O Calcalate the integea/ over the giren region by dhangng to polar cocalinater fcx,y) = 14xy/;

Q: Find the area of the surface generated by revolving the curve = V¤ + 3, 4 < y <7

A:

Q: find fue area oy region R enclosed by Curves yexs and y=X= please Show yor working

A:

Q: Find the differential euqation representing the family of cicles of radius unity and center anywhere…

A: The order of the  differential equation of a given relation is the number of arbitrary constants in…

Q: Calculate the derivativVe using impi dw 'w + w +wz + 5yz 0

A:

Q: Find the volumMe generated by revolving the area bounded by the giveN Curve and avd lines y = x', x…

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Q: Find the center of mass of a thin plate of density δ = 3 bounded by the lines x = 0, y = x, and the…

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Q: Find the area of the surface of revolution generated by revolving the curve y = 5/ 0Sa<4, about the…

A: Given that:  y=5x,                        0≤x≤4

Q: Find the ar ea of sur face x - 2y - 2z = 0 that lies above the triangle bounded by the lines x = 2,…

A: Given :          The surface x2 - 2y - 2z = 0 that lies above the triangle bounded by the lines x…

Q: with a 200 mm q

A: answer is in next step

Q: Find the Contour integration to

A: ∫-π-π11+sin2xdx∫aafxdx=0, a≠∞=0

Q: 35. Find the area of the surface generated by revolving the para- metric curve x = 1, y = 21² (0 ≤1…

A: Given parametric curve is , x=t, y=2t2 ( 0≤t≤1 ) So, the required area of the surface generated by…

Q: 1 Evaluate f - dz over the unit circle in counter-clockwise direction using the parametriza- tions

A: To evaluate, ∮1zdz over the unit circle counter-clockwise

Q: Parametrize the osculating circle to y = √x at x = 4.

A: Given that the osculating circle  y = x

Q: The area of the region bounded by the two curves y=z' and y 64 is %3D Square Units

A:

Q: 5 Find the lateral (side) surface area of the cone generated by revolving the line segment y = x,…

A: If the curve y = f(x) , a≤x≤b is rotated about x-axis, then the lateral surface area is given by…

Q: Find a unit normal to the surface x'y + 2xz = 4 at the point (2,-2,3).

A:

Q: Find the area enclosed by the closed curve obtained by joining the ends of the spiral r = 30, 0 < 0…

A: According to the given information, it is required to find the area enclosed by the given curve.

Q: Find the area of the surface generated by revolving the curve y /2x-x, 0.25 sxs1.5, about the…

A: Use surface area formula about x asis

Q: Find the area of the surface generated by revolving the curve y = cos(r), 0<aS5 about the r- axis.

A: The solution is given below in the next step:

Q: Find the moment of inertia with respect to the x-axis of the area bounded by the parabola y2 = 4 and…

A: Solution is given as below:

Q: y' = 2 – 3xy; {-1<x<4, -4 < y s 4}

A: To plot direction field we plot small lines with slope calculated form differential equation after…

Q: A-Estimate J, 2e-3* dx using trapezoidal rule with four subinterval round your answer to one decimal…

A: Given is the integral  ∫-11 2e-3xdx The aim is evaluate the integral using trapezoidal rule.

Q: Use the Trapezium Rule with four strips to estimate the value of: dz. (In z)² Give your answer…

A: Use the formula of the Trapezium Rule to solve the integral. This rule is used to solve the integral…

Q: Find the moment inertia of the solid formed by revolving about ox the area bounded by a2y=x3, the…

A: Solve the problem

Q: Find Surface area after revolving about х-ахis y = Vx, 1 < y < 2

A: Use the formula of surface area of revolution along x-axis.

Q: A thin plate part with a mass density equal to 1 and shape as shown in Figure 2 has an edge curve C…

A:

Q: A body of mass 6 kg moves in a (counterclockwise) circular path of radius 6 meters, making one…

A:

Q: Find the area of the surface generated by revolving the curve about the indicated axis. SET UP ONLY…

A: The area of the surface generated by revolving the curve around the y axis can be given as:…

Q: Find the area of the surface oblalned by rotating tne curve y = V4x x = 0 to x = 3 about the x-axis.…

A: Below is the solution:-

Q: Approximate using the Trapezoidal rule with n = 4 subinte Round to 4 decimal places. sin r dr

A: See the details solution in below

Q: The plane tangent to the surface z+1= ze" cos z at (1,0,0) can be represented by the equation Z= 1.…

A: As per our guidelines, we are allowed to answer only one question. Since you have posted multiple…

Q: Find the lateral (side) surface area of the cone generated by revolving the line segment y = x/2, 0…

A: The given line segment is y=x2 where 0≤x≤4. The line segment is revolved around x-axis, thus it…

Q: Which type of surface does the curvex= cos(3t),y= sin(3t),z=t, lie on?

A:

Q: Find an equation for the tangent plane to the surface x = u² – v², y = u + v, 2 = u² + 4v at (-},2).

A: We have r(u,v) = (u2-v2)i + (u+v)j + (u2+4v)k

Q: s being pumped into a spherical ballo nge of the radius when the radius reac

A:

Q: Find the area of the surface generated by revolving the curve y = - V6 sxs0, about the x-axis. 24'

A:

Q: Suppose that a thin metal plate of area A and constant density doccupies a region R in the xy-plane,…

A: A thin metal plate of area A and constant density δ occupies a region R in the xy-plane.

Q: / Use the method of variation of parameter to find the general lution of y"-y" =t *

A:

Q: The area of the rotational surface resulting from rotating x² + y2 = a² about the x axis is? the arc…

A: Given : x2 + y2 = a2

Q: Find the area of the surface generated by revolving the curve y =,0sx<2, about the x-axis.

A:

Q: The plane tangent to the surface z +1= re" cos z at (1,0,0) can be represented by the equation X + y…

A: Given: z+1=xey cosz

Q: Find the area of the surface generated by revolving the curve about each given axis. x = 4t, y = 7t,…

A: x=4t y=7t

Q: Evaluate the line integral a xds where C is one quarter of a circle (in the first quadrant) of…

A:

Q: Find the area of the surface generated by revolving the curve y = 2√x, 1≤x≤2, about the x-axis.

A:

Q: Find the gardientoff at the indicatedpoint. %3D

A: Given,

Q: Find the area of surface that is generated by revolving the portion of the curve x = /9 – y? , -2 <…

A: We will find out the surface area of revolution.

Q: \ Compute dx using the (a) Trapezoidal rule

A: 6.(a)  Given function is ∫-11e-x2dx Trapezoidal rule ∫abfxdx≈∆x2fx0+2fx1+2fx2+2fx3+........+fxn…

Q: The center of mass of a lamina of total mass 5 has coordinates (2, 1). What are the lamina’s x- and…

A:

Q: Determine the area bounded by the conic sections y = x² – 6² and y = 6² – 2². O 576 O 183 O 281 O…

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Q: Find the area of the surface generated by revolving the curve x = Osys2, about the y-axis

A: Given: The curve is x=y32, 0≤y≤2 about the y-axis The formula for find the area of the surface is…