1) Find the volume of the solid obtained by rotating the region
in the first quadrant bounded by the curves
x=0, y=1, x=y^7, about the line y=1.
2) Find the surface area of revolution about the x-axis of y=7x+4
over the interval 1≤x≤4.
3)The region bounded by f(x)=−1x^2+5x+14 x=0, and y=0 is rotated
about the y-axis. Find the volume of the solid of
revolution.
Find the exact value; write answer without decimals.
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1) Find the volume of the solid obtained by rotating the region in the first quadrant...
2) The region R in the first quadrant of the xy-plane is bounded by the curves y=−3x^2+21x+54, x=0 and y=0. A solid S is formed by rotating R about the y-axis: the (exact) volume of S is = 3) The region R in the first quadrant of the xy-plane is bounded by the curves y=−2sin(x), x=π, x=2π and y=0. A solid S is formed by rotating R about the y-axis: the volume of S is = 4) The region bounded...
please answer 1&2 Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 5x", y = 5x, x2 0; about the x-axis V = Sketch the region. y у 5- 6 4 3 3 N -0. 0.5 1.0 X 1.5 -0.5 0.5 1.0 1.5 Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y2 =...
(1 point) Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y=x2, y= 1, and the y-axis about the line y= -2. Volume =
Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the given curve about the y-axis. y=4-(3-9) Preview Get help: Video Points possible: 1 This is attempt 1 of 5. Submit 0123movies.to.2 Please install a new upgra- INSTALL CANCEL assessment/showtest pholation skip to 7 search
1 point) Find the volume of the solid obtained by rotating the region bounded by the given curves below about the y-axis. r=0, x=1, y=0, y=2+23 Volume =
FIND THE VOLUME OF THE SOLID OBTAINED BY ROTATING THE REGION BOUNDED BY THE GIVEN CURVES ABOUT THE SPECIFIED AXIS. y=ex, y=0, x=0, x=1, ABOUT THE x-axis
4. Find the volume of the solid formed by the curves x = 1-y^4 and x= 0, and rotated about the y-axis 5. Calculate the volume of the solid obtained by rotating the region bounded by the curves y = x^2, y=0, x=-2 https://gyazo.com/cedb31d3c70d20f6947f520b865a0307
3. (a) Find the exact volume of the solid obtained by rotating the region between the curves y = - andy (1 – 26) on the interval (0, 1] about the y-axis. (6) Find the center of mass of the region under the graph of f(x) = 1 + x2 + x* on the interval (-1,1).
3. (a) Find the exact volume of the solid obtained by rotating the region between the curves y = = and y = (1 - 26) on the interval [0, 1] about the y-axis. (b) Find the center of mass of the region under the graph of f(x) = 1+z2+z* on the interval (-1,1].
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 4 − 1/2x, y = 0, x = 1, x = 2; about the x-axis V =