п(х — 2)" 3" (2n – 1)3* VI. Consider the power series > - n=1 a. Show that the power series converges when x = 5.

Q: Use the 3rd Degree Maclaurin polynomial for g(x) to approximate the value of 0.2 cos(0.1). = x COS…

A: Here, the given function is: g(x)=x cosx2 Now, we know the series of cos x, the series of cos x is:…

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A: ∫1∞ln(arctan(x)1+x2dxSubstiute u=arctan(x)→dudx=11+x2→dx=(x2+1)du=∫ln(u)duIntegrate by parts…

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Q: Let graph (x) as below: -6 Solution of lim f(x)is.... x→0* O -2 O 3 O -3 O 2

A: Consider the graph of f(x)

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Q: let k be a positive real number. Then f(x)= squareroot of k^2-x^2 is continuous on the interval: a)…

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Q: 6. Find the surface area generated by revolving the curve x = 5 cos' t, y = 5 sin' t, 0sts, about…

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

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Q: de Evahuale integ. w) partiar frac. calcu larors no

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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: 7. Find the area of the region that lies inside the curve r = 3cos0 and outside r = 1+ cos0. Show…

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Q: GIVEN THE FOLLOWING POWER SERIES REPRESENTATION BELOW: x4 + 4! Cosx = 1 - + 6! .. 2! (-1)"x2n (2n)!…

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Q: Find y' if 3x2- (xy²) = 2y³ 2 3=

A: Given: 3x2-xy212=2y3   As we know that; The sum/difference rule: f±g'=f'±g' The Power law;…

Q: I. Evaluate the following integrals. 1 1. -d.x J #(9 – In² a)5/2°

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Q: Evaluate the integral - dx · 1- sin x cos X

A: The given integral,       ∫cos x1-sinxdx

Q: There are true statements of f(x) = 5(x4 – 4x³) , except ... Pernyataan yang salah mengenai kurva…

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Q: etermine if the given converges or diverges. Find the value if it converge. | In(x²) dx -1

A: To integrate the given function.

Q: + inf 1 п2 — Зп + 2 n=3

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Q: Find the sum of the given convergent series. > [tan-1(2n – 1) – tan-1(2n + 3)] n=0

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Q: 3- Vn 3 n=1

A: Convergent

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: х, x2, (2 – x, for x 1 Consider f (x) These following statements are true for f (x), except.... 1.…

A: We can solve as follows

Q: What is the volume generated by revolving about the x axis the area bounded by the y = 20 +1, y 0, e…

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Q: e20 -do 1+ 3e20

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Q: +0 (-1)m cos(b) = S-1)" -b2m (2m)! for all be R m=0 Given the integral of J cos² x dx, express it as…

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Q: | #(9 – In² x)5/2 dx I. Evaluate the following integrals. 1 1. -d.x x(9 – In? x)5/2

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Q: A mass on a spring undergoes an external forced vibration given by 6 d'x =-12x +3cos(2at). 32 dr…

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Q: Given that h(x) sin(2x + 1), determine functions f(x) and g(x) such that h(x) = f(g(x))

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Q: Based on figure below, we get some information: Which of the following statements are true? Gambar…

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Q: 1 III. Consider an 1 for n eN = {1, 2, 3, ...}. 2n + 1 2n + 3 Find a general formula for the kth…

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Q: Which integral that cannot be solved by the substitution method? Integral mana yang tidak dapat…

A: Which of the integral is not solved by substitution.

Q: Which formula shows the basic concept of substitution method on integral Manakah yang merupakan…

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Q: y = (cos COS T 4x5

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Q: Which of the following vectors are not linearly independent? 日L O B O A

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Q: 1. Evaluate the following integrals. (a) r* log x dx (1) / . dr

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Q: If m < f(x) <M for a <x s b, where m is the absolute minimum andM is the absolute maximum of f on…

A: We need to find smaller and larger value.

Q: 3. Find the exact length of the curve. Show All Work and Give Answer In Simplest Form. x =1+3t²,…

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Q: If sin theta is (square root of (x^2 - 4)) divide by x, what is sin 2 theta?

A: It can be solved using trignometric formulas.

Q: 4х —Зx2+2х-1 Solution of lim is .... хэ0о 5x3+14x2—7х+2 4x5—3х2+2х-1 Nilai dari lim adalah .... х>0о…

A: The given limit is: limx→∞4x5-3x2+2x-15x3+14x2-7x+2

Q: If xy? + yx2 - 2= 0, then dy/ dx =.... Jika xy2 + yx2 - 2= 0, maka dy/ dx =.... 1. О…

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Q: Find the general solution of 2x². 2² + y? dx Find the general solution of (2x – y) dy 2y – x d.x dy…

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Q: Using the squeeze theorem, find the value of lim,0 x² sin=) O 1 O -1 O does not exist

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Q: d²y Find and dx then simplify whenever possible. dx2 1) y = 3t5 – 2t x = 4t3 2) y = t-3 – 7 x = t2 –…

A: We have to find first and second derivative for the given parametric function.

Q: Show that the lines L1 : x = 4 – t, y = 2t, z = :5+t and L2 : x = 1 + 4t, y = 3 – 8t, z = 5 – 4t are…

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Q: x? dx (x² – 25)5/2

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Q: Q3) Evaluate triple integral S S dz dx dy . x-y

A: ∫02∫0y∫x-yx+y dzdxdy ∫02∫0y [z]x-yx+y dxdy ∫02∫0y(x+y - x +y)dxdy ∫02∫0y 2ydxdy ∫02 (2y)[x]0y dy ∫02…

Q: 0 e1/x dx

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Q: and simplify: y = csch² (x² + 1) da Find dy

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