Consider the sphere, x^2 + y^2 + z^2 = 2, and the paraboloid z = x^2 + y^2. Requried:
a. Describe the intersection of the sphere and the paraboloid in terms of a pair of equations.
b. Write down the iterated triple integral in cylindrical coordinates that represents the volume of the region bounded above by the sphere and below by the paraboloid. Hence evaluate this volume.
c. Write down the iterated triple integral in spherical coordinates that represents the volume of the region defined in (b). Do not evaluate this integral.

im pretty sure its

(8,15)

step-by-step explanation:

answer: 16

step-by-step explanation: first you would add 6+6 which equals 12 then add 2+2 which equals 4. then add 12 + 4 which is 16.

hope this ^_^

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!