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Fall 2012 Math 152 Quiz 7 (§ 10.9, 11.1) Section ________ Name ____________________ There are 3 problems. Show all steps to receive full credit! Neat handwriting is expected. Calculators/notes/books are not allowed. 1. In three‐dimensional space, , the equation 9 describes a. a parabola b. a sphere c. a cylinder d. a circle e. a plane 2. What is the distance between points 2, 1,4 and 1, 3, 2 ? a. 3 b. 7 c. 49 d. √29 e. √61 3. The equation of the sphere passing through the point 1,2,3 with center 2, 1,3 is a. 1 2 3 10 1 3 10 b. 2 c. 1 2 3 d. e. 2 1 1 2 3 3 √10 √10 100 Bonus: 0.5 point If we approximate sin with a third degree Taylor Polynomial at Inequality to estimate the accuracy of the approximation sin a. | | d. | | √ , use Taylor’s for 0 b. | | c. | e. | | . | √ Congratulations! You have finished all the quizzes. So, let us do something for fun. Be creative! 0.5 points. We know that lim ∞. So, lim ________________________________________ (Hint: Since lim ∞ , we have lim .)