Given: Isosceles
Find:
Exercises 29, 30
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Elementary Geometry For College Students, 7e
- Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?arrow_forwardUse the boxing method as suggested in Exercise 33, to find the area RST, with R-2,4,S-1,-2,andT6,5. Exercises 33, 34arrow_forwardIn isosceles trapezoid WXYZ with bases ZY and WX, ZY = 8, YX = 10 and WX = 20. Find height h the length of ZD or YE. Exercises 19, 20arrow_forward
- Determine whether the statement is true or false. a A right circular cone has exactly two bases. b The lateral area L of a right circular cylinder with radius length r and height h is given by L=2rh.arrow_forwardUse cylindrical coordinates.Evaluate E z dV, where E is enclosed by the paraboloid z = x2 + y2 and the plane z = 16.arrow_forwardUse geometry to evaluate ∫∫∫R 1 dV where R is the region inside the sphere x2+y2+z2=4.arrow_forward
- Given: Let M be the portion of the parabolic cylinder z = 1 − y2 in the first octant bounded by the planes x = y, x = 0, and z = 0. If the surface area of M is 1/a(b√b − 1).Find: the values of the constants a and b.arrow_forwardFind the volumes of the solids generated by revolving the regions bounded by the graphs of the equations y = x2 and y = 6x- x2 about the given lines x-axis and y=6. A. 37π B. 27π C. 17π D. 47πarrow_forwardUse Pappus's theorem for surface area and the fact that the surface area of a sphere of radius a is 4πa2 to find the centroid of the semicircle x=a2−y2.arrow_forward
- Find the volume of the parallelepiped with adjacent edges t = 3j – 4j – 6k, u = 3i – 7j – 7k and v = 5i + j + 3k. a 94 cubic units b 278 cubic units c 234 cubic units d 134 cubic unitsarrow_forwardGiven the surface r(u,v) = <ucosv, usinv, v> (0 ≤ u ≤ 5, 0 ≤ v ≤ 4pi) Explain clearly what gridlines are found when u is constant and when v is constant.arrow_forwardFind the area of the surface obtained by rotating thecircle x2 + y2 = r about the line y =r.arrow_forward
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