Answer:
No
Step-by-step explanation:
you can see that they can not go into each other and come out correct so the answer would have to be no (we were working on this same thing)
Answer:
x>−3
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
84>−24x+12
Step 2: Flip the equation.
−24x+12<84
Step 3: Subtract 12 from both sides.
−24x+12−12<84−12
−24x<72
Step 4: Divide both sides by -24.
−24x
/−24
<
72
/−24
Step-by-step explanation:
A cross-section is a washer with an inner radius of 8sin(x) - (-1) and an outer radius of 8cos(x) - -(1), so its area would be:
A(x) = π[(8cos(x) + 1)^2 − (8sin(x) + 1)^2]
= π[64cos^2(x) + 16cos(x) + 1 - 64sin^2(x) − 16sin(x) − 1]
= π[64cos(2x) + 16cos(x) - 16sin(x)]
=> V(x) = ∫[0,π/4] π[64cos(2x) + 16cos(x) - 16sin(x)] dx
= π[32sin(2x) + 16sin(x) + 16cos(x)] |[0,π/4]
= π[32sin(π/2) + 16√2/2 + 16√2/2 - 16]
= π(32 - 16 + 16√2) = π(16 + 16√2)
The volume of the region is π(16 + 16√2).
