Q: The decay constant for the radioactive element cesium 137 is .023
The decay constant for the radioactive element cesium 137 is .023 when time is measured in years. Find its half-life.
See AnswerQ: Find an equation of the tangent line to the graph of f
Find an equation of the tangent line to the graph of f (x) = ex, where x = -1. (Use 1/e = .37.)
See AnswerQ: Show that d/dx (2.7x) |x
Show that d/dx (2.7x) |x=0 ≈ .99 by calculating the slope (2.7h – 1)/h of the secant line passing through the points (0, 1) and (h, 2.7h). Take h = .1, .01, and .001.
See AnswerQ: Find the point on the graph of f (x) =
Find the point on the graph of f (x) = ex, where the tangent line is parallel to y = x.
See AnswerQ: Use the first and second derivative rules from Section 2.2
Use the first and second derivative rules from Section 2.2 to show that the graph of y = ex has no relative extreme points and is always concave up.
See AnswerQ: Estimate the slope of ex at x = 0 by calculating the
Estimate the slope of ex at x = 0 by calculating the slope (eh – 1)/h of the secant line passing through the points (0, 1) and (h, eh). Take h = .01, .001, and .0001.
See AnswerQ: Suppose that A = (a, b) is a point
Suppose that A = (a, b) is a point on the graph of ex. What is the slope of the graph of ex at the point A?
See AnswerQ: Differentiate the function. y = (x + 11 /
Differentiate the function. y = (x + 11 / x – 3)3
See AnswerQ: Find the slope–point form of the equation of the tangent
Find the slope–point form of the equation of the tangent line to the graph of ex at the point (a, ea).
See Answer
