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

the answer is d

hope this

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).