# Maxima and Minima

## 04 Largest Right Triangle of Given Hypotenuse

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## 03 Maximum Revenue for Tour Bus of 80 Seats

**Problem**

A tour bus has 80 seats. Experience shows that when a tour costs P28,000, all seats on the bus will be sold. For each additional P1,000 charged, however, 2 fewer seats will be sold. Find the largest possible revenue.

A. P29,000

B. P28,500

C. P28,900

D. P28,700

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## Trapezoidal gutter made from 24 m wide iron sheet

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## 01 Minimum length of cables linking to one point

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## 01 Maximum area of triangle of given perimeter

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## Length of one side for maximum area of trapezoid (solution by Calculus)

## 55 - Greatest angle subtended by a picture

**Problem 55**

The lower edge of the picture is a ft, the upper edge is b ft, above the eye of an observer. At what horizontal distance should he stand, if the vertical angle subtended by the picture is to be greatest?

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## Problems in Caculus Involving Inverse Trigonometric Functions

The following are problems involving inverse trigonometric functions.

## 26-27 Horizontal rod entering into a room from a perpendicular corridor

**Problem 26**

A corridor 4 ft wide opens into a room 100 ft long and 32 ft wide, at the middle of one side. Find the length of the longest thin rod that can be carried horizontally into the room.