Download presentation

1
**5.5 Section 4.6 – Related Rates**

I can use implicit differentiation to solve related rate word problems. Day 1: Find the slope the following at x = 1: 5.5

6
**The ladder is moving away at a rate of**

A 14 foot ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of 2 ft/s, how fast will the end be moving away from the wall when the top is 6 ft above the ground? x y L 14 6 The ladder is moving away at a rate of

7
A man 6 ft tall is walking at a rate of 2 ft/s toward a street light 16 ft tall. At what rate is the size of his shadow changing? x y 16 6 The size of his shadow is reducing at a rate of 6/5.

8
A boat whose deck is 10 ft below the level of a dock, is being drawn in by means of a rope attached to a pulley on the dock. When the boat is 24 ft away and approaching the dock at ½ ft/sec, how fast is the rope being pulled in? 24 x y R -10 26 The rope is being pulled in at a rate of 6/13

9
A pebble is dropped into a still pool and sends out a circular ripple whose radius increases at a constant rate of 4 ft/s. How fast is the area of the region enclosed by the ripple increasing at the end of 8 seconds. At t = 8, r = (8)(4) = 32 The area is increasing at a rate of

10
A spherical container is deflated such that its radius decreases at a constant rate of 10 cm/min. At what rate must air be removed when the radius is 5 cm? 5 Air must be removed at a rate of

11
A ruptured pipe of an offshore oil platform spills oil in a circular pattern whose radius increases at a constant rate of 4 ft/sec. How fast is the area of the spill increasing when the radius of the spill is 100 ft? The area of the spill is increasing at a rate of

12
Sand pours into a conical pile whose height is always one half its diameter. If the height increases at a constant rate of 4 ft/min, at what rate is sand pouring from the chute when the pile is 15 ft high? 15 15 The sand is pouring from the chute at a rate of

13
**The depth of the liquid is decreasing at a rate of**

Liquid is pouring through a cone shaped filter at a rate of 3 cubic inches per minute. Assume that the height of the cone is 12 inches and the radius of the base of the cone is 3 inches. How rapidly is the depth of the liquid in the filter decreasing when the level is 6 inches deep? 3 r 12 h The depth of the liquid is decreasing at a rate of

14
6

15
**If and x is decreasing at the rate of 3 units per second,**

the rate at which y is changing when y = 2 is nearest to: a. –0.6 u/s b. –0.2 u/s c u/s d u/s e u/s

16
When a wholesale producer market has x crates of lettuce available on a given day, it charges p dollars per crate as determined by the supply equation If the daily supply is decreasing at the rate of 8 crates per day, at what rate is the price changing when the supply is 100 crates?

Similar presentations

OK

1. Read the problem, pull out essential information and identify a formula to be used. 2. Sketch a diagram if possible. 3. Write down any known rate of.

1. Read the problem, pull out essential information and identify a formula to be used. 2. Sketch a diagram if possible. 3. Write down any known rate of.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on porter's five forces model analysis Ppt on natural disaster flood Ppt on conservation of environment for kids Ppt on biodegradable and non biodegradable materials problems Ppt on media revolution ministries Ppt on business etiquettes training day movie Ppt on standing order forms Ppt on diode family matters Ppt on natural resources and conservation in south Ppt on suspension type insulators and conductors