The region is a sphere of radius 2. find the limits of integration on the triple integral for the volume of the sphere using cartesian, cylindrical, and spherical coordinates and the function to be integrated. for your answers θ= theta, ϕ=phi, and rho= rho.

cartesian
v=∫ba∫dc∫fep(x, y,z) dxdydz
where a= , b= , c= , d= , e= , f= and p(x, y,z)= .
cylindrical
v=∫ba∫dc∫fep(r,θ,z)dzdrdθ
where a= , b= , c= , d= , e= , f= and p(r,θ,z)= .
spherical
v=∫ba ∫dc ∫fep(rho,θ,ϕ)drhodθdϕ
where a= , b= , c= , d= , e= , f= and p(rho,θ,ϕ)= .

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100   * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

                                                            = $25.99 - $6.49

                                                            =$19.5

total amount to be paid = $19.5

$15 each

step-by-step explanation:

$45/3 children= $15 each

slope is 35 and 20 miles is the y-intercept.

step-by-step explanation:

the answer is 8/21

hope this