0, T COS x O no O yes O cannot be determined

A: Given problem:- Is the function ex/cosx continuous on the interval [0, π] ?

Q: Use the properties of logarithms to expand the following expression. log Each logarithm should…

A: This question is related to logarithmic properties, we will solve it using given information.

Q: (b) S 3x5V1 – 2x³dx -

A: Given,              ∫3x51-2x3dx

Q: Write each complex number in complex polar notation: 21) - 4.053 +2.042.

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Q: + inf 1 Σ п2 — Зп + 2 n=3 W

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Q: 1 Given the function g(a, b) = suppose m g(a, b) where a²b+b а 3 са b = c3 + 6d am The task is to…

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Q: equation the particula

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Q: Write the integral that would be used to find the area of the region bounded by x = 1, y = vx and y…

A: Given: y=x, y=-x+6, x=1   From the given curves and line the bounded region is as shown below; Now…

Q: x² +64 Using trigonometric substitution, given dx, the simplified form of the integral is= sec ede…

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Q: ax²-3 -,х> 1 x-1 Value of a and b that will make f (x) = continuous everywhere are ... lbx + 2, х <…

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Q: Evaluate

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Q: 1-5 by Partial funtron x-16

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Q: Find the solution of the corresponding inhomogeneous system of equations: z+y+ 2z = 8 z+ 2y + 2z 2z…

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Q: Consider the function f(x, y): 5xy 2x2 + y? (a) State the domain of f(x, y). (b) Find the limit 5xy…

A: f(x, y)=5xy2x2+y2A)Domain f(x, y)The function is defined everywhere.Domain: (x, y) ∈ (R×R)

Q: IV. Determine if the given is convergent or divergent. #3. S sin(2 tan¬1 n – n) Σ (2 tan-1n – 1) n=1

A: Solution is given below:

Q: Use tabular method to evaluate ƒ –2x³e¬5×dx

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Q: The tangent line equation of 2x6+y4=9xy at the point (1, 2) is ... ....E Persamaan garis singung…

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Q: Find the Maclaurin series for the function. f(x) = 3 sin 2x 00 21 (Type an expression using n and x…

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Q: х2 - бх + 9 V6x – x2 хр

A: Given problem:- ∫ (x2 -6x+9)/√(6x-x2) dx

Q: Determine whether the given converges or diverges. n Σ 2n + 1 n=1

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Q: S dy =2/y- 5inlVỹ+ 5| + c Vy +5 A True B) False

A: I am attaching image so that you understand each and every step.

Q: 4. sin x dx

A: As you mentioned problem number 4 solved

Q: In Sx-/25+> 25+ x2 dx , we let x = 5sine. (A True B False

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Q: > (atan (2n – 1) – atan (2n +3)) n=0

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Q: +0 (2х — 1)" n V4n + 1 n=0

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Q: Solve for the following integral: 1 -dx (e2x – 4)5/2

A: I=∫1(e2x-4)52  dxu=-2xdx=-12 duI=-12 ∫due-u-452v=e-u −4dv=-e-u du-dv(v+4)=duI=12∫1v52 (v+4) dv

Q: (-1)" V2n2 + 5 n er series (x + 1)" n=1

A: