Approximation
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AMERICAN DEGREE FOUNDATION PROGRAM SPRING SEMESTER 2009 USMT 25 – CALCULUS 1 EXERCISE 6
QUESTION 1 1. (1 + ) ≈ 1 + 15 if is close to 0 2. ≈ 1+ if is close to 0 √
3. tan ≈ for = 0 4. ( ) = √1 + , = 0. Use the information given to approximate √0.9 and√1.1. 5. Given ( ) = . Use the differentials method √
QUESTION 2 Use the differential to approximate: 1. 2. 3. 4. 5. 6. 7. 8. 9.
(3.02) (1.97) √65 √24 √80.9 √36.03 sin 0.1 tan 0.2 cos 31°
QUESTION 3 If ∆ =
−
1. √10 2. √402
, use the suitable differential formula to approximate:
QUESTION 1 1. (1 + ) ≈ 1 + 15 if is close to 0 2. ≈ 1+ if is close to 0 √
3. tan ≈ for = 0 4. ( ) = √1 + , = 0. Use the information given to approximate √0.9 and√1.1. 5. Given ( ) = . Use the differentials method √
QUESTION 2 Use the differential to approximate: 1. 2. 3. 4. 5. 6. 7. 8. 9.
(3.02) (1.97) √65 √24 √80.9 √36.03 sin 0.1 tan 0.2 cos 31°
QUESTION 3 If ∆ =
−
1. √10 2. √402
, use the suitable differential formula to approximate:
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