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Get Full Access to Mathematics For The International Student: Mathematics Sl - 3 Edition - Chapter 25 - Problem 58
Get Full Access to Mathematics For The International Student: Mathematics Sl - 3 Edition - Chapter 25 - Problem 58

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# [PQ] is the diameter of a semi-circle with centre O and radius 5 cm. a Find the area of

ISBN: 9781921972089 446

## Solution for problem 58 Chapter 25

Mathematics for the International Student: Mathematics SL | 3rd Edition

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Problem 58

[PQ] is the diameter of a semi-circle with centre O and radius 5 cm. a Find the area of triangle PQR. b Hence, find the shaded area A in terms of the angle . c Find the maximum and minimum values of the area A, and the values of when they occur.

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Introduction to Vectors Part 3 Saadiq Shaik September 2016 1 Lines in Space Vectors and lines are highly related. A line in space can be written as a vector equation r = r0+ tL where r represents a vector and 0 represents a vector with a point on the line l. t represents a coe▯cient to L, which is a line parallel to l. Example 1 Find a vector equation of the line that contains (-1, 4, 0) and is parallel to 2i - 3j - 2k Solution Putting the vectors in unit vector form, we get r = ▯i + 4j 0 L = 2i ▯ 3j ▯ 2k and end up with r = (▯i + 4j) + t(2i ▯ 3j ▯ 2k) t is also known as a parameter, and the vector equation can be rewritten as three parametric equations of l x = x0+ at;y = y0+ bt;z = z0+ ct 1 and solving for t leads to the three symmetric equations of l x ▯ x0 y ▯ y0 z ▯ z0 = = a b c The distance from a point 1 to a line is given by the formula jjL ▯ P P jj D = 0 1 jjLjj where L is the same parallel line and P is a point on the line. 0 Example 2 Find the distance between the point (1, 2, 3) and the line from example 1. Solution P1is (1;2;3), 0 is (

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##### ISBN: 9781921972089

This full solution covers the following key subjects: . This expansive textbook survival guide covers 25 chapters, and 453 solutions. The full step-by-step solution to problem: 58 from chapter: 25 was answered by , our top Math solution expert on 03/15/18, 06:04PM. This textbook survival guide was created for the textbook: Mathematics for the International Student: Mathematics SL, edition: 3. Mathematics for the International Student: Mathematics SL was written by and is associated to the ISBN: 9781921972089. Since the solution to 58 from 25 chapter was answered, more than 228 students have viewed the full step-by-step answer. The answer to “[PQ] is the diameter of a semi-circle with centre O and radius 5 cm. a Find the area of triangle PQR. b Hence, find the shaded area A in terms of the angle . c Find the maximum and minimum values of the area A, and the values of when they occur.” is broken down into a number of easy to follow steps, and 52 words.

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