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BC Calc III Quiz #7 Name: No Calculator allowed. You must show enough work so that I can recreate your results. 8 pts #1a. Sketch the graph of r 1 2 cos ,0 2 on the axes below. Neatness and accuracy count! b. Write the equation of the tangent line (in Cartesian coordinates) to the graph of r 1 2 cos , , at the point where . Graph this line on the above axes. 3 5 pts #2. The graph of r 1 2cos is shown below. Shade in the region on the graph whose area is given by 1 2 1 2 cos d . 2 0 6 pts #3. The graphs of r 1 sin( ) and r 3sin( ) are shown below. Set up an integral or integrals that give the area inside the graph of r 1 sin( ) but outside the graph of r 3sin( ) . 1 pt #4. Find the points on the graph r 7 2 sin , 0 2 that are closest, 3 furthest from the origin. Answers may not turn out “nice”.