Purchase Solution

Derivatives, Tangent Lines and Rates of Change

Not what you're looking for?

1. A curve has the equation x²-4xy+y²=24
a) Show that
dy/dx= (x-2y)/(2x-y)

b) find the equation for the tangent to the curve at the point P (2, 10)
The tangent to the curve at Q is parrallel to the tangent at P
c) find the coordinates of Q

2. The diagram shows the coss-section of a vase. The volume of the water
in the vase, V cm³, when the depth of water in the vase is h cm is given by
V=40 pi (e^0.1 h^-1)
The vase is initially empty and water is poured into it at a constant rate
of 80 cm³s-¹
Find the rate at which the depth of water in the vase is increasing
a) when h=4

Solution Summary

Derivatives, Tangent Lines and Rates of Change are investigated. The solution is detailed and well presented.

Free BrainMass Quizzes

This quiz test you on how well you are familiar with solving quadratic inequalities.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Probability Quiz

Some questions on probability

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.