Pre-Calc Homework Solutions 5

Pre-Calc Homework Solutions 5 - Section 1.1 4 3 0 0 4 . 3 5...

Info iconThis preview shows page 1. Sign up to view the full content.

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

Unformatted text preview: Section 1.1 4 3 0 0 4 . 3 5 51. The radius through (3, 4) has slope The tangent line is tangent to this radius, so its slope is y y y 3 (x 4 3 x 4 3 x 4 1 4/3 3 . We seek the line of slope 4 3 that passes through (3, 4). 4 3) 9 4 25 4 4 4 52. (a) The equation for line L can be written as y y A x B B (x A C , so its slope is B A . The perpendicular line has slope B 1 A/B B and passes through (a, b), so its equation is A a) B A b. a) b ABb B2)x x b for y in the equation for line L gives: C AC B2 a B2 a (b) Substituting (x Ax Ax 2 B 2 B (x A a) a) B (x (A2 AC ABb AC ABb A2 B 2 Substituting the expression for x in the equation for line L gives: A By By By y B2 a AC ABb By C A2 B 2 A(B2a AC ABb) C(A2 B2) 2 2 A B A2 B 2 2 2 2 2 AB a A C A Bb A C B2C A2 B2 A2Bb A2 b B2C AB2a A2 B2 BC ABa A2 B2 B2a A AC 2 The coordinates of Q are (c) Distance (x B2a B2a AC A(C A2 ABb A2b B 2 , BC ABa . A2 B2 a)2 (y b)2 2 AC ABb A2 B 2 AC a A2 b B2) 2 BC ABa A2 B 2 A2b BC 2 b ABa b(A2 A2 B2 B2 ) 2 ABb a(A2 A2 B2 BC B(C A Bb A 2 a 2 B2 A 2 ABa B2b 2 B2 A 2 Bb B2 Aa) 2 Aa A2 B2 Bb) 2 A2(C Aa Bb)2 (A2 B2)2 (A2 (C A C Aa A B2)(C Aa (A2 B2)2 Aa 2 B2(C Aa Bb)2 (A2 B2)2 Bb)2 Bb)2 B 2 Aa A2 Bb 2 Bb B2 C B 2 ...
View Full Document

This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.

Ask a homework question - tutors are online