The length and width of a rectangle are measured as 55 cm and 49 cm, respectively, with an error in measurement of at most 0.1 cm in each. use differentials to estimate the maximum error in the calculated area of the rectangle.

The maximum error in the calculated area of the rectangle is

Step-by-step explanation:

The area of a rectangle with length and width is so the differential of A is

so

We know that each error is at most 0.1 cm, we have , . To find the maximum error in the calculated area of the rectangle we take , and , . This gives

Thus the maximum error in the calculated area of the rectangle is

darn right!

step-by-step explanation:

steve kerr's sons name is let that skin in.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: