Consider the following statements in respect of the function f(x) = x² + 1 in the interval [1, 2]:

1. The maximum value of the function is 5.

2. The minimum value of the function is 2.

Which of the above statements is/are correct?

Where does the tangent to the curve y = e^x at the point (0, 1) meet x-axis?

Consider the following statements in respect of the function f(x) = x + $\rm \frac{1}{x}$:

1. The local maximum value of f(x) is less than its local minimum value.

2. The local maximum value of f(x) occurs at x = 1.

Which of the above statements is/are correct?

What is the maximum area of a rectangle that can be inscribed in a circle of radius 2 units?