Using the Point-Slope Form In Exercises 53–60, find an equation of the line that passes through the given point and has the given slope. Then sketch the line. See Example 5 . P o i n t S l o p e ( 3 2 , 0 ) m = − 1 6
Using the Point-Slope Form In Exercises 53–60, find an equation of the line that passes through the given point and has the given slope. Then sketch the line. See Example 5 . P o i n t S l o p e ( 3 2 , 0 ) m = − 1 6
Solution Summary: The author calculates the equation of the line that passes through the point (32,0) and slopes it.
Using the Point-Slope Form In Exercises 53–60, find an equation of the line that passes through the given point and has the given slope. Then sketch the line. See Example 5.
P
o
i
n
t
S
l
o
p
e
(
3
2
,
0
)
m
=
−
1
6
Formula Formula Point-slope equation: The point-slope equation of a line passing through the point (x 1 , y 1 ) with slope m , is given by the following formula: y - y 1 = m x - x 1 Example: The point-slope equation of a line passing through (2, -6) with slope 5 is given by: y - (-6) = 5(x - 2) y + 6 = 5(x - 2)
Use the information to find and compare Δy and dy. (Round your answers to four decimal places.)
y = x4 + 7 x = −3 Δx = dx = 0.01
Δy =
dy =
4. A car travels in a straight line for one hour. Its velocity, v, in miles per hour at six minute intervals is shown
in the table. For each problem, approximate the distance the car traveled (in miles) using the given method,
on the provided interval, and with the given number of rectangles or trapezoids, n.
Time (min) 0 6 12 18|24|30|36|42|48|54|60
Speed (mph) 0 10 20 40 60 50 40 30 40 40 65
a.) Left Rectangles, [0, 30] n=5
b.) Right Rectangles, [24, 42] n=3
c.) Midpoint Rectangles, [24, 60] n=3
d.) Trapezoids, [0, 24] n=4
The bracket BCD is hinged at C and attached to a control cable at B. Let F₁ = 275 N and F2 = 275 N.
F1
B
a=0.18 m
C
A
0.4 m
-0.4 m-
0.24 m
Determine the reaction at C.
The reaction at C
N Z
F2
D
Chapter 1 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
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.