For Exercises 5-22, solve Δ A B C subject to the given conditions if possible. Round the lengths of sides and measures of the angles (in degrees) to 1 decimal place if necessary. (See Example 1-2) b = 89.2 , c = 23.1 , A = 108 °
For Exercises 5-22, solve Δ A B C subject to the given conditions if possible. Round the lengths of sides and measures of the angles (in degrees) to 1 decimal place if necessary. (See Example 1-2) b = 89.2 , c = 23.1 , A = 108 °
Solution Summary: The author calculates the remaining angles and length of the side of a triangle with the given values b=89.2, c=23.1, and A=108°.
For Exercises 5-22, solve
Δ
A
B
C
subject to the given conditions if possible. Round the lengths of sides and measures of the angles (in degrees) to
1
decimal place if necessary. (See Example 1-2)
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 apply the law of sines to find the remaining parts of a triangle; Author: Brian McLogan;https://www.youtube.com/watch?v=NdRF18HWkmE;License: Standard YouTube License, CC-BY