Skip to main content
HomeMATHalinoEngineering Math Review

Search form

Login • Register

  • Home
    • Recent
    • Glossary
    • About
  • Algebra
    • Derivation of Formulas
    • Engineering Economy
    • General Engineering
  • Trigo
    • Spherical Trigonometry
  • Geometry
    • Solid Geometry
    • Analytic Geometry
  • Calculus
    • Integral Calculus
    • Differential Equations
    • Advance Engineering Mathematics
  • Mechanics
    • Strength of Materials
    • Structural Analysis
  • CE
    • CE Board: Math
    • CE Board: Hydro Geo
    • CE Board: Design
    • Surveying
    • Hydraulics
    • Timber Design
    • Reinforced Concrete
    • Geotechnical Engineering
  • Courses
    • Exams
    • Old MCQ
  • Forums
    • Basic Engineering Math
    • Calculus
    • Mechanics
    • General Discussions
  • Blogs

Breadcrumbs

You are here:

  1. Home
  2. Parametric Equations

Parametric Equations

Equivalent Cartesian Equation of Parametric Equations

Problem
Find the Cartesian equation of the curve represented by $x = 4t + 3$ and $y = 16t^2 - 9$, -∞ < t < +∞.

A.   $y = x^2 + 6x$ C.   $y = x^2 + 4x$
B.   $y = x^2 - 6x$ D.   $y = x^2 - 4x$

 

  • Read more about Equivalent Cartesian Equation of Parametric Equations
  • Log in or register to post comments

Find y’ if x = 2 arccos 2t and y = 4 arcsin 2t

Problem
Find y’ if x = 2 arccos 2t and y = 4 arcsin 2t.

A.   2 C.   4
B.   -2 D.   -4

 

  • Read more about Find y’ if x = 2 arccos 2t and y = 4 arcsin 2t
  • Log in or register to post comments

Slope of a Curve of Given Parametric Equations

Problem
A point moves in the plane according to equations x = t2 + 2t and y = 2t3 - 6t. Find dy/dx when t = 0, 2, 5.

A.   -3, -3, -12 C.   3, 3, 12
B.   3, -3, 12 D.   -3, 3, 12

 

  • Read more about Slope of a Curve of Given Parametric Equations
  • Log in or register to post comments

Cycloid: equation, length of arc, area

Problem
A circle of radius r rolls along a horizontal line without skidding.

  1. Find the equation traced by a point on the circumference of the circle.
  2. Determine the length of one arc of the curve.
  3. Calculate the area bounded by one arc of the curve and the horizontal line.
cycloid_small_02.gif

 

  • Read more about Cycloid: equation, length of arc, area
  • Log in or register to post comments
Home • Forums • Blogs • Glossary • Recent
About • Contact us • Terms of Use • Privacy Policy • Hosted by Linode • Powered by Drupal
MATHalino - Engineering Mathematics • Copyright 2025 Jhun Vert • All rights reserved