Suppose that a rectangle is bounded by the x -axis and the graph of y = cos x . a. Write a function that represents the area A x of the rectangle for. 0 < x < π 2 b. Complete the table. a. Graph the function from part (a) on the viewing window: 0 , π 2 , π 6 by − 3 , 3 , 1 and approximate the values of x for which the area is 1 square unit Round to 2 decimal places. b. In calculus, we can show that the maximum value of the area of the rectangle will occur at values of x for which 2 cos x − 2 x sin x = 0 . Confirm this result by graphing y = 2 cos x − 2 x sin x and the function from part (a) on the same viewing window. What do you notice?
Suppose that a rectangle is bounded by the x -axis and the graph of y = cos x . a. Write a function that represents the area A x of the rectangle for. 0 < x < π 2 b. Complete the table. a. Graph the function from part (a) on the viewing window: 0 , π 2 , π 6 by − 3 , 3 , 1 and approximate the values of x for which the area is 1 square unit Round to 2 decimal places. b. In calculus, we can show that the maximum value of the area of the rectangle will occur at values of x for which 2 cos x − 2 x sin x = 0 . Confirm this result by graphing y = 2 cos x − 2 x sin x and the function from part (a) on the same viewing window. What do you notice?
Solution Summary: The author analyzes the function that represents the area of the rectangle for 0xpi 2.
Suppose that a rectangle is bounded by the x-axis and the graph of
y
=
cos
x
.
a. Write a function that represents the area
A
x
of the rectangle for.
0
<
x
<
π
2
b. Complete the table.
a. Graph the function from part (a) on the viewing window:
0
,
π
2
,
π
6
by
−
3
,
3
,
1
and approximate the values of
x
for which the area is
1
square unit Round to
2
decimal places.
b. In calculus, we can show that the maximum value of the area of the rectangle will occur at values of
x
for which
2
cos
x
−
2
x
sin
x
=
0
. Confirm this result by graphing
y
=
2
cos
x
−
2
x
sin
x
and the function from part (a) on the same viewing window. What do you notice?
25
Given the following graph of the function y = f(x) and n = 6, answer the following questions about the area
under the curve from z = 0 to z = 6. (Click on a graph to enlarge it.)
your final
(Round your answer to within two decimal places if necessary, but do not round until your
computation.)
a. Use the Trapezoidal Rule to estimate the area.
Estimate: T6=
b. Use Simpson's Rule to estimate the area.
Estimate: S6
Submit answer
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E
0
T
The
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Channel
UP
F3
=
F4
F5
DELL
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ex
2. Diketahui ſ¹ e* dx
·00 x
a. Kenapa integral diatas merupakan imroper integral? Jelaskan
b. Selesaikan integral tersebut
Inverse laplace transform
Lect: Huda I
H.w
1- F(S)=
A- Find - F(s) of the following
S
(s+1)5
1
2- F(s)
s² (s-a)
5+5
3- F(s)=
s2+4s+3
1
4- F(s)=
(s+2)2(s-2)
3s2-7s+5
5- F(s)=
(s-1)(s2-5s+6)
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