There are several ways in which you can find the slope of a tangent to a function. These include actually drawing a plot of the function and the tangent line and physically measuring the slope and also using successive approximations via secants. However, for simple algebraic functions, the qu...
What is the slope of the secant line of the function y=−2x2+3x−1 between x=2 and x=6? Secant Lines: For our functionf(x)=y=−2x2+3x−1, the slope of the secant line between x=2 and x=6 is given by m=f(6)−f(2)6−2. Secant...
To study the position of one line relative to another, we must compare their slopes. For example, two secant lines are those whose angle is different fromθ=π2. Answer and Explanation:1 L1:7x+y=9. We must solve fory. So we have ...
The slope is computed as the ratio of the change in the y-axis to the change in the x-axis. The slope of a straight line will describe the line’s angle of steepness from the horizontal whether it rises or falls. When the line neither rises nor falls, then its slope will be zero....
(a) Find the slope of the line tangent to f (x) at x = 1. (b) Find the equation of the tangent line to f (x) at x = 1.Consider the function f(x) = \dfrac{1}{\sqrt{x. \\ A. Find the slope of the secant line m_{\sec} = \dfrac{f(a + h) - f(a)...
secant line passes through the first and the last point of the function, so by finding one of these points using \( (x,f(x)) \) for our function, and using point-slope form, (with the slope being average rate of change of the function in the interval), we get the equation for ...
and γsat and γm are the saturated and moist unit weights of the soil below and above the seepage line. The above equation may be readily reformulated to determine the critical depth of the failure surface in a c’-φ’ soil for any seepage condition. ...
In Chapter 4 of Scanning Electron Microscopy and X-Ray Microanalysis by J. Goldstein et al., Plenum Publishing 1992, the secondary electron emission is said to vary approximately as a secant function. If θ is the angle between the incident beam and a line normal to the sample surface, whic...
a. The line {eq}y - 2x + 1=0{/eq} has {eq}m{/eq}- and {eq}b{/eq}- b. The line passing through {eq}(1, -3){/eq} parallel to {eq}-3y-4x -4=0{/eq} has slope {eq}m{/eq} - _ intercept {eq}b{/eq} - _ Strai...
The slope function of the given implicit curve can be found by differentiating the given equation by applying the technique of implicit differentiation. We'll then put the value of x and y into the differentiated equation so that we can get the num...