Determine whether the seauence converges or diverges.If it conveges, find the loon 100 l00 + 100 キュ

Q: Problem 3. Use the method of Lagrange multipliers to find the indicated еxtremum. You may assuтe the...

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Q: 12 ("In xdx 5 a) Find the smallest K such that | f4) (x)| <K for 5 <x< 12. b) Use the part (a) answe...

A: Let's find. 

Q: SITY Activity 3: Determine the equations of both tangent and normal to the curve: 1. y = 3x? – x + 1...

A: Question: Determine the equation of both tangent and normal to the curve. 1.y =3x²-x+1=0 at x =1 2.y...

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (– 1)k+1 Σ 5k ...

A: Please refer to the image below

Q: Use the double integral to find the volume of the tetrahedron bounded by the planes x + y + z = 3, x...

A: x + y+ z =3 z = 3 - x - y   The base of the tetrahedron (X-Y plane)is bounded by, x=3y, x + y = 3, x...

Q: -0.5x 69. f(x) = e05x + 4e 05x

A: This is a problem of curve sketching. Please find the graph of function below. 

Q: Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given...

A: v

Q: Problem 2. А топорoly maпufactures two дoods, X аnd Ү, with demand functions т 3 12 — р^, у — 18 — р...

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Q: What is equation of this graph

A: Equation of straight line : y = mx + b From the graph : y = x(t) and x = t Now, Equation Of straight...

Q: Write the standard form of the quadratic function whose graph is a parabola with the given vertex an...

A: This question is based on parabolic equation.

Q: 22* – 8* - lim x → 0 sinx o In(176.00) O In(2.75) O In(14.00)

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Q: dt (b) z = x?y where x = st and y = t2 – s2 dz 2st?(t? – s?)? – 4s³t²(t? – s²) as answer: az 2s²t(t?...

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Q: 5. 12 y²-9dy

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Q: Evaluate the integral. Show all your work. -1 tan (5x)dx

A: Our Aim is to evaluate the integral given below:-∫tan-1 (5x) dx -(i)

Q: Solve the given initial value problen. dy dr 4r'y+y 2 + 3xy y(3) = - 1 Ory-y = 26 Ory +xy = 24 Or+y ...

A: Let's find. 

Q: Solve the given differential equati1on. All solutions should be found. dy 25 – 2y dx NOTE: Use c for...

A: The given differential equation is; dy/dx=(x5-2y)/x2.

Q: A pair of dice is rolled. let X be the sum of the number of dots onthe top faces. The table below sh...

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Q: Question 12 Evaluate: J(7x3 + 4x²2)dx 7x4 4x2 +C 2 A 4 (B) None of the given choices 7x4. 4x3 + C 3 ...

A: The given integral,        ∫7x3+4x2dx

Q: O which of the following is not a limit function of fu G)= for xe [o,) a) I if osx SI c) I ולא d) o ...

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Q: Evaluate. Show all your work- | sin(5.x) cos(8x)dx

A: In this question we have to solve the Integration.

Q: 14. For the function f (x) = 10 - 5x find the average rate of change from x = a to x = a + h %3D

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Q: B Find each limit in Problems 37-60. Note that L'Hôpital 's rule does not apply to every problem, an...

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Q: х4 + х3 + x? — х+1 x(x² + 1)²

A: To find out the partial fraction decomposition of the function given.

Q: Use the table to the right to find the given derivative. 2 3 4 f(x) f'(x) 3 1 4 2 d xf(x)] 2 3 4 dx ...

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Q: 4k+2 7ペ-1 k=1

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Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

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Q: consider the polynomial equation P(x)=x^5 + 3x^4-25x^3-79x^2+100=0 1) Use Rational Zeros Theorem to...

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Q: If y = x – 1, find the length of the graph of f from point x = 0 to x = 1. 3

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Q: Determine whether the alternating series converges. k + 1 E(- 1)*+1. 10k + 1 k=1 O The series conver...

A: Find your answer below 

Q: If z(x, y) = 3x + 4y , x = t² and y = 2t. Determine the value of t where dz = 0 dt answer: 5.

A: Solution:  

Q: dy = ay + b whose dt Write down a differential equation of the form all other solutions diverge from...

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Q: If a parabola defined by f(x)=2−x2 is inscribed under equilateral triangle ABC, so that the parabola...

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Q: 3. Eliminate the arbitrary constants c, and c, from y =c, +C,e* y" - y +x = 0 c. y" - 3y' = 0 a. b. ...

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Q: 12 | In xdx 5 a) Find the smallest K such that | f4) (x)| < K for 5 <x< 12. b) Use the part (a) answ...

A: Let's find. 

Q: b. Which, if any, of the above changes in population can be modeled by a linear function? Show all w...

A: Given:   

Q: Determine whether the series converges. 1 Σ Vk + 6 k=1 O The series converges. O The series diverges...

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Q: In each part, find a formula for the general term of the the sequenc starting with n = 1. 1 1 1 1 1 ...

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for ...

Q: 8 In Problems 31–40, find the intervals on which the graph of f is concave upward, the intervals on ...

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Q: B In Problems 23-62, summarize the pertinent information ob- tained by applying the graphing strateg...

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Q: 4. y" +y = 2xsinx

A: First we will find complimentary function and the perticular function.

Q: the line y = 8. y-0 x=1 x = 4 Step 1 The distance from the center of the rectangle to the axis of re...

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Q: Find the f’’(x) of x3 – 5x + x.

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Q: x-1 6. f(x)= x +3x 4x 7. f(x)=-- x +4 8. f(x)=- x +6x+9 9. f(x)=-- x +1 L0. f(x) = x' + 4x + 4x + 2

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. – 1)k+1 Σ 5k k...

A: Find the limit as k tends to infinity.

Q: Determine whether the series converges; if so, find its sum. Otherwise type N in the blank. 00 1 L K...

A: The given series is sum of 1/[k(k+2)] ,k=1 to infinity.

Q: When you evaluate: ax. The sum of the coefficient of X'' for any constant nis A 16 7 12 7 8. D E Non...

A: Given ∫x3-1xdxExpand:=∫x52-1xdxApply linearity:=∫x5/2dx-∫1xdxWe know that ∫xndx=xn+1n+1=2x7/27-2x

Q: x2+y (c) = 17 |3D x+y2 dy answer: dx 2x(x+y²)-(x²+y) x+y2-2y(x²+y) (d) In(x² + xy + y²) = 1 -(2x+y) ...

A: We have to find dydx of given function  

Q: 4. The equation y = c, e2* cos3x +C, e²% sin 3x is a solution of what particular differential equati...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (– 1)k+1 5k k=...

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Q: f(z+h)-f(x) For f(r) V7z 1 37, findf (z) using the definition f '(z) = lim h30 h "(z) sing this, fin...

A: Given query is to find derivative by definition and equation of tangent.