Fitting a Polynomial to a Sequence Use difference sequences and matrices to determine the polynomial formula for the following sequence. Use n > 0Y 6, 11, 12, – 3, - 46, – 129, ...

Q: Assume that Canada has a population of 34 million. Every year about 300,000 people immigrate to Cana...

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Q: Consider the function f(æ) = x²e3". For this function there are three important intervals: (- 0, A],...

A: The given function is  f(x)= x2e3x  Find critical point and interval of increasing and decreasing. 

Q: 27 1 2n + 1 n=1

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Q: You are to draw two circles, centered at points C and D. Circle C is the smallest circle that is ext...

A: ANSWERS: equidistant from point A and B also equidistant from point A and B of intermediate locatio...

Q: 3. Determine f(x) = x2 + x-2 is continuous on the given interval (-0,+0) (show graph and its table o...

A: Here, the given function is: f(x)=x2+x-2 And the given interval is (-∞,∞).

Q: Find dy/dx by implicit differentiation. 7e^x^2*y = x+y

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Q: Find and Dw fok the following functions e 2-

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Q: Consider the function f(x) = 3x + 4x-1. For this function there are four important open intervals: (...

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Q: Evaluate the following indefinite integral. Use C for any constant of integration. 68x dx J 8x² – 10...

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Q: In +1 dx

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Q: Find the radius of a cylindrical can (with a lid) to contain 1728 cm³ of water, using the minimum am...

A: This is a problem of mensuration. Based on the general formula of volume of cylinder we will calcula...

Q: A farmer has 1,700 feet of fence and wishes to build two identical rectangular enclosures, as in the...

A: Given query is to find the dimensions of the enclosure and the area.

Q: Evaluate the following indefinite integral. Use C for any constant of integration. 9 dx x/x + 1

A: Use the substitution √(x+1)=t, you will get your solution.

Q: 15 A bridge has a parabolic span as shown, w? with equation d = - + 200 800 where d is the depth of ...

A: Given that parabolic spanwith equation d=-ω2800+200Solution:a. if function is even than ω is replace...

Q: 3. The probabilities that a surgeon operates on 3, 4, 5, 6, or 7 patients in any day are 0.15, 0.10,...

A: This is a basic statistics problem

Q: First make a substitution and then use integration by parts to evaluate the integral 7x°e" dx Note: ...

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Q: - 30 + 8x² | + 8a° dx =

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Q: Refer to the graph of y = f(x) to the right to describe the behavior of lim f(x). Use - oo and oo wh...

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Q: Directions: Please write your solution on the space provided and boxed your final answer. *Introduct...

A: We need to show f(x) is continuous and differentiable. 

Q: Evaluate the following definite integral. No decimal entries. Find exact value. 6. 8x + 39 dx x2 + 6...

A: Concept -We have a given definite integral problem

Q: 10.S vx csc(xvx) cot(xvx )dx

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Q: EX g. Evalnab..f.x.d. wha. R.ia. the.regizn.in.the frirg t.. quadrant..bounded..Xy=16. Soluedidy

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Q: ∫x/(1+x4) dx=?

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Q: The length of a rectangle is increasing at a rate of 2 ft/s, and its width is increasing at a rate o...

A: Here we have, The length of a rectangle is increasing at a rate of 2 ft/s, and its width is increasi...

Q: Blood alcohol concentrations of drivers involved in fatal crashes and then given jail sentences are ...

A: Here is the solution

Q: Find the first 5 terms of the following sequences a k for k >0 2k +1 a) Let ak

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Evaluate the triple integral. x dV, where E is bounded by the paraboloid x = 8y2 + 8z2 and the plane...

A: Here, the given solid E is bounded by the parabolid x=8y2+8z2 and plane x=8

Q: For each specified discontinuity, sketch the graph of a possible function f(x) that illustrates the ...

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Q: Directions: Please write your solution on the space provided and boxed your final answer. *Introduct...

A: The given function,  f(x)=x2+2x-3x-1if x≠14if x=1

Q: 3(sin y- cos y) chy cos y

A: First we use (siny - cosy) 2 =sin2 y + cos2 y -2sinycosy Then using u substitution let u =sexy + tan...

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of int...

A: Topic -Integration 

Q: You are familiar with the identity S(b) – f(a) = | f' (x) dx. (a) Assume that f has a continuous sec...

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Q: Using variable separable technique, find the general solution of (4x+xy^2)dx + (y+x^2y)dy = 0

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Q: 4) Let P be the pyramid with height h and square base of length 6. Use integration to find the volum...

A: Solution: The height of pyramid =h The length of square base =b 

Q: 2 x-6 = 1/8

A: Given:   2x-6  =18

Q: 6 1 Determine R(t) if ř'() = (201-4, and R(2) = (3, –5, 0).

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Q: Consider the publicly held debt of $5.0 trillion in 2006. Use the loan payment formula to determine ...

A: This question is based on Annual payment formula.

Q: ах sin bx dx eax (a sin bx – b cos bx) +C. eax - a? + b?

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Q: Find dy/dx 1. y= cos ( -2x -10) 2. y= cos³ -5x

A: We have to find derivative dy/dx.  

Q: Find the the arc length of y = 4x? – 2 from = 0 to x = 2 No decimal entries. Find the exact value. L

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Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact ...

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Q: 1. (2x² - x- y)dx- xdy – 0: y(1) = 0

A: Topic:- differential equations

Q: The production function for a firm is p(x, y) = 96x*y"4, where x and y are the number of units of la...

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Q: dx (4x?- 9) 3½

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Q: (2) Compute the following integrals. /4 (a) sin (4r) cos (4.r) dæ. (b) cos(ka)e-lz dx, Hint: conside...

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Q: How did he get the value inside the circle? (C 579 Sin ($/4)

A: Gamma(z) •Gamma(1-z) =π/sinπz Replacing z by 1/4

Q: Use the Comparison Theorem to de x + 1 36 dx Ji O convergent O divergent 8

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Q: Evaluate the indicated trigonometric function of 0, where 0 is an acute angle determined by an inver...

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Q: Find the following for z = f(x, y) = x? +5x2y3-y. az %3D ax

A: FOLLOW NEXT STEP

Q: 39. For each condition, find unit vectors å and b or explain why no such vectors exist. (a) |a+헤-0 (...

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