Find the 96 th derivative of f(1) = sin c.
f (96) (2)
=

The derivatives of sin(x) follow a simple pattern:

f(x) = sin(x)

f '(x) = cos(x)

f ''(x) = - sin(x)

f '''(x) = - cos(x)

f (x) = sin(x)

and so on. 96 is a multiple of 4, so

f ⁽⁹⁶⁾(x) = sin(x)

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.