Answer:

Step-by-step explanation:
Hello,
for any real x different from 1

if f(x)=2x
f'(x)=2
if g(x)=-ln(1-x)

So antiderivative of

Is
2x-ln(1-x)
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
The equivalent expression of
is 
<h3>How to determine the
equivalent expression?</h3>
The expression is given as:
1 minus StartFraction 1 Over x EndFraction divided by 2
Rewrite properly as:

Express the division as product

Evaluate the product

Take the LCM

Hence, the equivalent expression of
is 
Read more about equivalent expression at:
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Answer: 3.9ft²
Step-by-step explanation:
Find the area of the rectangle first:
= Length * Width
= 2 * 1.5
= 3 ft²
Find the area of the semi-circle by finding the area of a circle and dividing it by 2:
= πr²
= 3.14 * 1.5/2 * 1.5/2
= 1.76625ft²
Divide by 2:
= 1.76625/ 2
= 0.88 ft²
Add the area of the rectangle to the semi-circle:
= 3 + 0.88
= 3.9ft²
Answer:
6
Step-by-step explanation:
Plug in 3 into both expressions
Then add those results
2(3)+21=6+21=27
3-24 =-21
-------
6 is the sum of 27 and -21
Answer:
"The product of a rational number and an irrational number is SOMETIMES irrational." If you multiply any irrational number by the rational number zero, the result will be zero, which is rational. Any other situation, however, of a rational times an irrational will be irrational
A better statement would be:
"The product of a non-zero rational number and an irrational number is irrational