Question: 1find the equation of the tangent and the normal to...

1.Find the equation of the tangent and the normal to the curve  at the point where x = 2

 

1) Type equation of tangent in first input box in the form of y =mx + c

2) Type equation of normal in second input box in the form of y = mx + c

 

2.A farmer has 200m of fencing to make a rectangular enclosure for his cows as shown below. He will use an existing old wall for one of the side and leave an opening of 2 metres for a gate.  Calculate the dimensions that maximise the area of the enclosure. 

1.Calculate width of the rectangular enclosure. Express to 1 decimal place. 

2.Calculate the length of the rectangular enclosure. Express to 1 decimal place.

a) Prove the calculated variables will give maximum area 

3) Find the maximum area. Express to 1 decimal point.

please show the working thanks.