Sam colors each tile in a 4 by 4 grid white or black. A coloring is called rotationally symmetric if the grid can be rotated 90, 180, or 270 degrees to achieve the same pattern. Two colorings are called rotationally distinct if neither can be rotated to match the other. How many rotationally distinct ways are there for Sam to color the grid such that the colorings are not rotationally symmetric?

Calculating the limit by product rule is WRONG

Step-by-step explanation:

Indeterminate forms is an expression involving 2 functions whose limit cannot be determined by limits of individual functions. If we calculate the limits by general rules used for calculating the limits, we will not have a clear answer.

Examples of indeterminate forms are:

To find the limits of such forms, we have to use L'hospital rule, which states that if:

As it is an INDETERMINATE FORM, we cannot calculate its limit by product rule. We have to use L'Hospital Rule:

hope this .

r3t40

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet