The curve y = sqrt(x2 + 1), 0<=x<=sqrt(2), which is part of the upper branch of the hyperbola y2 - x2 = 1, is re-volved about the x-axis to generate a surface. Find the area of the surface.
Want to see the full answer?
Check out a sample Q&A here
Related Calculus Q&A
Find answers to questions asked by students like you.
Q: Find the area of the surface generated by revolving the curve y=x^3/18, 0(<=)x(<=) 2 square root 2,…
A: Click to see the answer
Q: The area of the surface obtained by rotating the curve y = V9-x2, -1sxs1 about the x-axis is mit…
A: Use formula of surface area about x axis
Q: . Find the area of the surface generated when the curve y = x* 1 + ,on [1,2] is rotated about the…
A: Click to see the answer
Q: Find the area of one side of the “winding wall” standing orthogo-nally on the curve y = x2, 0 <=x…
A: Click to see the answer
Q: Find a parametrization of the osculating circle for the parabola y= X sequar when x=1
A: The given equation of parabola is y = x2.We are asked to find the equation of osculating circle for…
Q: Find the area of the surface of revolution generated by revolving about the x-axis the arc of the…
A: y2=12x ⇒y=23x ⇒dydx=3x ⇒dydx2=3x2 ⇒dydx2=3x ⇒1+dydx2=1+3x ⇒1+dydx2=1+3x
Q: Find the area of the surface generated by revolving the curve y=2/x 18xs2, about the x-axis.
A: Click to see the answer
Q: Find the area of the surface generated when the curve y = √(5x − x2) for 1 ≤ x ≤ 4 is revolved about…
A: Given : Curve y= √(5x − x2) For 1 ≤ x ≤ 4 is revolved about the x-axis.
Q: Find the area of the surface generated by revolving the curve y = √(x2 + 2), 0 ≤x ≤ √2, about the…
A: Click to see the answer
Q: The semi-hyperbola H(X)=(sqrt(x^2-1)) is continous at which x interval?
A: Click to see the answer
Q: Find the area of the surfaces The surface cut from the “nose” of the paraboloid x = 1 - y2 - z2 by…
A: The surface cut from the '' nose '' of the paraboloid x=1-y2-z2 by the yz plane .…
Q: The area of the surface obtained by rotating the curve y = V9-x2, -3 < x < 3 about the x-axis is
A: Click to see the answer
Q: Find the area of the rotating surface that occurs by turning circle x2+y2=4 around line x=2 .
A: Click to see the answer
Q: Find the area of the surface generated by revolving the curve y=−x^3/18, −2√2≤x≤0, about the…
A: Click to see the answer
Q: find the surfase area of ellipsoid obtained by yevoiving the upper-half of the ellipse…
A: Click to see the answer
Q: Find the area of the surface generated by revolving the curve y = sqrt(x2 + 2), 0…
A: find dy/dx and solve for ds.
Q: Find the area of the surface obtained by rotating the curve y2 = 4x + 4 0<x<8 about the x-axis? %3D
A: Click to see the answer
Q: Find the area of the surface. The surface cut from the “nose” of the paraboloid x = 1 - y2 - z2 by…
A: Click to see the answer
Q: Find the area of the surface obtained by rotating the parabola 1 y = 0 <x < 2, about the y-axis.
A: Click to see the answer
Q: The area of the surface obtained by rotating the curve y = x2, 0sxs1 about the y-axis is
A: Click to see the answer
Q: Find the exact area of the surface obtained by rotatingthe curve about the x-axis. 9x =y2 + 18 , 2…
A: Consider the curves, 9x=y2+18, 2≤x≤6 Differentiate the given curve with respect to “y” then,…
Q: The area of the surface obtained by rotating the curve x = 1sys7 about the x-axis is
A: Definition used - Area of the surface obtained by rotating the curve x=g(y) about…
Q: Find the area of the surface obtained by rotating the curve y² = 4x + 4 0<x<8 about the x-axis?
A: Click to see the answer
Q: .Find the area of the surface generated by revolving the curve y = 2x3 + 4, 0 ≤ y ≤ 4 about the…
A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…
Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y= square root…
A: The given curve is
Q: Sketch the section of the surface at y = 0. 9x^2+4z^2=36
A: Click to see the answer
Q: Find the area of the surface generated by revolving the curve y = - V6 sxs0, about the x-axis. 24'
A: Click to see the answer
Q: Find the equation of the surface of revolution formed by revolving the curve 2x + 3z = 1 in the…
A: Click to see the answer
Q: Find an equation for the surface of revolution formed by revolving the curve 2x + 3z = 1 in the…
A: Our Aim is to find an equation for the surface of revolution formed by revolving the curve 2x+3z=1…
Q: The area of the surface obtained by rotating the curve y = 25-x² , -4 sx<4 about the x-axis is
A: Area of the surface rotated about x -axis is, a≤x≤b,…
Q: Find the point(s) on the surface xyz = 1 closest to the origin.
A: Given, g(x,y,z): xyz=1 distance from origin is d=x2+y2+z2 f(x,y,z)=x2+y2+z2 square of distance…
Q: Find the point(s) on the surface xyz = 1 closest to the origin.
A: The point closest to the origin means distance from the origin must be minimum. (x, y,z) be the set…
Q: Find the point(s) on the surface xyz = 1 closest to the origin.
A: Click to see the answer
Q: Find the point(s) on the surface xyz = 1 closest to the origin.
A: Given: The given surafce is xyz=1
Q: You are given a y=sqrt(36-x^2) curve that rotates about the x-axis. What is the area of the…
A: To find the surface area of rotation of the below curve about the x-axis. y=36−x2
Q: Find the area of the surface generated by revolving the curve y = / 2x - x , 0.75<x<1.75, about the…
A: Click to see the answer
Q: Find the area of the surface generated when the curve y = V5x - x2 for 1 <r<4 volved about the…
A: Click to see the answer
Q: Find the area of the surface generated by revolving the curve y = sqrt(x + 1) , 1 <= x <= 5 about…
A: Given that the surface is generated by revolving the curve y=x+1 , 1 <= x <= 5 about the x -…
Q: Sketch the section of the surface at x = 0. y - 252 = 25 -12- -8 12 -6 -4 -6 12 -4 -8 -12 6 4 4 -6-4…
A: topic - hyperbola y2-25z2= 25 is a hyperbola with vertex are (0,5,0) and (0,-5,0)
Q: Graph the curve 8y2 = x2 (1 − x2 ). Use a computer algebra system to find the surface area of the…
A: Click to see the answer
Q: The area of the surface obtained by rotating the curve y = 1sxse about the line x = 42 is
A: Given that y= 1/x + x3 /12 and find the surface area. Here i attached solution of this question.
Q: Determine the points on the surface y2 + z2 − x = 8 that are closest to the origin. Solve problem…
A: Click to see the answer
Q: 4. Engineers are building a parabola shaped satellite dish, shape is formed by rotating y = ax²…
A: Click to see the answer
Q: Find an equation of the tangent plane to the given surface at the specified point. z = square…
A: z=xy Partially differentiating with respect to x, we get zxx, y=y·12x=12yx Partially differentiating…
Q: 3. (8.3) find the area of the surface obtained by rotating the curve y = v4- x2, -1<x < I about the…
A: Click to see the answer
Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = 6 − x,…
A: We will solve the problem.
Q: 13. Find the area of the surface generated when the curve = , on [2,4] is rotated about the y-axis.
A: The solution are next step is
Q: Find the exact area of the surface obtained by rotating the curve about the y- axis: y = 3 + 5x?,…
A: Consider the given function and interval. y=3+5x2, 3≤x≤8 If y=f(x) is function and the interval of y…
Q: Find the area of the surface generated when the given curve is revolved about the given axis. y = 3x…
A: Click to see the answer
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
