The dimensions of a closed rectangular box are measured as 97 cm, 67 cm, and 34 cm, respectively, with a possible error of 0.2 cm in each dimension. use differentials to estimate the maximum error in calculating the surface area of the box. (round your answer to one decimal place.)

The maximum error in calculating the surface area of the box is .

Step-by-step explanation:

Differentials are infinitely small quantities. Given a function we call and differentials and the relationship between them is given by,

If the dimensions of the box are , and , its surface area is and

We are given that , , and .

To find the largest error in the surface area, we therefore use together with

An error of 0.2 cm in each dimension could lead to an error of in the calculated surface area.

y-y1=4(x-x1)

step-by-step explanation:

this is point-slope form since you only have 4 as the slope it goes in place of m

hope this : )

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.