Find Vlak| for the series. k k k + 12 k=0 (Express numbers in exact form. Use symbolic notation and fractions where needed.)

Q: -5 -4 -3 -2 3 4 3 -4+ 18x For the above rational function f( x) = identify its three inflection poin...

A: It can be solved using differentiation.

Q: sinx sinx +x Cosx - e +e The integral dx may be written as me nsinx + px + qe +C, where m, n, p, q, ...

A: Given that a integration first we solve this integration and then we compare to given equations and ...

Q: 1. Consider the curve of the function f (x) = 2x² a. Find an expression for the slope of the curve a...

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Q: 7) An open-top box is constructed from a piece of cardboard 50 cm × 40 cm by cutting congruent squar...

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Q: The 26th term of a Fibonacci sequence is 121393 and the 27th term is 1916418. What is the 24th term?

A: F0=0, F1=1Fn = Fn-1 + Fn-2,  n≥2 F26 =121393F27 =1916418F27 =F27-1 + F27-2F27 =F26 + F25F25 =F27 -F2...

Q: Give a recursive definition for each of the following. (You don't need to prove your definitions are...

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Q: mydx = nxdy Ans. x" = cy"

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Q: The integral is equal to 2e + C. Select one O True O False

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Q: b -x" + -xP +C. What a d heral antiderivative of (3x2 - 4) 2x2 can be written as m m

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Q: fa) - 6x + 5X-! (- o, A).(A,B)(B,C) and (C,) where Important inte A and C are the critical numbers T...

A: Let's find. 

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the eract answers using the provide...

A: (a) The vector v→=9i→-12j→ as v=(9,-12). Let a vector in opposite direction of v=(9,-12) be u→. Fin...

Q: I. Solve the following: 1. Given: y 2x - Find: a.) dy/dx b.)y" 2. Given: 16y – 9x = 144, find y"

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Q: dx - = In[F(x)]+C• What is f(/3) if C = 0? For (x+x³) (x Tan-!x+1) 3 6. V3 +

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Q: sinx sinx +x cosx - e +e The integral / dx may be written as me"sinx + px + qe* + C. where m, n, p, ...

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Q: Find the area bounded by the curve y²=4x, the lines x=1 and x=4.

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Q: 6. . Suppose that Y,,Y,..Y, form a random sample from a distribution for which the p.d.f. is as foll...

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Q: Joey plánted a tree in his yard. At the time of planting the tree was three years old and measured 0...

A: Given data:

Q: 12y – r > -36 ²+4y² < 36 (a) Sketch the graph of the given system of inequalities and shade the solu...

A: Given: 12y-x2≥-36x2+4y2&lt;36 To Find:  a To sketch the graph of the given system of inequalities an...

Q: (1) ydx + (x + 3y²)dy = 0

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as th...

Q: 3. Determine whether each of the following series is convergent or divergent using the appropriate t...

A: To check the convergence of the given series.

Q: Sx-² csc³ () cot () dx A) csc* (?) + c B) – ; csc° (*) + c c)금 csc* (2) + C D) – csc* () + c - 12 E)...

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Q: Consider the function fix) - sin x. Complete the table below and sketch its graph. 011/6 11/2 Sn/6 7...

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Q: Carbon decays exponentially. How many grams of the carbon will be left in 139 years, if 123 grams we...

A: Initial amount P0=123 grams time t=96 years Amount left after 96 years =P=66 grams Exponential decay...

Q: If sec 4θ = csc(θ+20), then θ is equal to?

A: topic - trigonometric identities

Q: What is the integrable form of sin-cos-sin0 de 2 2 du 2 1– u² du cosu du -2 sinu du

A: To write the integrable form.

Q: What is partial fraction decomposition

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Q: 10. x= cost; y = sin't

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Q: J, sin a sin? cos" ,dx COS 2 2 2.

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Q: dx

A: Given problem:-

Q: Bernoulli Equation (17) y'+ () y = x³y³ (18) y' + 3x²y = 4x²y² (19) (x²yª – 1)dx + x³y³dy = 0 (20) x...

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Q: -2 dx 1 x-1

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Q: F (x. y) =- 3x2+3y2-18y+15 4- /2x+4y+4 a) Find domain b) Draw sign Diagram

A: Given Functionfx,y=3x2+3y2-18y+154-2x+4y+4We will find the domain and Draw sign diagram

Q: dr = b(cos Odr +r sin Ode) Ans. r = c(1-bcos 0)

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Q: Question 9 Cosx -dx, sintx Evaluate the Integral A +C 3sin³x +C sin³x В +C 3sinx -+C sin³x D B.

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Q: 2. Evaluate lim -4x+1 X-1 x-1

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Q: Let f (x) = ax- 5/12 + 4x2. Find the value of a if f' (1) = 26. %3D

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Q: If Fx) is an antiderivative of x2 +x1, then what is the value of F(1) - F(-1)? 3

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Q: sias The integral cost -e de may be written as me' +px+ ge" +C• where m, n, p, q. r, and C are const...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: Here we have to find the unit vectors.

Q: dy (16) 2xy = x² + 2y² dx

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Q: 1. The asymptotes of hyperbola H have equations l1 : 3r-4y+11 =0 and (2 : 3r + 4y-5 = 0. Let C be th...

A: A)l1 : 3x-4y+11=0l2 : 3x+4y-5=04y-11 = 5-4y8y =16y = 23x-4y+11=03x=4(2)-113x=-3x=-1The point of inte...

Q: uestion 13 d +=x² +C. n P a b ze general antiderivative of (3x²-4)²x² can be written as m hat is the...

A: We are asked to find the antiderivative of the general.

Q: 2. Let by = cos and cn = cos for all n e N such that n > 2. Determine whether the given n – 1 series...

A: Using Telescoping series. 

Q: c). Classify the equation below with all the possible characteristics and properties of a differenti...

A: General form of Linear differential equation of first order and first degree is given by dydx+yP(x)=...

Q: Which of the following is an improper integral?

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Q: xcos³x² The S dx is 1-sin x? sin?x² + C {c}sin x² +sin²x² + C {D}sin x? –sin²x² + C { A} sin x² 2 4 ...

A: This question can be solved using integration by substitution.

Q: Solve simultaneous equation dx/dt=x+y , dy/dt=4x+y , t=0 , x=2 , y=5

A: First I have written the differential equation into operator form and then reduce it into linear dif...

Q: 6. How do you know if a system has a unique solution? (A) The associated, reduced augmented matrix h...

A: To determine the form of reduced augmented matrix when the system has a unique solution.

Q: -3 dx /2 х-1

A: The given integral,        ∫23dxx-1

Q: When a particular amount of money P, called the principal, is invested at the interest rate r and is...

A: Given interest is compounded annually, therefore n=1