Options:
A. [1,10] B. [10,20] C. [15,25] D. [1,30]
Answer:
A. [1,10]
Step-by-step explanation:
Given

Required
Interval with the fastest rate of decay
The rate of change over [a,b] is calculated as:

So, we have:
A. [1,10]


Calculate N(10) and N(1)


So:

B. [10,20]


Calculate N(20) and N(10)


So:

C. [15,25]


Calculate N(25) and N(15)


So:

D. [1,30]


Calculate N(30) and N(1)


So:

By comparing the values of the calculated rates,
-2.03 is the smallest, in other words; the fastest rate
Hence, the interval [1,10] has the fastest rate of decay
1. (a) for Y axis, put x=0 in the equation of the line to get: y=3(0)+5
y=5 at P
(B) Two lines are parallel if they have the same slope. Given slope m= 3 (from y=mx+b)
therefore the equation of the line parallel to the given line is:
y= 3x+b
Answer:
The correct option is;
Non of the above
Step-by-step explanation:
Option A is correct when a + b·i is a complex number, the real part = a and the imaginary part = b
Option B.) For the complex number, a + b·i, a and b are real number
Option C) When a number, a + b·i is a complex number, then b ≠ 0
Option D) Whereby real numbers are numbers of the form a + b·i, where b = 0, therefore, a real number is a complex number with the imaginary part = 0 and every real number is a complex number.
Answer:
-4 and 6
Step-by-step explanation: