Your proof is correct and very well done
For numbers 9 and 10, we are dealing with negative exponents.
The rule of exponents states that any quantity b, taken to the power -n, equals the reciprocal of b, taken to the nth power.
Example: x⁻³ = 1 / x³
Number 9: ( 3 / y² ) ⁻³
Step 1: take the reciprocal:
( 3 / y² ) ⁻³ = ( y² / 3 ) ³
Step 2: distribute the exponent
( y² / 3 ) ³ = y⁶ / 27
Try to do number 10 on your own. If you have any questions, comment.
Answer:
Step-by-step explanation:
Let (x,y) represents a point P on the curve,
So, the slope of the curve at point P = 
According to the question,
Integrating both sides,
Since, the curve is passing through the point (0, 5),
Hence, the required equation of the curve is,
