This given problem is from the application of derivative and we have to find out the equation of the tangent line. The tangent of the curve {eq}f(x) {/eq} is: {eq}\ y=mx+b. {/eq} To solve this problem, we need to find out {eq}m {/eq} ...
In the equation y = 2x + 3, the slope is 2, indicating a direct relationship between x and y. 9 Tangent In calculus, the slope of the tangent line to a curve at a particular point. The derivative of a function at a point gives the slope of the tangent at that point. 9 Slope Th...
What is similar across these examples? What is a diagonal relationship in set theory? What similarities and differences do you see between functions and linear equations? Are all linear equations functions? Is there an instance when a linear equation is not a function? Support your ans ...
in geometry, triangles are the type of polygons, which have three sides and three vertices. this is a two-dimensional figure with three straight sides. a triangle is considered a 3-sided polygon. the sum of all the three angles of a triangle is equal to 180°. the triangle is contained...
which in the infinitesimal limit is the familiar . The other rules of Napier can be derived in a similar fashion. Example 3 One application of Napier’s rule (6) is to determine the sunrise equation for when the sun rises and sets at a given location on the Earth, and a given time...
View Solution The point at which the tangent to the curvey=2x2−x+1is parallel to y = 3x+9 will be View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT Solutions for Class 11 English Medium ...
Hence, the cosine of 270 degrees is 0.For tangent of 270 degrees:We are well aware of the identity thattanθ=sinθcosθ Thus, we can writetan270∘=sin270∘cos270∘ We can write270∘as(270∘+0∘). Or, in equation formtan(270∘+0∘...
Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope, but its earliest use in English appears in O'Brien (1844) who wrote the equation of a straight line as "y = mx + b" and it can also be found in Todhunter (...
The nice thing about this latter equation is that the first equation is basically just a formula for and so can be dropped, leaving us with This equation now admits a two-parameter family of scale invariances for , where we use to ednote the coordinate. It also inherits an energy conse...
This is represented by a line that slants downwards to the right on a graph.What is a zero slope?A zero slope means that the line is horizontal, with no change in the y-value as the x-value increases. This is represented by a flat line on a graph, where the equation would be “...