# Tutor profile: Alec D.

## Questions

### Subject: Geometry

Find the area of a cylinder with a base diameter = 7in and a height = 14in

We will use the formula for area of a cylinder = 2(pi)r^2+2(pi)rh 2(3.14)((7/2)^2) + 2(3.14)(7/2)(14) = 76.93 + 307.72 = 384.65 in ^2

### Subject: Calculus

Find the Derivative: F(x) = (5x^2+9x)^3

Solve using the Chain Rule: F(G(x)) where G(x) = 5x^2+9x F'(x) = 3(5x^2 +9x)^2(10x+9)

### Subject: Algebra

Solve for X: 5x^2+3x-35=0

We are going to use the quadratic equation to solve this problem. x = (-b +/- sqrt(b^2-4ac))/2a First lets define the parts of the formula: A = 5 B = 3 C = -35 Next lets plug our values into the formula: (-3 +/- sqrt((-3)^2-4(5)(-35)))/(2(5)) and simplify (-3 +/- sqrt(9+700))/(10) ==> -3 + 26.627 / 10 or -3 - 26.627 / 10 solve X = 2.363 or -2.963 Double Check our work: 5(2.363)^2 + 3(2.363) - 35 = 27.919 + 7.089 - 35 = 0 5(-2.963)^2 + 3(-2.963) - 35 = 43.897 - 8.889 - 35 = 0

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