Wind Chill Factor The data represent the wind speed ( m p h ) and the wind chill factor at an air temperature of 15 ° F . Wind Speed (mph) Wind Chill Factor (°F) 5 7 10 3 15 0 20 − 2 25 − 4 30 − 5 35 − 7 Source: U.S. National Weather Service Using a graphing utility, draw a scatter plot with wind speed as the independent variable. Using a graphing utility, build a logarithmic model from the data. Using a graphing utility, draw the logarithmic function found in part (b) on the scatter plot. Use the function found in part (b) to predict the wind chill factor if the air temperature is 15 ° F and the wind speed is 23 mph .
Wind Chill Factor The data represent the wind speed ( m p h ) and the wind chill factor at an air temperature of 15 ° F . Wind Speed (mph) Wind Chill Factor (°F) 5 7 10 3 15 0 20 − 2 25 − 4 30 − 5 35 − 7 Source: U.S. National Weather Service Using a graphing utility, draw a scatter plot with wind speed as the independent variable. Using a graphing utility, build a logarithmic model from the data. Using a graphing utility, draw the logarithmic function found in part (b) on the scatter plot. Use the function found in part (b) to predict the wind chill factor if the air temperature is 15 ° F and the wind speed is 23 mph .
Using a graphing utility, draw a scatter plot with wind speed as the independent variable.
Using a graphing utility, build a logarithmic model from the data.
Using a graphing utility, draw the logarithmic function found in part (b) on the scatter plot.
Use the function found in part (b) to predict the wind chill factor if the air temperature is
15
°
F
and the wind speed is
23
mph
.
Definition Definition Representation of the direction and degree of correlation in graphical form. The grouping of points that are plotted makes it a scatter diagram. A line can be drawn showing the relationship based on the direction of points and their distance from each other.
Consider the function f(x) = x²-1.
(a) Find the instantaneous rate of change of f(x) at x=1 using the definition of the derivative.
Show all your steps clearly.
(b) Sketch the graph of f(x) around x = 1. Draw the secant line passing through the points on the
graph where x 1 and x->
1+h (for a small positive value of h, illustrate conceptually). Then,
draw the tangent line to the graph at x=1. Explain how the slope of the tangent line relates to the
value you found in part (a).
(c) In a few sentences, explain what the instantaneous rate of change of f(x) at x = 1 represents in
the context of the graph of f(x). How does the rate of change of this function vary at different
points?
1. The graph of ƒ is given. Use the graph to evaluate each of the following values. If a value does not exist,
state that fact.
и
(a) f'(-5)
(b) f'(-3)
(c) f'(0)
(d) f'(5)
2. Find an equation of the tangent line to the graph of y = g(x) at x = 5 if g(5) = −3 and g'(5)
=
4.
-
3. If an equation of the tangent line to the graph of y = f(x) at the point where x 2 is y = 4x — 5, find ƒ(2)
and f'(2).
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
How to determine the difference between an algebraic and transcendental expression; Author: Study Force;https://www.youtube.com/watch?v=xRht10w7ZOE;License: Standard YouTube License, CC-BY