Express the solid described below as a double integral in polar coordinates: B. Evaluate the double integral of the solid described in item above D. X 32 Below z = 1-x² - y² Inside of x² + y² - x = 0 Above z = 0 x/2 A. 2 √5*¹² * (¹1 - */2 d B. 2 (1+³) de d /2 sin C. 2(1-P) rdr de /2 sin D. 2 */²** (1 + r²) r dr de

Use the table to the right to answer the following question Energy es hem Energy released by buming 1 kg of a certain combustble sedimentary rock Energy released by fesion of 1 kg of a certain ge Energy released by fusion of hydrogen in 1 ter of water How many kilograms of combustible sedimentanry rock would be required to supply the energy needs of country A for 1 year? Country A annual energy consumption Country Bannual erergy consumption Rwould take approximately kilograms. (Use scientific noton. Use the multiplication symbol in the math palete as needed. Round to three decimal places as needed)

Show that the acceleration of a point particle in polar coordinates (d'r d²0 dr de +2 de 0 is equivalent to the acceleration in Cartesian a = r r dt? dt dt? dt dt d?x coordinates ả : dt? d'y -ŷ using r = dt? x² + y² , î = cos Oâ + sin0ŷ, 2 Ö = - sin Ox + cos Oŷ , x =r cos0, and y = r sin©.

Consider the polar curves C2 :r = 4 cos 0 and C3 :r = 4sin 0. (b) Set up the integral that gives the area of the region inside both C2 and C3.