Answer:
Step-by-step explanation:
PART A: 2x^5 + 3x^2-3
It is a fifth degree polynomial because, the highest degree is 5 and it is in the standard form since, the polynomial is written in descending order i.e, from highest degree to the least
part B:
Closure property is applicable to the subtraction of polynomials.
for example 2x^4+2x^2-5 is a polynomial and 2x^3+2x+2 is also a polynomial.
if we subtract these two polynomials, the outcome
2x^4-2x^3+2x^2-2x-7 is also a polynomial
Answer:
1/26
Step-by-step explanation:
Volume of cylinder = πr²h = π x 4² x 6 = 96π
volume of cone = 1/3πR²H = 1/3π x 8² x 12 = 256π
You can see that volume of cone is more than twice of volume of cylinder. So she is not correct
Answer:
This contradict of the chain rule.
Step-by-step explanation:
The given functions are
It is given that,
According to chin rule,
It means,
is differentiable if f(g(c)) and g(c) is differentiable at x=c.
Here g(x) is not differentiable at x=0 but both compositions are differentiable, which is a contradiction of the chain rule
The logarithmic expression is

To expand the expression we have to use some properties of logarithm.
We know that 
By using this property we can write,

Square root means to the power 1/2, so for
, we can write
.

Now we have to use another property of logarithm.
We know that, 
So we will use this property to 



Now we have to use another property of logarithm.
We know that, 
By using this property we can write,

This is the required aswer here.