To solve the problem, we need to understand the usage of the ROUND function in Excel, which is used to round numbers to a specified number of digits.
1. Purpose of the ROUND Function:
The ROUND function is used to round a number to a specified number of digits. It can round both decimal and whole numbers.
2. Syntax of the ROUND Function:=ROUND(number, num_digits)
Where:
number is the numeric value you want to round.num_digits specifies the number of digits to which you want to round the number.3. Explanation with Examples:
=ROUND(12.3456, 2) returns 12.35 — rounds to 2 decimal places.=ROUND(12.3456, 0) returns 12 — rounds to nearest whole number.=ROUND(12.3456, -1) returns 10 — rounds to nearest 10.4. Rounding Behavior:
If the digit following the rounding position is 5 or more, Excel rounds the number up. Otherwise, it rounds down.
Final Answer:
The ROUND function in Excel rounds a number to a specified number of digits, using the syntax:=ROUND(number, num_digits)
Draw a rough sketch for the curve $y = 2 + |x + 1|$. Using integration, find the area of the region bounded by the curve $y = 2 + |x + 1|$, $x = -4$, $x = 3$, and $y = 0$.
For the curve \( \sqrt{x} + \sqrt{y} = 1 \), find the value of \( \frac{dy}{dx} \) at the point \( \left(\frac{1}{9}, \frac{1}{9}\right) \).