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. |
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d. |
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√
, use Taylor’s for 0
b. |
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c. |
e. |
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. |
√
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
.)