Finding an Equation of a Tangent Line In Exercises 45-50, (a) find an equation of the tangent line to the graph of the function at the given point, (b) use a graphing utility to graph the function and its tangent line at the point, and (c) use the tangent feature of a graphing utility to confirm your results. See Example 10. y = − 2 x 4 + 5 x 2 − 3 ; ( 1 , 0 )
Finding an Equation of a Tangent Line In Exercises 45-50, (a) find an equation of the tangent line to the graph of the function at the given point, (b) use a graphing utility to graph the function and its tangent line at the point, and (c) use the tangent feature of a graphing utility to confirm your results. See Example 10. y = − 2 x 4 + 5 x 2 − 3 ; ( 1 , 0 )
Finding an Equation of a Tangent Line In Exercises 45-50, (a) find an equation of the tangent line to the graph of the function at the given point, (b) use a graphing utility to graph the function and its tangent line at the point, and (c) use the tangent feature of a graphing utility to confirm your results. See Example 10.
In Exercises 43 and 44, graph the functions. Notice in each case
that the numerator and denominator contain at least one com-
mon factor. Thus you can simplify each quotient; but don't lose
track of the domain of the function as it was initially defined.
x + 2
x²
-
4
43. (a) y
(b) y =
(c) y =
X + 2
X-2
X-1
(x - 1)(x-2)
A helicopter takes off from the roof of a building that is 175 feet above the ground. The altitude of the helicopter increases by 150 feet each minute.
(a) Use a formula to express the altitude of a helicopter as a function of time. (Let t be the time in minutes since takeoff and A the altitude in feet.)
A = 175 + 150t
(b) Express using functional notation the altitude of the helicopter 210 seconds after takeoff.
A(2.5
x )
Calculate that value. (Round your answer to the nearest foot.)
ft
Using the ELMS "Insert Math Equation", write an equation for the function f (x) = 4°
that is shifted down 3 units and 5 units to the right, reflected across the x-axis, and
vertically compressed by a factor of =
Edit View
Insert
Format Tools Table
12pt v
Paragraph v
BIUA
Chapter 2 Solutions
Bundle: Calculus: An Applied Approach, Loose-Leaf Version, 10th + WebAssign Printed Access Card for Larson's Calculus: An Applied Approach, 10th Edition, Single-Term
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Differential Equation | MIT 18.01SC Single Variable Calculus, Fall 2010; Author: MIT OpenCourseWare;https://www.youtube.com/watch?v=HaOHUfymsuk;License: Standard YouTube License, CC-BY