The following expression is a partial fraction decomposition. 4 3 1 x²1*(x-1)²+x+1 Use a common denominator to combine the terms into one fraction.

Q: (7) Determine which sequence converges. Justify (2) Σ n4 2n

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: h the graph of the derivative of the given function. 0 -4 -4 у 4 у 4 4 у X 4 X -4 у 4 У 4

A: Given query is to find the graph of the derivative.

Q: The function f(x,y,z) = 4x - 5y + 4z has an absolute maximum value and absolute minimum value…

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Q: 8) y || 3 solves y' = x²

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

Q: lim x→1 √2x+7+√x+3-5 x-1

A: The given limit limx→12x+7+x+3-5x-1. We have to find the given limit.

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A: Here we have to solve the trigonometric equation.

Q: The position of an object (in metres) is given by the function s(t) = 4x² − 3x + 7. Use a table to…

A: The position of an object (in metres) is given by the function s(t) = 4t^2-3t+7. Use a table to find…

Q: It was discovered that after t years a certain population of wild animals will increase at a rate of…

A: Given :   for Increase during the first 7 years after the rate was discovered, we integrate the rate…

Q: Graph y=2+ sin 0. First choose the appropriate starting graph from the ones below. Then transform it…

A: NOTE: Refresh your page if you can't see any equations. . the given function is

Q: F) Kayla invests $8,754 in a retirement account with a fixed annual interest rate of 7% compounded…

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Q: The marginal revenue from the sale of x bottles of perfume is given by 9.2 - 0.52√x dollars per…

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Q: 7. lim sin(x) csc(5x) HIT

A: Given query is to find the limit.

Q: Write an example of each of the following (assuming it is in 3-dimensional space). A point…

A: let a point on 3D is (x,y,z)(1) on y-axis, x and z is zero

Q: The pressure P and volume V of an expanding gas are related by the formula PVb = C, where b and C…

A: First part     Second part

Q: pls show all steps and correct answer, and if possible pls do it handwritten that way i understand…

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Q: Assume that z = f(x, y) is a continuous function over the region R. Assume a = 2. a R r=a a x…

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Q: £{t sinh(4t)}

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Q: The following set of ordered pairs is a function and is one-to-one. {(0, 0), (1, 1), (2, 8), (3,…

A: To determine whether the given set of ordered pairs is a function or not.

Q: Prove that f(x) = follows: 22³1 converges at zo = 2 and lim,-2 2³ 1= 15 as (i) For each prescribed…

A: follows: (1) For each prescribed challenge e, find a  δ that: |x-2|&lt; δ=&gt;(2x^3   -1)-15] &lt;e.…

Q: Determine if the function f(x) 1. c = -1, 1 2 3 2 4. c = -1 2. c = satisfies the hypotheses of the…

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Q: Select the best term or phrase. (a) f'(x) is positive, if f (x) is ---Select--- (b) If f (x) has a…

A: a.  f'(x) is positive, if f (x) is increasing.

Q: In a circular city of radius 4 kilometers (centered at (0,0)), the population density is given by…

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Q: Find fax, fay and fry for the function f(x, y) = (1+x+y)e¯xy Select one: a. None of these b. fxx –…

A: Consider the given function : f(x,y)=(1+x+y)e-xy

Q: charge

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Q: Can Rolle's Theorem can be applied to x³ - 4x² + 3x x-1 f(x) on the interval [0, 3]? 1. No because…

A: Given query is to find rolle's theorem can be applied or not

Q: The domain and range of the square root function below is: Domain: [1, 0o) and Range: (-00,-1]. K о…

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Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform (7₁ lo, t≥ 5 L{f(t)} = f(t) L{f(t)} = =…

A: The given data is: ft=7, 0≤t&lt;50, t≥5  Find Lft

Q: iven f(x)=-x²+6x²-9x+4 Find the locations of all local maxima and minima using the second derivative…

A: Given f(x)=-x^3+6x^2-9x+4

Q: The regular price of a pair of jeans is x dollars. Let f(x) = x-20, where frepresents the price of…

A: given  f(x)=x-20, f represent price of jeans discounted by $20g(x)=0.7x, represent price discoumted…

Q: Find a positive number a such that the sum of 4x and is as small as possible. X = Does this problem…

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Q: A particle moves according to the law of motion 2 4 t 4² where t is measured in seconds and s in…

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Q: rite the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer…

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Q: A tank, shaped like a cone has height 7 meters and base radius 3 meters long. It is placed so that…

A: Given : h = 3 m let thickness = dh by using concept of similar triangles 3r=7hr=3h7   A=πr2=π(3h7)2…

Q: Consider the function f(x)= x3 7x² + 2 List the a values of inflection points of the function f. If…

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Q: Suppose that the manufacturer of a gas clothes dryer has found that when the unit price is p…

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Q: List the domain and the range of the provided graph of a square root function. -3 -2 0 3

A: To list the domain and the range of the provided graph of a square root function.

Q: For the system of three planes: -4x + 3y + 2z = 2; 4x - 3y - 2z = 2; and 2x + y - 4z = -16; a) Are…

A: Given For the system of three planes:  -4x + 3y + 2z = 2;  4x - 3y - 2z = 2; and  2x + y - 4z = -16;

Q: Find an equation of the tangent line to the curve 2(x² + y²)² = 25(x² - y²) a lemniscate) at the…

A: Given query is to find the equation of the tangent.

Q: = = (*) (4) ¹9) 3x 5x-4x

A: Given that fxy=3x-y2x+y and gxy=3x5x-4y. We have to find the matrix A for f∘g.

Q: As the concentration of reactants increase, the rate of the reaction generally decreases. cannot be…

A: We have to find the effect of rate of reaction.

Q: Find the absolute minimum value of f of the interval [0, 4] when f(x) = 1+6x-x².

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Q: The average value of f(x, y) = (3x + 4y)³ on the region R = {(x, y) |0 ≤ x ≤ 2,0 ≤ y ≤ 2} is: 4000

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Q: Suppose that f(x) and g(x) are given by the power series and CO = By multiplying power series, find…

A: f(x)=5+5x+2x2+2x3+.......g(x)=4+2x+5x2+4x3h(x)=f(x).g(x)

Q: (a) Determine which of the following statements are correct. Select all that apply. sin (1) = 0 O…

A: according to bartleby policy we do only first part (a)  (i)  we know sin(0)=0sin(π2)=1

Q: Calculate the limit. n lim no 11n + 20 (Give an exact answer. Use symbolic notation and fractions…

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Q: 3. y sinx + 2x²³ COSX 5. f(x) = 5sinx + cosx

A: (3)  y=sinx+2x-3cosxd dx(sinx)=cosxd dx(cosx)=-sinxd dx(ab)=bdadx-adbdxb2

Q: L{2t² cos(t)}

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Q: How is domain of the function f(x) = cos a restricted so that its inverse function exists? Drag a…

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Q: A tank initially contains 100 gal of brine in which 40 lb of salt are dissolved. A brine containing…

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Q: 51. S In x dx

A: (51). The given integral is:∫ln4x dx