(a) Obviously,

**r**≥ 0. (b) We know that 2π**r**^2 + 16π**r**= A and we can solve fo**r**... 2π (**r**^2 + 8**r**+ 16) - 32π = A [completing the squa**r**e] 2π (**r**+ 4)^2 = A + 32π (**r**+ 4)^2 = (A/(2π)) + 16 [dividing each side...1 Answe

**r**s · Science & Mathematics · 12/01/2021... equation fo

**r**the volume of a cylinde**r**is: V = π**r**²h we have**r**and h so all that's left is to substitute and simplify: V = π(14...3 Answe

**r**s · Science & Mathematics · 20/01/2021dV/dt = 9 V = (pi/3) *

**r**^2 * h h = (3/8) * d = (3/8) * 2r = (3/4) ***r**V = (pi/3) ***r**^2 * (3/4) ***r**...64) * dr/dt 1 = (3 * 49 * pi / 64) * dr/dt 64 / (147 * pi) = dr/dt V = (pi/3) ***r**^2 * h h = (3/4) ***r**(4/3) * h =**r**V = (pi/3) * (4/3)^2 * h^2 * h V...2 Answe

**r**s · Science & Mathematics · 15/01/2021B(t) = B(0) x (1 +

**r**)ᵗ He**r**e, B(0) is the initial balance,**r**is the...2 Answe

**r**s · Science & Mathematics · 13/01/2021The volume, V, of a sphe

**r**e in te**r**ms of its**r**adius,**r**, is given by V(**r**) = 4/3π**r**^3. Exp**r**ess**r**as...3 Answe

**r**s · Science & Mathematics · 06/01/2021V= (4/3)π

**r**^3**r**^3= 3V/(4π)**r**(V)= [3V/(4π)]^(1/3)**r**(150)= 3.30 ft1 Answe

**r**s · Science & Mathematics · 07/01/2021... similar triangles so that we can establish a relationship between

**r**and h at any point in time. h/**r**= 4/50 or 25h = 2r or**r**= (25/2)h Now we...1 Answe

**r**s · Science & Mathematics · 15/01/2021The formula is: FV = P(1 +

**r**)^t FV : Future value P : original principal (500)**r**: annual interest...1 Answe

**r**s · Science & Mathematics · 10/01/2021... equation you need for this problem is: M = Pr / [ 1 - (1 +

**r**)^(-n)] Where: M = monthly payment (unknown) P = principal amount (150000...3 Answe

**r**s · Science & Mathematics · 13/01/2021...usage,

**r**est and**r**emainde**r**can have the same meaning. In math,**r**would be called the**r**emainde**r**, not**r**est. You can't p**r**ove...2 Answe

**r**s · Science & Mathematics · 18/01/2021