2- cusx dx COSX Sinx +2 Sinx t5

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

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

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Q: 4 xp£

A: We have to find the integral.

Q: Convert dzdydx Into an integral of cylindrical coordinates 45 hardzdrde Option 1 Option 2 Option 3…

A: To convert the given integral into cylindrical coordinates.

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: Evaluate the following sum of iterated double integrals: -2у 2 •4–2y dr dy + | dx dy 0.

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Q: + inf 1 Σ п2 — Зп + 2 n=3 W

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Q: 3. 6x° cos (x*) dx

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Q: Using Lagrange multipliers, find three positive numbers whose sum is 6 and such that the sum of…

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

A: We have to find 3rd degree polynomial for the given function.

Q: I. Evaluate the following integrals. •ln 2 #3. e2" sec-(e")dx

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

A: Given that an =ln(n+1) - ln(n) We have to find whether the sequence ann=1∞  is convergent or not. A…

Q: 9.) S(5t + 2t2 - 5t - 50)dt

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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

A: This question can be solved using the concept of alternating series test.

Q: 3). 5 dx =

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Q: 3/2 5. Find the exact area of the surface obtained by rotating the curve x =- Show All Work and Give…

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Q: (-1)" (2n+1)! Given: sin x = En=0 x2n+1 for x e R 100 What is the exact value of the sum 2n=0…

A: The series given is: sin x=∑n=0∞(-1)nx2n+1(2n+1)!, x∈ℝ...(1) To find the exact value of the series…

Q: Evaluate the integral. (Use C for the constant of integration.) cos a da sin a

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Q: sin x Let g(x) = . 1 Find the derivative a'(x). dt . 2 1+t3 cos? x 1+ sin x sin x 1+ cos³x cos X 1+…

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

A: The given integral,       ∫cos x1-sinxdx

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: +00 (4-х)^/п+5 4. Consider the power series 9n-7n n=1 а. Use Limit Comparison Test to show that the…

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Q: + inf 1 п2 — Зп + 2n n=3

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Q: Determine whether the following series is convergent or divergent. Vn3 n=1

A: Given problem:-

Q: 2 f(x) ; а3D0, Ь%3D1 1+ x %3D

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Q: y = (cos COS T 4x5

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Q: Q2) Solve the D.E xdy + (2y – x* + 3x)dx = 0

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Q: I. Evaluate the following integrals. cln 2 #3. sec-(e")dx

A: integration using integration by parts method if it is helpful appreciate me.

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

A: By using the 3rd Degree Maclaurin  polynomial for gx=x cosx2 to approximate the value of 0.2 cos0.1.

Q: x3 + 4x2 - 2 dx Ix? (x² + 2x + 2)

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Q: dx Evaluate the integral Jo (x² + 1)²

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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: Find Duf at P. 1 1 f (x, y) = 5(4+ xy)3/2; P(3,4); i+ j и %3 V2 NOTE: Enter the exact answer. Duf =

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Q: Evaluate the integral cos x 1- sin z dx .

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Let's find.

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: 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: 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: x° – x + 2x –2 dx 3 ?6 -2х + 2) X

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Q: Determine if the two given converges or diverges. { п n 2n + - 1/ n=1 Σ n n \2n + 1 n=1

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Q: at is the area enclosed by the curve r = 2 cos 36? wer is in square units. Use two (2) decimal…

A: To find the aera.

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

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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: Find the general solution of the given system. 12 -13 X' = 13 -12 X(t) =

A: We have to find general solution.

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 dx * and then simplify whenever possible. dx2 1) y = 3t5 – 2t x = 4t3 2) y = t-3 – 7 ,x = t? –…

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Q: Q3) Evaluate triple integral * dz dx dy. リェーy

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Q: ine whether the following series 3- Vn

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Q: Determine whether the following series is conve rgent or divergent. (1.) 37 (use Integral Test.)…

A: Let's find.