<u>Answer-</u>
At
the curve has maximum curvature.
<u>Solution-</u>
The formula for curvature =

Here,

Then,

Putting the values,

Now, in order to get the max curvature value, we have to calculate the first derivative of this function and then to get where its value is max, we have to equate it to 0.

Now, equating this to 0






Solving this eq,
we get 
∴ At
the curvature is maximum.
The answer will be D) 75
To find this it’s easiest to find how many animals there are per percent. So to find this you simply have to divide 30 (the number of cats) by 40 (the percent that makes up) to find the number of animals per percent.
30/40
.75
Then you multiply this by 100 to find how many animals there are total.
.75(100)
75
It is given in the question that the end of a pendulum with a length of 21 cm travels an arc length of 24 cm.
So here radius is 21 cm and the arc length is 24 cm .
Now we use the arc length formula , which is

Where s is the arc length and r is the radius.
Substituting these values, we will get

And now we need to convert radian to degree, and for that we have to multiply by 
That is
