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Unformatted text preview: Math Review 1 G e o m e t r y • Here are some areas of standard geometric figures that you should remember: 1. Triangle A = 1 2 base × height 2. Rectangle A = base × height 3. Circle A = π × radius 2 Triangle Rectangle Circle base base diameter height height radius • The volume of a sphere is 4 3 πR 3 , its surface area is 4 πR 2 . • The circumference of a circle is 2 πR , where R is the radius, or πD , where D is the diameter ( D = 2 R ). • The volume of a right figure is is V = A × h , where h is the height of the figure, and A is the area of the base. If the base is a circle, then we’re talking about a right cylinder and A = πR 2 . If the base is a rectangle, you get the idea. Area height 2 A l g e b r a • Solving linear equations is easy: Ax + B = C implies the solution for x is x = ( C − B ) /A . Solving quadratic equations: Ax 2 + Bx + C = 0 implies x = − B ± √ B 2 − 4 AC 2 A . • Solving a system of 2 equations with 2 unknowns: if A 1 x + B 1 y = C 1 A 2 x + B 2 y = C 2 (where the A i ’s, etc., are constants) then you can “solve” the first equation for’s, etc....
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- Fall '07
- Trigonometry, Mathematical analysis, dx dt dt