A. Yes you are correct that the gradient at any point is 3/(3x-1). However at point P it would be 3/(3*2-1)=2/5
b. The gradient of the normal would therefore be -5/2
We can use the general formula of an equation to get y-ln(5)=-5/2 (x-2)
Now multiply both sides by 2 to get:
2y-2ln(5)=-5x+10
Now when it crosses the x axis we know that y=0 therefore:
5x=10+2ln(5)
Therefore:
x=2+2/5 ln(5) when y=0
You could find an estimate of this number to be 2.64 (3sf) but this might not be sufficient
Answer:
first equation: 3
/4
y+17/4 (x), 4
/3
x−17/
3 (y)
second equation: 4
/3
y+
11/
3 (x), 3/4
x−11
/4
Answer:
i need points lol
Step-by-step explanation:
points srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srrypoints srry
Answer:
5
Step-by-step explanation:
The value 0.014 was multiplied by has 5 zeros. So the decimal point would move 5 places to the right