using the following answer choices..answer questions 4-6 4. Using differentials

Question

using the following answer choices..answer questions 4-6

4. Using differentials to approximate square root 63 , what would the value of “x+h” be?

5. Using differentials to approximate square root 63 , what would the value of “x” be?

6. Using differentials to approximate square root 63 , what would the value of “h” be?

A. 64 B. 1 C. -1 D. 63

using the following answer choices..answer questions 6-9

7. Using differentials to approximate sin(31 ^o), what would the value of “x+h” be?

8. Using differentials to approximate sin(31 ^o) , what would the value of “x” be?

9. Using differentials to approximate sin(31 ^o), what would the value of “h” be, in radians?

A. 31^o B. pi/180 C. -pi/180 D. 30^o

Explanation / Answer

4. Using differentials to approximate square root 63 , what would the value of “x+h” be?

Ans :
Closest perfect square is 64
So, h = -1
So, x + h = 64 + (-1) = 63
Option D

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5. Using differentials to approximate square root 63 , what would the value of “x” be?

Ans :
The x value is ALWAYS the one that is the perfect square
So, x = 64
Option A

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6)Using differentials to approximate square root 63 , what would the value of “h” be?

Ans :
h = 63 - 64 ---> h = -1
Option C

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7) Using differentials to approximate sin(31 ^o), what would the value of “x+h” be?

Ans :
x + h = actual value = 31 degrees
So, option A

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8. Using differentials to approximate sin(31 ^o) , what would the value of “x” be?

Ans :
Closest good angle is 30 degrees
So, x = 30
Option D

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9. Using differentials to approximate sin(31 ^o), what would the value of “h” be, in radians?

Ans :
h = 31 - 30 = 1 degree
But we know that we have no place for degrees in calculus,
so convert to radian
h = 1 degree (pi/180)
h = pi/180 radians
So, option B

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