1.For ?(?) = 2?2 + ? − 4 , ?(?) = 7 − ?2 compute each of the following:
- Evaluate the following limits:
- Differentiate the following :
- Derive the formula for the Product Rule for four functions.
- Evaluate each of the following integrals:
- Find the general solution of the differential equation given below:
- Solve the initial value problem:
- Describe the applications of the Integration with real life examples (150 words) .
- Write a detailed note on the applications of differential equations in real world problems.
Give at least two Examples.
Sample Solution