a.
To find: the value of a for which the equation is true.
a.
Answer to Problem 10QR
Explanation of Solution
Given information:
The equation:
Definition Used:
For a real number a ,
By the above definition,
Now, it is known that,
Case 1:
Then,
Also the given equation is
So,
This case is always true.
Case 2:
Then,
Also the given equation is
So,
This case is never true.
Therefore, the given equation is true only for
b.
To find: the value of a for which the equation is true.
b.
Answer to Problem 10QR
All real values of a
Explanation of Solution
Given information:
The equation:
Definition Used:
For a real number a ,
By the above definition,
Also, the given equation
Now, it is known that,
Case 1:
Then,
So,
Case 2:
Then,
So,
Thus, at least one of the two equations
Therefore, the given equation is true for all real values of a .
c.
To find: the value of a for which the equation is true.
c.
Answer to Problem 10QR
All real values of a .
Explanation of Solution
Given information:
The equation:
Definition Used:
For a real number a ,
Consider,
So, the left hand side of given equation is equal to the right hand side of the equation for all values of a .
Therefore, the given equation is true for all real values of a .
Chapter 0 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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