Evaluateſ dx. Α.x+C В. х С. —х + C D. -x

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A: Given that an>0 for all n and the series ∑n=1∞(1.6)nan is convergent.

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A: De moivre's theorem states that cosθ+isinθn=cosnθ+isinnθ

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Q: Find the absolute maximum and minimum values of f on the set D. {«, m10 sx s 2,0 s ys3} f(x, y) = x2…

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Q: ORegion hamded. by. S=-xrd 33-X=4

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Q: A 1+ 2 + 3 + 4+ + 127 Σ > B, where .. n=1

A: First trace the rth  term then use the summation notation.

Q: 74. Aerobic Exercise A woman keeps fit by bicycling and running every day. On Monday she spends h at…

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Q: 3. tane de ) 71+ n cose)/3

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Q: 2y dx − x dy = 2 dx Solve for  dy dx

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Q: Consider e" S- for all a E R. a. Determine the power series representation of f(x) = xe-5x² for all…

A: We have given the power series of ex  ex=∑n=0∞xnn!  for all x∈ℝ

Q: Determine the inverse Laplace transform of the function below. 17 S +81 Click here to view the table…

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Q: Find the values of a, b, c, and d in the matrix equation below. [:] 10 -5 -8 -1 b. + 2 -8 -10 7 a =…

A: We will find the value of a,b,c and d of the given matrix in the following step.

Q: Consider the following lines 4:z=1,y-1=-4,2=1-3t 4:z=2s+1,y=1-3s,2=1 y+1 z-1 %3D %3D 3a 2a 3 Find…

A: Given:  L1: x=1, y-1=-t, z=1-3tL2: x=2s+1, y=1-3s, z=1 Direction vector of line L1 is 0, -1, -3…

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A: Given:      x225+y216=1

Q: Evaluate the line integral L(a - )da + (1 + y° + æ")dy, where Cis the circle of radius 2 centered at…

A: We have to evaluate the integral.

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Q: Perform the indicated multiplication if possible. (Enter NONE in any unused answer blanks. If the…

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Q: Consider the following. 150 P(t) 1 + 6.655e-0.68t To the nearest whole number, what is the initial…

A: The given population model,     P(t)=1501+6.655e-0.68t

Q: f(e) = Given r2 + 14x + 40 dx 1+ cos2 (x) At what value of t does the local max of f(t) occur? %3D

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Q: 1. Which of the following is a function а. у%3D х2 — 5ху b. х2 — 5х + 4%3D у с. у? 3D х2 d. y? = 3x…

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Q: Given t2 - 25 dt 1+ cos2(t) f(r) 0. At what value of I does the local max of f(x) occur? H.

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Q: 11 E cos(Tk) : k=0

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Q: Use the Integral Test to determinOwheher the scrie sure to show that the hypothescs of the Intogr al…

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Q: 2. Set up the integral to calculate the area between the curves (f(x)-g(x)) dx f(x) = x²+2x+1 8(x) =…

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Q: Find the exact arc length of the curve x ² + 2) from y = Oto y = 5. Enter the exact answer. L =

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Q: Convert from rectangular to polar coordinates. (a) (0, 1) (Give your answer in the form (*,*).…

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Q: In Jx2/25+ x² dx , we let x= 5sine. A True B False

A: Note Since you have asked multiple question As per our policy, we will solve the first question for…

Q: 5. Evaluate a. 3! ×4! 5!

A: According to bartleby guidelines we only provide one solution at a time. Solution 5.  3!×4!/5! We no…

Q: > (-1)" x3n+2 find the exact value of 5-1)"(3n + 2) By differentiating the power series 8n n=0 n=0

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Q: 2. Let {an}, be a sequence of real numbers. Let a2k and a2k+1 be the even and odd terms of this…

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