calculus needed

1.) find the area or the region bounded by the curves y = x^3 and y = 9x.
a. 0
b. 10.13
c. 40.50
d. 20.25

2.)the region in the first quadrant bounded by the x-axis, the line x = π, and the curve y = sin(sin(x)) is rotated about the x-axis. what is the volume of the generated solid?
a. 1.219
b. 3.830
c. 1.786
d. 5.612

1. The given curves intersect one another three times:

The area of the bounded region is

is odd, but the absolute value makes it even. More formally,

which means the integral is equivalent to

For , the definition of absolute value tells us that

so the integral evaluates to

2. Using the disk method, the volume is given by the integral

Use a calculator to get the result 1.219.

step-by-step explanation:

ok so im not 100% sure but you would start by adding 5.1t and 1.9t beacuse they have the same variable. that is 7t.   then add -3.6 + 1.2 which is -2.4

so then keep that as -2.4 + 7t. i apologize if this is incorrect. best luck on your test < 3

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.