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• Tangent line
  34 bytes (5 words) - 13:38, 19 October 2012
• Line and surface integrals
  39 bytes (7 words) - 16:24, 19 March 2017
• Line integral
  29 bytes (3 words) - 00:18, 7 October 2012
• Line integrals
  ==Line integrals: flux== providing the mass of a curve of variable density. The third is the ''line integral along an oriented curve'':
  12 KB (2,194 words) - 14:37, 5 December 2017

Page text matches

• Functions
  ...two sets. We chose to speak of locations spaced over an infinite straight line associated with the ''integers'', '''denoted''' by: [[image:markings on a straight line.png| center]]
  151 KB (25,679 words) - 17:09, 20 February 2019
• The derivative
  ...ght see a curved line even after zooming in but it is a virtually straight line. ...''touches'' the curve and is called a ''tangent'' (the Greek for “touch”) line.
  75 KB (13,000 words) - 15:12, 7 December 2018
• Functions of several variables
  ...mn has surfaces but not all of them because some of them fail the vertical line test -- such as the sphere -- and can't be represented by graphs of functio ...previously. Indeed, recall that the ''Tangent Problem'' asks for a tangent line to a curve at a given point. It has been solved for parametric curves in Ch
  97 KB (17,654 words) - 13:59, 24 November 2018
• Classes of functions
  ...are in the same column; and the graph has all dots on the same horizontal line. The value of $y=F(x)$ doesn't vary as $x$ varies; it is ''constant''. The graph of a constant ''numerical'' function is a horizontal line:
  143 KB (24,052 words) - 13:11, 23 February 2019
• Operations on functions
  '''Example (equations).''' Numerical sets are subsets of the real line ${\bf R}$ and some of them came from solving these equations, as their ''so ...al price of $\$14$? The result is two linear relations each representing a line on the $xy$-plane:
  142 KB (23,566 words) - 02:01, 23 February 2019
• Vector fields
  *2. A line segment joining a planet and the Sun sweeps out equal areas during equal in [[image:additivity of line sums.png| center]]
  91 KB (16,253 words) - 04:52, 9 January 2019
• Precalculus
  *1. a line is drawn, the $x$-''axis''; *2. one of the two direction on the line is chosen as ''positive'', then the other is ''negative'';
  100 KB (16,148 words) - 20:04, 18 January 2017
• Differential calculus of parametric curves
  Recall that the ''Tangent Problem'' asks for a tangent line to a curve at a given point. It has been solved for the graphs of numerical '''Example (straight line).''' Linear motion is represented as follows:
  130 KB (22,842 words) - 13:52, 24 November 2018
• Applications of differential calculus
  In other words, we find the intersection of the tangent line with the $x$-axis: ...ut to $2\pi,\ 100\pi$, etc. If we choose $x_0=\pi /2$ exactly, the tangent line is horizontal, failure... $\square$
  59 KB (10,063 words) - 04:59, 21 February 2019
• Functions in higher dimensions
  ...nal cases when $P$ and $Q$ lie on the same vertical or the same horizontal line (and the triangle “degenerate” into a segment) are treated separately. ...ce Formula for the plane gives us the distance measured ''along a straight line'' as if we are walking through a field. But what if we are walking through
  113 KB (19,680 words) - 00:08, 23 February 2019
• Calculus of sequences
  ==The real number line== We visualize these as markings on a straight line, according to the order of the planks:
  113 KB (18,425 words) - 13:42, 8 February 2019
• Calculus exercises: part III
  Find a tangent line to the curve parametrized by $f$ at the point $t=2$. ...Therefore, it suffices to simply use $f'(2)$ as a direction vector for the line. Further,
  46 KB (8,035 words) - 13:50, 15 March 2018
• Manifolds
  ...vation that the light from a star passing the sun deviates from a straight line may be considered as evidence in support of this idea: ...arrive to the idea of a locally Euclidean space. The main examples are the line and the circle.
  51 KB (8,919 words) - 01:58, 30 November 2015
• Applications of integral calculus
  ...demonstrated for the special case when such a region is cut by a vertical line: This case is illustrated below (the line is $x=b$):
  103 KB (18,460 words) - 01:01, 13 February 2019
• Systems of ODEs
  *the horizontal line $y=\alpha/\beta$ is crossed vertically by the solutions. *the vertical line $x=\gamma/\delta$ is crossed horizontally by the solutions.
  63 KB (10,958 words) - 14:27, 24 November 2018
• Vector and complex variables
  In fact, either equation is a representations of a line on the plane. Then the solution $(x,y)=(4,2)$ is the point of their interse A ''flip about the line $x=y$'' that appeared in the context of finding the graph of the inverse fu
  113 KB (18,750 words) - 02:33, 10 December 2018
• More on vector spaces
  '''Theorem:''' A straight line in ${\bf R}^2$ is a subspace if and only if it contains $0$. Suppose $V$ is a vectors space, what is a ''line in a vector space''?
  14 KB (2,471 words) - 21:48, 5 September 2011
• Calculus exercises: part I
  *The graph of a function $f$ is given below. Find an equation of the line secant to the graph at $(0,-1)$. *The secant line of the sign function are shown below. What do they tell you about the diffe
  49 KB (8,436 words) - 17:14, 8 March 2018
• Several variables
  ...he curve isn't the graph of any function of one variable as the ''Vertical Line Test'' is violated. $\square$ ...f change'' (also known as the difference quotient, the slope of the secant line, etc.):
  76 KB (13,017 words) - 20:26, 23 February 2019
• Derivative as a limit
  ''Derivative'' is the [[slope]] of the [[tangent line]]. But what ''is'' the tangent line? (Silly answer: Line the slope of which is equal to the derivative).
  5 KB (857 words) - 13:57, 25 May 2011

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