3. Find where the curves intersect, draw a sketch of the region, and compute the volume when the region bounded by y = vx + 2, y = x, and the x-axis is revolved about the line y = -2.

Q: 2x S dx 4e2x –8eª +5

A: Procedure is correct but there are few errors in some of the steps.

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A:

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A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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A: Concept:  rectangular box volume : The volume of a cuboid is the amount of space it takes up in…

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A:

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A: Relative error

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A:

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A: Solution is here

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A:

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A:

Q: V. ASSESSMENT (Time Frame: (Learning Activity Sheets for Enrichment, Remediation, or Assessment to…

A: Given

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A:

Q: By considering different paths of approach, show that the function below has no limit as…

A:

Q: 4. Find the directional derivative of f (x, y, z) = e* cos(yz) the point (1,-2.0) in the direction…

A: I have authority to answer only one question, so  I am posting answer for 1 st question

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A: We have to find the dimensions of the cylinder.

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A: We have to find the second derivative of the given equation.

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A:

Q: 4. Let F = (3y cos(3z) + 4z)i+ (3+ sin(3z))j. Use the Fundamental Theorem of Line Integrals to find…

A:

Q: 3. y = e-x and the x axis is revolved about the y – axis. (Answer: t C. u. )

A: Let's find.

Q: Let B be the sphere x2 + y? + z? = 1. The volume of the portion of B contained in the first octant…

A: Here, the sphere is x2+y2+z2=1 to find the volume formula for the spherical coordinates of it in the…

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A:

Q: by rotating Find the Volume oF the solid obtained bounde d by und X=4 y=o rotating y= 8 on

A:

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A:

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A:

Q: 2x e dx 4е2х —8е" +5 -

A: The integration of the integral is  e2x/(4e2x-8ex+5).

Q: .C find the firet order parhal dervohve f 4.5 1. z) = e 32 W="y - 10y2³ + 432 hCs, t) =° t?In ts) +…

A:

Q: The power series representation of 1 f (x) = 5x +4 is: O 5 25 125 x+... 256 4 16 64 25 125 x++...…

A:

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = - 3 ex cos (yz),…

A:

Q: 24 – 49 dy 2+ 49

A:

Q: 4 y = ,x = 1,x = 4, and y = 0 is revolved about the y – axis. (Answer: 24n c. u.)

A: This question is based on finding volume of solid.

Q: Differentiate the following using implicit differentiation 3/a + V =7

A:

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A: f(x)=x2-x-1if x&lt;13x3-4if x&gt;11if x=1

Q: Joanne sells silk-screened T-shirts at community festivals and craft fairs. Her marginal cost to…

A: answer is in next step

Q: Evaluate the double integral over the given region. |6x sin xy dA, R. 0 SxsA, 0sys1 R. O A. 6x 兀 OB.…

A: We will evaluate the double integral.

Q: The function x2 f(x) = 1 - x has a local maximum when x = 2. Select one:

A: We will check if the given statement is correct.

Q: 9. Jer'y ds, C:x cos t, y sin 1, z = 1, 0<1s/2 %3D 77

A:

Q: 12- z - 28 - z + 20 A . The partial fraction decomposition of f(x) – C ,where A, B,CeZ Let f(z) - (z…

A:

Q: Find the differential dy: y = In(sec² ( 3"-2*+5)). Find the differential dy: y = In(sec? ( 3-2x+5…

A: We have to differentiate given function

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A:

Q: 7x – 2r – 12 For the function f(x) =- x² +6 a) Find the equation of the non-vertical asymptote b)…

A:

Q: On what interval(s) is f'(x) increasing? Decreasing? Explain.

A:

Q: x2 – 2 (x + 2)(x + 1)² 2 + x +1 1. 2 + (x + 1)2 1 x +2 x +2 (x + 1)2 Option 1 Option 2 2 1 1 2 1 1 x…

A: partial fraction

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A: Given

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A: We have to simplify

Q: Question 9 Let y = tan e find the differential dy of the function. O dy = e (r – 1) sec e- da O dy =…

A:

Q: Q3: Find the value of n which F(x, y, z) = (x +y +z*)" to satisfy fxx +fyy+ fz= 0. 1

A:

Q: Evaluate the integral using the appropriate substitution. You must use a substitution for this…

A: Given query is to find the integral.

Q: 4x Find the linearization L(x,y) of the function f(x,y) = e cos (3y) at the points (0,0) and0,

A: Answer is given below

Q: The graphs of the first and second derivatives of a function y the figure, f is decreasing concave…

A: Given query is to find statement is true or false.

Q: = )* - a) Va' + 1) zVx +1 +C b) Va' + 1) - 2V +1 + C Q3: S dx%3D c) V + 1

A: Since you have asked multiple questions in a single request we would be answering only the first…