1.)Which two numbers on the number line have an absolute value of 1?
1 answer:
Absolute value is defined as the distance of a number from zero on a number line.
Since, the distance can never be negative, hence, absolute value can never be negative.
For example 1 is 1 away from the origin and -1 is also, 1 away from the origin.
Therefore, absolute value of both -1 and 1 is 1. Mathematically, we can write
|-1| =1
|1|=1
Therefore, the number 1 and -1 on the number line have an absolute value of 1.
You might be interested in
Answer:
The integral is equal to for an arbitrary constant C.
Step-by-step explanation:
a) If then
so the integral becomes
. (the constant of integration is actually 5C, but this doesn't affect the result when taking derivatives, so we still denote it by C)
b) In this case hence
. We rewrite the integral as
.
c) We use the trigonometric identity is part b). The value of the integral is
. which coincides with part a)
Note that we just replaced 5+C by C. This is because we are asked for an indefinite integral. Each value of C defines a unique antiderivative, but we are not interested in specific values of C as this integral is the family of all antiderivatives. Part a) and b) don't coincide for specific values of C (they would if we were working with a definite integral), but they do represent the same family of functions.