9. Draw the polar curve defined by r = 4 - 2 cos 30. 10. Convert the polar equation to rectangular form. Simplify your answer r²csc ³0 = r² cot²0 csc 0 +2rsec²0 3. A big circle is inscribed in a square. A small circle is tangent to the big circle and to two sides of the square. If the diagonal of the square is 2 cm, what is the exact area of the small circle? 4. A frustum of a regular pyramid with central angle is inscribed in a frustum of a cone whose height and slant height are 12 and 13 respectively. Find the exact volume of the frustum of the pyramid if the volume and total area of the frustum of the cone are 7007 and 320m, respectively. Draw the frustums.
9. Draw the polar curve defined by r = 4 - 2 cos 30. 10. Convert the polar equation to rectangular form. Simplify your answer r²csc ³0 = r² cot²0 csc 0 +2rsec²0 3. A big circle is inscribed in a square. A small circle is tangent to the big circle and to two sides of the square. If the diagonal of the square is 2 cm, what is the exact area of the small circle? 4. A frustum of a regular pyramid with central angle is inscribed in a frustum of a cone whose height and slant height are 12 and 13 respectively. Find the exact volume of the frustum of the pyramid if the volume and total area of the frustum of the cone are 7007 and 320m, respectively. Draw the frustums.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:9. Draw the polar curve defined by r = 4 – 2 cos 30.
10. Convert the polar equation to rectangular form. Simplify your answer
r?csc°0 = r?cot20 csc e + 2rsec2e
3. A big circle is inscribed in a square. A small circle is tangent to the big circle and to two
sides of the square. If the diagonal of the square is 2 cm, what is the exact area of the small
circle?
4. A frustum of a regular pyramid with central angle is inscribed in a frustum of a cone
whose height and slant height are 12 and 13 respectively. Find the exact volume of the
frustum of the pyramid if the volume and total area of the frustum of the cone are 700n and
320, respectively. Draw the frustums.
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