Calculus

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Find the centroid of the finite plane region bounded by the curve y = 4 - x2 and the line . Started by 123654777	1 Replies 87 Views	May 26, 2021 by voltaire123
Find the centroid of the planar region bounded by y = , y = 0, x = 1, and x = 2. Started by strangeaffliction	1 Replies 138 Views	May 26, 2021 by komodo7
Find the centroid of the region bounded by the x-axis and the curve y = -16 + 10 x - x2. Started by urbanoutfitters	1 Replies 73 Views	May 26, 2021 by momolu
Find the centroid of the region in the first quadrant bounded by the lines y = 5x, y = x, and x = 4. Started by crazycityslicker	1 Replies 84 Views	May 26, 2021 by nothere
The plane region defined by 0 y , 0 x a is revolved about the x-axis to generate a 3-dimensional ... Started by MGLQZ	1 Replies 46 Views	May 26, 2021 by Pswine
A hemispherical bowl of radius r cm is filled with water. How far below the surface is the centre of ... Started by luminitza	1 Replies 43 Views	May 26, 2021 by zenzy
A thin plate occupying the planar region 0 x g(y), c y d has mass equal to 2 units. If the areal ... Started by fasfsadfdsfa	1 Replies 131 Views	May 26, 2021 by polinasid
Find the moment about the line x = 4 of a plate of constant density 1 occupying the finite plane ... Started by craiczarry	1 Replies 82 Views	May 26, 2021 by sierramartinez
A triangular plate has vertices at (0, 0), (a, 0), and (0, b), where a > 0 and b > 0. The plate has ... Started by cnetterville	1 Replies 32 Views	May 26, 2021 by kingfahad97
A conical tank with vertex at the bottom and top radius 10 cm is 40 cm tall. It is filled with a ... Started by anshika	1 Replies 55 Views	May 26, 2021 by manuelcastillo
Find the centre of mass of a system of point masses m1 = 6, m2 = 3, m3 = 2, and m4 = 9 located at ... Started by lilldybug07	1 Replies 37 Views	May 26, 2021 by Ahnyah
Assuming the Earth is spherical with radius 6378 km, find the area of the surface of the Earth ... Started by KimWrice	1 Replies 48 Views	May 26, 2021 by cascooper22
Find, correct to 4 decimal places, the length of the curve y = x2/3 from x = 1 to x = 8. Started by CBme	1 Replies 31 Views	May 26, 2021 by asdfasdf
Find the length of the curve y = - from x = 0 to x = 3. Started by bcretired	1 Replies 45 Views	May 26, 2021 by Benayers
Find the area of the surface generated by rotating y = ex, - x 0 about y = 0. Started by RYAN BANYAN	1 Replies 62 Views	May 26, 2021 by todom5090
Find the area of the surface generated by rotating x2 + y2 = a2 about y = a. Started by skymedlock	1 Replies 50 Views	May 26, 2021 by Brenm
Find the area of the surface obtained by rotating the curve y = x2, -1 x 1, about the y-axis. Started by Destiiny22	1 Replies 65 Views	May 26, 2021 by lauravaras
Find the length of the arc y = ln(sec x) between x = 0 and x = . Started by neverstopbelieb	1 Replies 27 Views	May 26, 2021 by Rilsmarie951
Find the length of the arc y = ln between x = 1 and x = 2. Started by darbym82	1 Replies 33 Views	May 26, 2021 by ryansturges
A notch is cut out of a vertical cylindrical log of radius r cm by two planar saw cuts that meet ... Started by mspears3	1 Replies 39 Views	May 26, 2021 by asware1
A certain solid S has a horizontal plane region R as its base and has height h cm measured ... Started by rlane42	1 Replies 42 Views	May 26, 2021 by chjcharjto14
A ball of radius r has volume V(r) = r3 cubic units. This volume can be regarded as a sum of ... Started by imowrer	1 Replies 115 Views	May 26, 2021 by Ptupou85
The base of a certain solid is a circular disk of radius a cm. Cross-sections of the solid in planes ... Started by EAugust	1 Replies 71 Views	May 26, 2021 by irishcancer18
A cube has edge length a cm and one corner at position O. A plane passing through the three corners ... Started by londonang	1 Replies 39 Views	May 26, 2021 by nicoleclaire22
Find the volume of an elliptical cone whose base in the horizontal xy-plane is the elliptic disk ... Started by colton	1 Replies 41 Views	May 26, 2021 by nixon_s