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Tpy6a [65]
2 years ago
15

Question is attached in photo Function : f(x)=x+2 sin x

Mathematics
1 answer:
Luba_88 [7]2 years ago
3 0

Answer:

The function is given below as

f(x)=x+2\sin x

Using the interval below

0\leq x\leq2\pi

A relative maximum point is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph).

Similarly, a relative minimum point is a point where the function changes direction from decreasing to increasing (making that point a "bottom" in the graph).

Using a graphing tool, we will have the relative maximum and relative minimum to be

Hence,

The relative maximum is at

(\frac{2\pi}{3},3.826)

The relative minimum is at

(\frac{4\pi}{3},2.457)

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Calculate the speed of an object from 0-1 sec.
boyakko [2]

Answer:

. 2 m/s

Step-by-step explanation:

Speed is defined as the rate of change in distance per time.

in this case you can simply observe the graph to get the final and initial distances & time.

The motion starts from 0 and moves to 2 if you look at the y axis of the graph.

Thus, the initial distance is 0m & the final distance is 2m

The time is specified in the question to have an initial of 0 sec and a final of 1 sec.

now let's plot our values out as a given.

S1 = 0m t1 = 0 sec

S2 = 2m t2 = 1 sec

and so you're going to have to find the change in time and displacement individually to later engage both in your formula which is - ∆V = ∆S / ∆t

∆S = S2 - S1 = 2m - 0m = 2m.

∆t = t2 - t1 = 1 sec - 0 sec = 1 sec.

∆V = ∆S / ∆t = 2m / 1 sec = 2m/sec (2m/s)

3 0
3 years ago
Eyjafjallajokull is a volcano in Iceland. In a recent eruption, a projectile is ejected with an initial velocity of 304 feet per
Vikentia [17]

Answer:

A volcano ejected with an initial velocity of 304 feet per second.

The height in feet is given by the equation H=-16t^2+ 304t where t is the time in seconds.

We will use the equation that traces the path of the projectile to determine the following information:

1) The time it takes the projectile to reach its maximum height (using the vertex formula: t=-b/2a)

The equation; H = -16t^2 + 304t, a=-16; b=304

t = -304/2°(-16)

t = 9.5 sec to reach max height

2) The maximum height of the projectile (use the result from part 1 to find the maximum height of the projectile)

t = 9.5

H = -16(9.5^2) + 304(9.5)

h = = -1444 + 2888

h = 1444 ft is the max height

3) Find the time it takes the projectile to return to the ground. Assume that the projectile starts at height H=0.

-16t^2 + 304t = 0

factor out -16t

-16t(t - 19) = 0

t = 19 sec to reach the ground

Step-by-step explanation:

8 0
3 years ago
A tour director collected $258 for 13 tour packages tour package A cost $18 and tour package B cost $22 how many of each tour pa
eimsori [14]
There were 6 packages at $22.00   = $132
There were 7 packages at $18.00   = $126
6 0
3 years ago
Which proportions show that the triangles are not similar?
jasenka [17]

Answer:

AC and DF

Step-by-step explanation:

We can see that the triangles have a scale factor of 3.

1 * 3 = 3 (AB and DE)

2 * 3 = 6 (BC and EF)

However...

2 * 3 = 6 not 7 (AC and DF)

3 0
3 years ago
What is the distance between (7,0) and (7,-9)
Naddika [18.5K]

Answer:

9 units

Step-by-step explanation:

You can use the distance formula, or you could recognize that since both points have the same x-coordinate, they lie on a vertical line, so the distance between them would be the absolute value of 0 and -9, which is 9.

Hope this helped! :) (Srry I was a little late)

5 0
3 years ago
Read 2 more answers
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