Sketch the solid in 3-space that is described in cylindrical coordinates by the stated inequalities. a 1 ≤ r ≤ 2 b 2 ≤ z ≤ 3 c π / 6 ≤ θ ≤ π / 3 d 1 ≤ r ≤ 2 , 2 ≤ z ≤ 3 , and π / 6 ≤ θ ≤ π / 3
Sketch the solid in 3-space that is described in cylindrical coordinates by the stated inequalities. a 1 ≤ r ≤ 2 b 2 ≤ z ≤ 3 c π / 6 ≤ θ ≤ π / 3 d 1 ≤ r ≤ 2 , 2 ≤ z ≤ 3 , and π / 6 ≤ θ ≤ π / 3
A sphere, Si is given by the equation: r² + y² + 2² – 2x – 4y +82 + 17 = 0
(a) Write the equation for sphere S, in standard form
(b) Sz is a sphere centered at (-3, -2, 1) and tangent to the xy plane. Find the distance from the surface of Si to the
surface of S2.
Write a paragraph explaining how the distance formula giving the distance between two points (x1, y1) and (x2, y2) in the xy-plane is related to the Pythagorean theorem.
Precalculus Enhanced with Graphing Utilities (7th Edition)
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