Answer:
x = 2
Step-by-step explanation:
note that 4096 = , then
=
Since bases on both sides are equal, both 8 , then equate the exponents
2x = 4 ( divide both sides by 2 )
x = 2
9. Determine whether or not the number 257 is prime.
1 answer:
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See attached for a sketch of some of the cross sections.
Each cross section has area equal to the square of the side length, which in turn is the vertical distance between the curve y = √(x + 1) and the x-axis (i.e. the distance between them that is parallel to the y-axis). This distance will be √(x + 1).
If the thickness of each cross section is ∆x, then the volume of each cross section is
∆V = (√(x + 1))² ∆x = (x + 1) ∆x
As we let ∆x approach 0 and take infinitely many such cross sections, the total volume of the solid is given by the definite integral,
