Find the indefinite integral. (Use C for the constant of integration.) -7 (x² + 7)3/2 dx

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A: We need to find sum of the series.

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A: Given the function is:f(x,y)=4x2 +25y2

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Q: 19. f(x)=x-4, [-3,-1], about x = 4

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Q: (d) Find the boundary of the function's domain. Select the correct choice below and, if necessary,…

A: For the Function :f(x,y) = 4x2 + 25y2(d) Find the boundary of the function's domain. Select the…

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A: To find the limit of the following sequence.

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Q: (a) Find (b) Hence evaluate d -1 dx (2x2+1)³ 1 So 12x (2x² + 1)4 d.x.

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Q: 1- Find the following limits if they exist. If the limit does not exist, distinguish between a limit…

A: To evaluate the following limits.(a) (b) (c) Note: Since the student has posted multiple questions…

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Q: Evaluate the double integral over the given region. 1 SS (x + 1)(x + 1)^ dA, R: 0≤x≤3, 0≤y≤8 R OA.…

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Q: what is the absolute min and max for the following; f(x)=x^2-4x+6 with [1,4)

A: To find the absolute minimum and maximum of the function f(x) = x^2 - 4x + 6 on the interval [1, 4),…

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Q: #389 lim X-3 ts x4 -81 x²-7x+12 ブ explain ↑ explai

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Q: 47. y = -2 48. y = 8 In Exercises 49-56, use the most convenient method (Disk or She Method) to find…

A: By using the most convenient method (Disk or Shell Method) to find the the given volume of…

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A: y= -x2+4xWe have to find area under the graph of y on the interval [0,2]

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Q: 7 x 3 - 20 (a) lim (b) lim F1IX +5² +1 (c) lim F1I8 2+7 3x + 5

A: (a) (b) (c)

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Q: Find the limit. lim (x,y) → - (49-49) 2 2 x+y#49 x+y-49 √x+y-7

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Q: 1. Find the rectangular coordinates of the points whose polar coordinates are given. (a) (6, π/6)…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Evaluate the indicated limits algebraically. Change the form of the function where necessary. Show…

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Q: The sales of a small company were $25,000 in its second year of operation and $55,000 in its fifth…

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Q: Find T, N, and K for the plane curve r(t)=(8cost+ 8t sin t)i + (8sin t-8t cos t)j, t> 0.

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Q: Using the rhombus ABCD, represent the following vector combinations as another vector in the…

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Q: π Find T, N, and k for the plane curve r(t) = -5ti- 5 In (cos t) j, −2 <t< T(t)=)i+)j RIN 2

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Q: 14) z(1+h²) dz 1+z²

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Q: (a) lim FIX 7²+x-100 22 – 5 (b) ²-3x+7 x+102-4 lim (c) lim 81IH 7² +11 4-2

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Q: Let f(x, y) = xex²-y and P = (2,4). (a) Calculate ||Vfp||. (b) Find the rate of change of f in the…

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Q: dw 3 Evaluate at t= for the function dt 2" xy w(x,y,z)= x= sint, y=cost, z=t². Z O A. O B. O C. O D.…

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Q: Rewrite the following integral using substitution: $_1 -dx (5-x)³

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