check if the series below is convergent or divergent, thanks!

Q: Let an = , п> 1 In(2" + 1) Determine if the series E1 an is convergent or divergent. Explain…

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Q: Graph the sinusoidal function using key points. 41) y = 1 + cos x 2- 1 -2n TC -1- -27 42) y = 4 sin…

A: Let's find.

Q: 3n+1 Σ 6n-1

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Q: V. Let f(x) be a differentiable function such that for all x > 1, f(x) • f(x) > 1, f'(x) (-1)" f(n)…

A: Solution is given below:

Q: 5) A pendulum swings though an angle of 25° each second. If the pendulum is 45 inches how far does…

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Q: 570 8. The demand function of an electronics company’s car stereo is p(x) = . Find the 2x+7 consumer…

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Q: Find the equation of the tangent line  -4x2 + 3y2 = -24 ; (-3,2)

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Q: Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x – y + z = 2…

A: For solving This question I found direction cosine using dot product as two perpendicular plane is…

Q: A particle moves along the x-axis with velocity given by v(t) = 3t2 + 12t – 6 for timet > 0. If the…

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Q: flx)= x-x 3! %3D 5! 7! f'(x) = 1-x %3D 21 41. 6 ! 2. Drove that

A: fx=x-x33!+x55!-x77!+.......f'x=1-x22!+x44!-x66!+........

Q: f(x) = -x^2 + x + 20 and g(x) = x^2 - 5x . Compute the area of the region enclosed  by the graphs of…

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Q: 8x2 – 5 dx (2 — 1)(4г2 + 1) 6х —

A: To sove the following integration by using partial fractions.∫6x-8x2-52x-14x2+1 dx

Q: Find the area A. Round the answer to three decimal places. 15) A 4 7 cm 2.

A: Explained below

Q: Find the derivative of the following functions and simply it whenever possible. y = ln(x+3)4

A: Please see the answer below.

Q: x2 — бх + 9 dx V6x – x2

A: We have to find value of given Integral

Q: Given: a, = In(n + 1) – In(n) for n E N || Determine if the following is convergent or divergent.…

A: Given  an = lnn+1 - lnn for n∈ℕ.

Q: 10n2 + 18 Σ 7η2+ 16η+ 21 n=1

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Q: Given: y (3) - 9: a. Determine the y-intercept algebraically 1. b. State the asymptote c. State the…

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Q: True statement of f(x) = is x² – 1 1. O f(x) increase on the interval (-infinite, 1) 2. O f(x)…

A: We know that,  ddxuv =vu'-uv'v2 Where u'=dudx and  v'=dvdx

Q: Find the gradient of the function at the given point. In(x2 - y) - 2, (2, 3) Z = Vz(2, 3) =

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Q: 1 vn Vn + 1, n=16

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Q: Consider a triangle ABC like the one below. Suppose that B= 113°, a=57, and c=8. (The figure is not…

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Q: A particle moves along the x-axis with velocity given by v(t) = 6t – 6t for time t > 0. If the…

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (5, 2)…

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Q: VII. Let f(x) = %3D 1– 3x 1. Find a power series representation for f(x) for all r € 2. By first…

A: Solution is given below:

Q: Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); i и

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Q: : cos'x dx to Which of the following is one of the correct steps to evaluate obtain the desired…

A: Here, we have given an indefinite integral in which  we have to integrate a trigonometric function.…

Q: Use Newton's method with the specified initial approximation xo to find.x2, the third approximation…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: x2-9 If f(x) = then f (x) discontinuous at x= 3 because..... x-3 x2-9 Jika f(x) = fungsi f (x)…

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Q: mit Comparison Test. a conceptual problem that will help us determine when the limit con e value of…

A: We have to find the following conditions according to the given information

Q: Consider the power series ), Vn² 22n (2.x – 1)" - n² +1 the rodiug ondintorzel of orio

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Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

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Q: To input your angle measures in degrees, use the functions sind (5), cosd (5) and tand (5), instead…

A: This is a problem of a trigonometry. Based on application of trigonometry. Please follow the below…

Q: Archaeologists used pieces of burned wood, or charcoal, found at the site to date prehistoric…

A: Given:    C-14 found 83.5 %

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. tan(x) Vot…

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Q: An evergreen nursery usually sells a certain shrub after 9 years of growth and shaping. The growth…

A: topic - differential equations

Q: 9. x=t² +1, y = 3t² + 2t . d y b) Find dx? Show All Work and Give Answer In Simplest Form.

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Q: What is the area enclosed by the curve r = 2 cos 30? Answer is in square units. Use two (2) decimal…

A: First draw the diagram then find the interval and last intergate it.

Q: Evaluate: y6 sech(e™ny) tanh (e 7Iny)dy (A sech (y") + C -sech2(y7) + C 7 В -uch(7") + C (y?) +C D…

A: Given: I=∫y6seche7lnytanhe7lnydy   As we know from the logarithmic rule: (1). logaxb=b·logax, x≥0…

Q: dx b. (x² + 1)(x² – 2x + 1) -

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Q: Use upper and lower sums to approximate the area of the region using the given number of…

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Q: 3). 5 dx =

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Q: body was foun Within close nouse where Iscovery the core tempe r the body asuremen ved that the core…

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Q: sec (t) – 1 sec2 (t) Simplify to an expression involving a single trig function with no fractions.…

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Q: 17495 17.298 Solve these equations for x and k: k(17.00)*= 0.1120 (Hint: divide one equation by the…

A: k(17)x=0.112 →(1)k(30.6)x=0.2016 →(2)dividing both…

Q: Find the most general antiderivative of the function. antiderivative.) g(u) = 6u + Vū

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Q: Find the antiderivative F of f that satisfies the given condition. Check your answer by comparing…

A: We know that Integration power rule is Integration of xn is xn+1/n+1+C  Here C is integration…

Q: At the hummingbird food factory, hot water containing 1/3 of a pound of sugar per gallon of liquid…

A: answer is in next step

Q: |(x² + 2x) cos(2x) dx

A: