Assume that the sequence shown below converges and find its limit. Võ, J8 + V5, 8+ /8+ võ 8+ /8+ /8+ v8 8+ /8 + /8+ /8 ,.. The sequence converges to lim an (Type an exact answer.) II

Q: A region bounded by the following curves is revolved around the y-axis. Use cylindrical shells to fi...

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Q: For each of the following functions, determine: (a.) the critical numbers of f (b.) all relative ext...

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Q: 5) Find the Maclaurin series for each of the following functions and give the interval of convergenc...

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Q: A space shuttle carrying humans and science experiments contains an air ratio similar to (but not th...

A: To find: The volume of oxygen is in the space shuttle. Given information: A space shuttle carrying h...

Q: II. For each of the following functions, find the indicated derivative using the definition. Show so...

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Q: Lograithmic Function Give 3 examples with solution and final answer. Make sure it is unique and not ...

A: To Solve Logarithmic Functions To solve the logarithmic functions, it is important to use exponentia...

Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

A: We will do second derivative test to find minimum area.

Q: Use partial fractions to find the indefinite integral. 9 – x2 dx 5x3 5x + X

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Q: Use the formula for the binomial series: (1 + x)" 1 + mx + m(m-1)2 m(m-1)..(m-k+1), + + ... ... 2! k...

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Q: The derivative of the function 3+ln x is: y = cos(In x)

A: y=3+ln(x)cos(ln(x)Differentiate w.r.t.xApply the Quotient Rule:  fg'=f '·g-g'·fg2dydx=ddx3+lnxcoslnx...

Q: 2r (1- lim

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Q: Max bought a new video game that was on sale for 25% off. If the regular price of the video game was...

A: Topic = Algebra

Q: 1. Which of the following argument is an example of deductive reasoning? *   a. John got a perfect s...

A: As per bartleby guidelines we only give first three question answers. 

Q: Minimise x + y - 2xy subject to the constraint y 1: Answer:

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

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Q: Fill in the table with the correct information by referring to the function f below. The table conta...

A: We will check at each point of interval to determine the continuity or discontinuity.

Q: Investigate the continuity of the function at x=3. S-2x +4 if x23 f(x)x-1 fx<3 At x3

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Q: X+イ

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Q: 2. Form the differential equation from the circle passing through the origin having their centers on...

A: This question is based on forming differential equation by eliminating constant.

Q: sin 0 d0 cos? 0 +5 cos 0 +6

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Q: Power Rule Give 3 examples with solution and final answer. Make sure it is unique and not advanced.

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Q: Which of the following statements is true about the function below? 6z² +8x+2 1-3r if æ # g(x) 4 if ...

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Q: Determine whether the series converges. 1 Σ k + 10 k=1 The series eTextbo converges diverges

A: To determine whether the series converges.∑k=1∞ 1k+10

Q: Practice: Find the volume of the solids generated by rotating the area bounded with the given functi...

A: Question - a Given functions, x=y2x=2-y2 Axis of rotation, y=1 Formulas used: ∫xndx=xn+1n+1

Q: The graph of f(x) is given by (-1,4) (1, 4) (-1,–2) (5, –2) (3,-4) (4, 5) Determine if f is continuo...

A:  Graph of the function is given, we have to find the function is continuous on the given intervals.

Q: QJchange to Polar ( dxdy - Ji-y?

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (-1)k+1 k7/6 k...

A: The given series is: ∑k=1∞(-1)k+1k76 Let, ak=(-1)k+1k76; k≥1

Q: dx 3. S XVx-1

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Q: Evaluate using wallis formula and text/upload your solution on the space provided. 1.) sin'xcos'x dx...

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Q: Y and 2 Y if x dx? 七 and yo

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Q: A group of workers can plant at a rate of  10  acres per day. How many acres can they plant in  5 ...

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Q: Find the indefinite integral. (Use C for the constant of integration. 9. de cos(8) – 1

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Q: 4. Given the function f(r) = 3 - 6.r+2, discuss its relative maximum and minimum points, the interva...

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Q: Find y' for X= cos( sinx)

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Q: 1 S- -dx xx

A: As per Bartley guidelines we are supposed to answer only one question per post. This post contains m...

Q: sec ec-'(2y cos r) = x"

A: This is a problem of derivative of the given function. By using general formula of derivation we wil...

Q: Use the formula for the binomial series: m(m-1)2 + 2! m(m-1).(m-k+1),k + .. (1 + x)" = 1+ mx + ... k...

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Q: Given f''(x)=−25sin(5x) and f'(0)=−5 and f(0)=1.   Find f(π/4)

A: topic - integration 

Q: Given: C = 10 24° В a = 12 Find the following item (nearest whole number and degree). ZA = 102° 78° ...

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Q: Using the figure shown, find sece (3,- 4) 5/4 5/3 -5/4 -5/3

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Q: 00 In x dx x4

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Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) xp ...

A: The given integral is x/(x4+10x2+26).

Q: The derivative of the function y = cos(x ln 3)log3 (sin x) is:

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Q: x2-7 2. S dx х3-12х+16 9y+14 3. S (y-2)(y²+4) ay 4. S х3-х2+1 dx (x2+2х+2)2

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Q: Identify the problem whether a Permutation or Combination. Write the given of the problem and solve ...

A: Permutations and combinations

Q: 7. 4. A firm's marginal cost and revenue functions are given by MC- 12e + 16a + 20 MR = 100 -29 a. R...

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Q: x" – 2x' + x = et x(0) = 1 ; x'(0) = 0

A: solution given below

Q: 8n5 + 3n Let an no +7 (a) Determine if the sequence an is convergent or divergent. O Convergent O Di...

A: Here, an=8n5+3nn5+7

Q: Where:(25 degrees)

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Q: The derivative of the function y = xe(5+sec(2x)) is: y' = [1+ 2x sec(2x) tan(2x)]e(5+see(2x)) y' = [...

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