Let b0, b1, b2, be defined by the formula bn = 4n, for every integer n ≥ 0. Show that this sequence satisfies the recurrence relation bk = 4bk − 1, for every integer k ≥ 1. Let k ≥ 1. Using the formula bk = 4k, write the expression for bk − 1.

Describe the 2 algebraic methods you can use to find the zeros of the function f(t)=-16t^2+400.

Consider a cube that has sides of length l. now consider putting the largest sphere you can inside this cube without any point on the sphere lying outside of the cube. the volume ratio -volume of the sphere/ volume of the cube is 1. 5.2 × 10−1 2. 3.8 × 10−1 3. 1.9 4. 2.5 × 10−1 5. 3.8

Need showing work for this problem 56.25 ×25.80