Study Guide for Stewart's Multivariable Calculus, 8th
8th Edition
ISBN: 9781305271845
Author: Stewart, James
Publisher: Brooks Cole
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Chapter 12.2, Problem 2PT
To determine
To choose: The appropriate option for the statement “The length of
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Chapter 12 Solutions
Study Guide for Stewart's Multivariable Calculus, 8th
Ch. 12.1 - Prob. 1PTCh. 12.1 - Prob. 2PTCh. 12.1 - Prob. 3PTCh. 12.1 - Prob. 4PTCh. 12.1 - Prob. 5PTCh. 12.2 - Prob. 1PTCh. 12.2 - Prob. 2PTCh. 12.2 - Prob. 3PTCh. 12.2 - Prob. 4PTCh. 12.2 - Prob. 5PT
Ch. 12.2 - Prob. 6PTCh. 12.3 - For a = 2i + 3j 4k and b = i + 2j k, a b = a) 0...Ch. 12.3 - Prob. 2PTCh. 12.3 - Prob. 3PTCh. 12.3 - Prob. 4PTCh. 12.3 - Prob. 5PTCh. 12.3 - Prob. 6PTCh. 12.4 - Prob. 1PTCh. 12.4 - Prob. 2PTCh. 12.4 - Prob. 3PTCh. 12.4 - Prob. 4PTCh. 12.4 - Prob. 5PTCh. 12.4 - Prob. 6PTCh. 12.5 - The equation of the line through (4, 10, 8) and...Ch. 12.5 - True or False: These lines are skew:...Ch. 12.5 - The equation of the plane through 7, 2, 3 with...Ch. 12.5 - The equation of the plane formed by the two lines...Ch. 12.5 - The distance from (1, 2, 1) to the plane 6x + 5y +...Ch. 12.5 - A normal vector to the plane 2x + 3y + 6z =20 is:...Ch. 12.6 - Prob. 1PTCh. 12.6 - Prob. 2PTCh. 12.6 - Prob. 3PTCh. 12.6 - The graph at the right has equation: a)...Ch. 12.6 - Prob. 5PTCh. 12.6 - Prob. 6PT
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- In Exercises 34 to 36, provide paragraph proofs. Given: Square HJKL with LJ=d Prove: AHJKL=d22arrow_forwardIn Exercises 9 to 12, name the method that explains why DGH~DEF. DE=3DG and DF=3DHarrow_forwardUse the result of Exercise 13 to do the following problem. In ABCD, AB=7 and BC=12. The length of altitude AF to side BC is 5. Find the length of altitude AE from A to DC.arrow_forward
- In Exercises 9 to 12, name the method that explains why DGH~DEF. See the figure in the right column. DE=3DG and DF=3DHarrow_forwardDoes it follow from Exercise 30 that ADE is also congruent to CBE? What can you conclude regarding AE and CE in the drawing? What can you conclude regarding DEandBE?arrow_forwardIn Exercises 25 to 28, ABCDBE Exercises 25-28 Given: AC = 10, CB = 12. E is the midpoint of CB Find: DEarrow_forward
- In Exercises 9 to 28, use the drawings as needed to answer the following questions. Exercises 1417 Given: AM=2x+1, MB=3x+2, and AB=6x4 Find: x and ABarrow_forwardGiven: ABC is isosceles with base AB AB=y+7BC=3y+5AC=9y Find: Whether ABC is also equilateral Exercises 25, 26arrow_forwardIn Exercises 27 to 30, fill in the missing reasons for each geometric proof. Given: E is the midpoint of DF Prove: DE=12(DF) Exercises 27, 28 PROOF Statements Reasons 1. E is the midpoint of DF 1. ? 2. DE=EF 2. ? 3. DE+EF=DF 3. ? 4. DE+DE=DF 4. ? 5. 2(DE)=DF 5. ? 6. DE=12(DF) 6. ?arrow_forward
- Use the result of Exercise 13 to do the following problem. In MNPQ, QP=12 and QM=9. The length of altitude QR to side MN is 6. Find the length of altitude QS from Q to PN.arrow_forwardGeneralize the results found in Exercise 11 and 12 by answering each of the following questions. Assume that the number of sides in each base of the prism is n. For the prism, what is the a number of vertices? b number of lateral edges? c number of base edges? d total of base of edges? e number of lateral faces? f number of bases? g total number of faces?arrow_forwardGiven: ABC, whose sides are 13 in., 14 in., and 15 in. Find: a BD, the length of the altitude to the 14-in. side HINT: USE the Pythagorean Theorem twice. b The area of ABC, using the result from part a Exercises 39, 40arrow_forward
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