Purchase Solution

Horizontal and vertical line on a polar curve

Not what you're looking for?

Ask Custom Question

Find the points on the given curve where the tangent line is horizontal.

Find the points on the given curve where the tangent line is vertical.

r = e^theta
where theta is between zero and 2 pi.

Purchase this Solution
Solution Summary

This solution shows how to find the points on the given curve where the tangent line is horizontal and when it is vertical.

Solution Preview

** Please see the attached file for a Word formatted copy of the solution response **

r=e^θ
The slope is defined as dy/dx which is the same thing as (dy/dθ)/(dx/dθ)
The tangent ...

Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Exponential Expressions

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

Probability Quiz

Some questions on probability

Solving quadratic inequalities

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

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

View More Free Quizzes
Related BrainMass Solutions

  • Polar Curves : Find the slope of the tangent line

    73145 Polar Curves : Find the slope of the tangent line to the given polar curve at the point specified ; Find the points on the given curve where the tan line is horizontal or vertical. Give step by step answers with solutions and answers.

  • Drawing Graph with Asymptotes

    slant asymptote: y = 3x +2 An asymptote is a line or curve that approaches a given curve(s) arbitrarily closely.

  • Profit Maximizing Price in Market Structure

    (a) The MR curve starts from the top point of the demand curve and goes to half the width on the horizontal axis. The MC curve is a straight horizontal line at P = 6.

  • Trigonometry and conic sections

    117834 Trigonometry Questions Give a polar equation for the curve whose graph is a vertical line that passes 3 units to the right of the origin.

  • Polar Coordinates (25 Problems)

    ., the point of intersection of the horizontal and vertical axes) counterclockwise from the right branch of the horizontal axis using a protractor.

  • Parametric Curves

    For the parametric curve given by: x = e^(sqrt(t)) , y = t - ln(t^2) (a) find an equation of the tangent line to this curve at the point corresponding to t=1. (b) For what values of f is the tangent line vertical?

  • Simple ways to remember the shape of curves

    Equilibrium Graph: The word price has a vertical line in the letter 'P,' so price is always on the vertical axis/y-axis. Since price is on the y-axis, quantity (the other variable in equilibrium graphs) is on the horizontal axis.

  • Polar Curve Example Problem

    458789 Polar Curve Example Problem How do I show that the polar curve r = 4 + 2 sec(theta) has the line x = 2 as a vertical asymptote by showing that lim r->+/1 infinity of x = 2?

  • Supply & Demand Problems

    a) The demand curve intersects the vertical axis at +10 and the supply curve intersects the vertical axis at 0. Write down the equation of both of these lines in the form q = a+bp. What are the equilibrium values of price and quantity?

View More Related Solutions