Find the area of the shaded region. ¡y = x² + 1 ... 5 y = x 2 A B D

Q: division

A: We will solve using long division method.

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A: Given :3rd tern of GP is 9common ratio=32

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A: Given query is to find the series converges or diverges.

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Q: The function f(x) = 2x° 39x + 240x – 11 has two critical numbers. The smaller one is x = and the…

A: Topic = Derivative

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A:

Q: In x

A: A detailed solution is given below

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Q: Expand the binomial using the binomial theorem. Show all of your work. (z- 4) °

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Q: 16 Indicate the general rule for the arithmetic sequence with a3 = 8 and a8 = 33. a n = 2 + (n -…

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A: Given: r=12(1-cosθ) r=121+cosθ

Q: 12) find the indefinite inteyral Inv dv 6 v3 Answery a) -L (2invtl /Ac 12 v2 bり- りよemvtiリ+c (2 12v2…

A: The given integral is ln(v)/(6v3).

Q: 15. Find x² (2x³ + 4)5 dx

A:

Q: Find div F and curl F if F(x, y, z) = 17y*z*i – 3x'2ºj – 3ry®k. div F= curl F=

A: Let's find.

Q: Evaluate the line integral, where C is the given space curve. y dx + z dy + x dz, C: x = t, y = t, z…

A:

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co…

A: Given query is to find the series converges or diverges.

Q: Maximum Oil Production It has been estimated that the total production of oil from a certain oil…

A: given : Total oil production T(t) = −1000(t + 11)e−0.1t + 11,000   Production at time t given by

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A: We have to find the value of k(t).

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A:

Q: a. Find the linear approximating polynomial for the following function centered at the given point…

A: Let's find.

Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y = 64 – x2. What…

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Q: dx (2x2+1)2

A:

Q: (-2,0,5) and (–1,2, 3). Find an equation of the sphere whose endpoints of a diameter are

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Q: (H.W) 1- Solve by choose M this time ( 2 x y² + 3 x² ) dx + ( 2 x² y + 4 y³ ) dy = 0 2- Find the…

A: If the differential equation Mdx +Ndy =0  is exact ∂M∂y=∂N∂x , then solution is                 ∫y…

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A: First we shall simplify the expression then integrate

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A: Since the student has posted multiple questions and does not mention any specific question, so we…

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A: Given :drdt=2r=5

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A: We have to find given indefinite integral.

Q: 8. A 25-ft ladder is placed against a building resting on a banana peel. The base of the ladder is…

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Q: Solve the system of differential equations.

A:

Q: Find div F and curl F if F(r, y, z) = xz°i+ 2y°x²j+ 6z²yk div F= 2° + 16 y' x + 12 z Y curl F=

A: Given F(x,y,z)=xz6i+2y8x2j+6z2ykTo find div F & curl F:

Q: Cosx dx Vi+sinx

A: Given :∫cosx1+sinxdx

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A: Solving

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A:

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Q: Use L'Hospital to determine the following limit. Use exact values. In r lim glnz

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Q: 2. fx Arctan xdx

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Q: S cos³ 3x dx

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Q: 12. The demand function for 66 piece Tinkertoy set is D(q) 750 and the supply q+1 function for…

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A: We want to find surface area

Q: short

A: Please refer to the image below

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A: Vector

Q: Consider the system of differential equation x1' = t°x1+ 9 sin(t)x2 x2' = e*x1+ t°x2 Write the…

A:

Q: Find the indefinite integral. (a) / (2* + v#)dx (c) / 2x6 + x5 -dx x4 (4) [(4cs (xỉ + 5x + 4)dx (4…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…