PRECALCULUS SUPPLEMENTARY IV

# PRECALCULUS SUPPLEMENTARY IV - AP CALCULUS PRECALCULUS...

This preview shows pages 1–2. Sign up to view the full content.

AP CALCULUS PRECALCULUS SUPPLEMENTARY IV Problems : 1) Solve the following linear system: abcd bcde cdea deab eabc + + + = ++ += +++= 10 9 8 7 6 Hint : Add all the equations simultaneously and back substitute the result into each respective equation. 2) Let ABCD be a square and let point E be on AB such that the area of Δ ADE is 1 3 of the area of square ABCD . Find the value of AE AB . 3) a) Factor into a product of two quadratic factors with real integer coefficients. () fx x x x =−+− 42 69 Hint : Think difference of squares. A B C D E b) Are the roots of real or imaginary? Justify your answer. fx 4) In Δ ABC , D is the foot of the altitude to AC and E is the midpoint of the same side (see diagram to the right). Prove that ( )( ) AB BC ED AC 22 2 −= . 5) Consider Δ ABC with sides a , b and c . If a bca 2 333 = +− , then what is the value of ? CAB Hints: a) You will need the sum of cubes formula: ( ) xy x y xx y y 33 2 2 +=+ −+ b) You will need to use the Cosine Law.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 07/27/2010 for the course MATH MATH 1025 taught by Professor Tanny during the Spring '09 term at York University.

### Page1 / 3

PRECALCULUS SUPPLEMENTARY IV - AP CALCULUS PRECALCULUS...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online