Answered: Find the surface area generated by…

Find the surface area generated by rotating the semi-circle x = (49 – y² be- tween -7 < y < 7 about the y-axis using S S 2mx\/1+ de dy. Compare it with the surface area of a sphere (4r²).

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...

See similar textbooks

Related questions

Q: x³ +1 Q3: Find the length of y=√x+2,1 ≤ x ≤ 7, Using ds = 1+²dy into the surface area of the object…

A: Find the arc length of y=x+2, 1≤x≤7 using the differential element ds=1+dxdy2dy. For formula for…

Q: 35. Find the area of the surface generated by revolving the para- metric curve x =1, y = 2r² (0 <t s…

A: Given, x=t,y=t2,0≤t≤1 The area of the surface generated by revolving the parametric curve about the…

Q: The area of the surface generated by revolving the curve y = V9 - x,-2 s xS 2 about the x-axis is…

Q: The area of the surface obtained by rotating the curve y = x2, 0 <x< 12 about the y-axis is

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 2 + 4y2,…

A: To find the exact area of the surface obtained by rotating the curve about the x-axis. x=2+4y2 ,…

Q: 3. (8.3) find the area of the surface obtained by rotating the curve y = v4- x2, -1<x < I about the…

Q: Find the point on the surface z = xy + 1 nearest the origin.

Q: Find the area of the surface generated by revolving the given curve about the X - AXIS. Y 8x, 0 < a…

Q: 1. Find by integration the area of the surface of revolution generated by revolving the loop about…

Q: The attached figure shows the surface S1: y + z= 2, limited in the first octant with surface S2: x =…

A: The area of a surface z=f(x,y) bounded by the region R is given by the integral expression:-…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V6 - x,…

Q: Find the surface area for the object obtained by rotating y=7x+2 about the x-axis over the interval…

Q: Find the surface area generated by rotating the semi-circle x = (49 – y² be- dx dy tween -7 <y < 7…

A: Use the formula ddxxn=nxn-1 and differentiate the equation x=49-y2 with respect to y, to obtain…

Q: Find the area of the surface obtained by revolving the graph of y = √x(4x − 3)/6, 1 ≤ x ≤ 9 about…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. + 2)3/2, 3 sy s…

A: Given function is x=13y2+22 and 3≤y≤4 We have to find the exact area of the surface obtained by…

Q: Q4:B/ Find the area of the surface generated by rotating the curve y = e", 0 < x<1, about the…

Q: Find the area of the surface generated by revolving the given curve about the x- axis: y = 19 – x²,…

A: Given,y=9-x2 squaring both the sides,y2=9-x2x2+y2=9x2+y2=32this is the equation of the circle with…

Q: - 2+ 7x + 4y that lies inside the cylinder Find the surface area of the part of the plane z = x² +…

Q: Find the area of the surface generated by revolving the curve, x = /6y – y? ; 2sys 5

A: We’ll answer the first part of this question since due to complexity. Please submit the question…

Q: Find the area of the surface generated when the given curve is revolved about the x-axis. X₁ 1 y=6 1…

Q: Find the area of the surface generated when the given curve is revolved about the x-axis. y = V3x +5…

A: Surface area of the bounded region along x axis

Q: Find the area of the surface generated by revolving the curve x = 4t, y…

A: If x = f(t), y = g(t) then surface area is 1) About x axis: A=2π∫abydxdt2+dydt2dt 2) About y axis:…

Q: nd the area of the surface generated by revolving the curve x= Osys2, about the y-axis. 3

Q: Find the area of the surface that is generated by revolving the portion of the curve y = 2/1-, zE…

A: Use formula of surface area revolved about x axis

Q: y = V8 - x, 2 <x S 8

Q: Find the area of the surface generated when the given curve is revolved about the x-axis. y = V3x +…

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

Q: Find the area of the surface generated by revolving the following curve alongthe x-axis: x = 2t3,y =…

Q: Find the length of the curve y =Vx³, for [0, 4]. Find also the surface area of the region is rotated…

Q: V9, 0< y< 4 Find the area of the surface generated by revolving the curve x = about the у-ахis.

A: We have to find the surface area.

Q: (d) Find the area of the surface generated by revolving the curve y = 2a, 0 < x < 3, about the…

A: Part (D) To find the area of the surface generated by revolving the curve, y=2x,0≤x≤3, about the…

Q: 5. Find the exact area of the surface obtained by rotating the curve y = V16 x2, -2<*<2 about the…

Q: Find the area of the surface generated when the given curve is revolved about the x-axis. y = 3x + 5…

Q: The area of the surface obtained by rotating the curve y = √√x + 1, for 0 ≤ x ≤ 2, about the x-axis,…

A: Given :

Q: Find the area of the surface generated when y² = 12x is revolved about the x- axis from x = 0 to x =…

A: Given curve,y2 = 12xRevolved about x-axis from x=0 to x=3.

Q: Find the area of the surface generated by revolving the curve x = 6t , y = 4t2 for t = 0 to t = 1…

A: Differentiate the equations x=6t and y=4t2 with respect to t, to find dxdt and dydt.…

Q: The area of the surface obtained by rotating the curve y = V4-x², -2 s xs 2 about the x-axis is

Q: Find the area of the surface that is generated by revolving the portion of the curve yx' between x0…

Q: Find the area of the surface obtained by rotating the curve y =÷x/2 – x³/2 for 0 < x < around the…

A: We find dy/dx using power rule

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. v2 + 2)3/2, 4 s…

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: Find the area of the surface generated when the curve y=1/4(e2x + e−2x)is rotated about the x-axis…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 1 x = -(y2 +…

A: Given surface is x=13y2+232, 1≤y≤4, We know, If SA is the surface area of the curve by revolving…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V8 - x, 2 s…

Q: Find the area of the surface resulting from rotating the curve: x=5t−1, y=2t^3, -2≤t≤1, around the…

Q: Find the area of the surface obtained by rotating the curve y2 = 4x + 4 0<x<8 about the x-axis? %3D

Q: The area of the surface generated by revolving the curve y = y9 - x2,-2 < x < 2 about the x-axis is…

Q: The area of the surface obtained by rotating the curve * = 3t, y = 67 – 4t 5 st s 6. about x-axis is…

Q: Q#4 a. Find the area of the surface generated by revolving abuut the x – uxis the portion of the…

Q: The area of the surface obtained by rotating the curve x = y2 - In(Vy), 1sys2 about the x-axis is

A: The given curve is: x=14y2-lny ; 1≤y≤2 Therefore: dxdy=y2-12y

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. < =v² + 2)3/2, 3…

Question

Need the solve asap

Find the surface area generated by rotating the semi-circle x =
(49 – y² be-
tween -7 < y < 7 about the y-axis using S =
= [ 2mx /1+ ( dy. Compare
it with the surface area of a sphere (4Tr2).

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Basics (types, similarity, etc)$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.