Solar cookers provide an altemative form of cooking in regions of the world where consistent sources of fuel are not readily available. Suppose that a 36-in. solar cooker has parabolic cross sections. A coordinate system is chosen with the origin placed at the vertex of a cross section through the center of the mirror. The equation of the parabola is modeled by x = 82y, where x and y are measured in inches. a. Where should a pot be placed to maximize heat? That is, where is the focus? b. Determine the equation of the directrix.

Solar cookers provide an altemative form of cooking in regions of the world where consistent sources of fuel are not readily available. Suppose that a 36-in. solar cooker has parabolic cross sections. A coordinate system is chosen with the origin placed at the vertex of a cross section through the center of the mirror. The equation of the parabola is modeled by x = 82y, where x and y are measured in inches. a. Where should a pot be placed to maximize heat? That is, where is the focus? b. Determine the equation of the directrix.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.2: Determinants

Problem 15AEXP

See similar textbooks

Similar questions

A spotlight is made by placing a strong light bulb inside a reflective paraboloid formed by rotating the parabola x2=3y around its axis of symmetry (assume that x and y are in units of inches). In order to have the brightest, most concentrated light beam, how far from the vertex should the bulb be placed? Express your answer as a fraction or a decimal rounded to two decimal places.
If a parabola y=ax2+ky=ax2+k has vertex (0,−1)(0,−1) and passes through the point (4,2)(4,2). What would be the corresponding equation?
What are the coordinates of the vertices of △A′B′C′ after a reflection across a line through point P with a y-intercept at y=−2 followed by translation T3,3?
What are the coordinates of the vertices of△A′B′C′after a reflection across a line through point P with a y-intercept at y=−2 followed by translation T3,3?
Show that the system of confocal and co-axial parabolas y²-4a(a+x) is self orthogonal, where a is parameter.
2. What is the equation of the directrix of the parabola having a vertex at (6,0), passing through (2,1) and whose axis is parallel to the y-axis? a. y + 4 = 0 b. y - 4 = 0 c. x + 4 = 0 d. x - 4 = 0