Answer:
-5x^4y^3
Step-by-step explanation:
so you divide -25 by 5 and the rule is if it is division for exponents then you subtract the exponent so 6-2=4, 7-4=3, 3-3=0. z^0 is 1 so we don't have to write it out.
Answer:
See Explanation
Step-by-step explanation:
If a Function is differentiable at a point c, it is also continuous at that point.
but be careful, to not assume that the inverse statement is true if a fuction is Continuous it doest not mean it is necessarily differentiable, it must satisfy the two conditions.
- the function must have one and only one tangent at x=c
- the fore mentioned tangent cannot be a vertical line.
And
If function is differentiable at a point x, then function must also be continuous at x. but The converse does not hold, a continuous function need not be differentiable.
- For example, a function with a bend, cusp, or vertical tangent may be continuous, but fails to be differentiable at the location of the anomaly.
Answer:
Following are the responses to the given points:
Step-by-step explanation:
Given:
Using formula:
For point a:
For point b:
For point c:
For point d:
Hence, the correct choice is "i".
For point e:
Answer:
attached below
Step-by-step explanation:
The Function; F(x) = x^2 / (x^4 + 81 )
power series representation
F(x) = x^2 / ( 81 + x^4 )
= ( x^2/81 ) / 1 - ( -x^4/81 )
attached below is the remaining part of solution
