For Exercises 1-16, identify which functions shown here ( f , g , h , and so on) have the given characteristics f x = sin π 2 x + 3 g x = − 3 cos 1 2 x − π 4 h x = 3 sin − 1 2 x − π 5 k x = − 3 sec 2 x + π m x = 2 csc 2 x − π 2 − 3 n x = 3 tan x − π 2 p x = − 2 cot 1 2 x + π t x = − 3 + 2 cos x Has a vertical shift upward from the parent graph
For Exercises 1-16, identify which functions shown here ( f , g , h , and so on) have the given characteristics f x = sin π 2 x + 3 g x = − 3 cos 1 2 x − π 4 h x = 3 sin − 1 2 x − π 5 k x = − 3 sec 2 x + π m x = 2 csc 2 x − π 2 − 3 n x = 3 tan x − π 2 p x = − 2 cot 1 2 x + π t x = − 3 + 2 cos x Has a vertical shift upward from the parent graph
Solution Summary: The author explains the functions that have a vertical shift upward from the parent graph. The general sine function is Amathrmsin(Bx-C)+D, the co
For Exercises 1-16, identify which functions shown here (
f
,
g
,
h
,
and so on) have the given characteristics
f
x
=
sin
π
2
x
+
3
g
x
=
−
3
cos
1
2
x
−
π
4
h
x
=
3
sin
−
1
2
x
−
π
5
k
x
=
−
3
sec
2
x
+
π
m
x
=
2
csc
2
x
−
π
2
−
3
n
x
=
3
tan
x
−
π
2
p
x
=
−
2
cot
1
2
x
+
π
t
x
=
−
3
+
2
cos
x
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
College Algebra with Modeling & Visualization (5th Edition)
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