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:
that value is 0
Step-by-step explanation:
its negativeright
Answer:
degree 1
Step-by-step explanation:
The trapezoidal rule is exact when the second derivative is zero. This occurs when the polynomial is degree one or less
Answer:
yes
Step-by-step explanation:
1. put the compass at 3 inches
2. draw the arch mark at each end of the base line
4. put a dot were both arch marks intersect
5. draw a line connecting the triangle
6.repeat the following steps for the 4 inch triangle