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Veronika [31]
3 years ago
6

Suppose y = sqrt 2x+1, where x and y are functions of t.

Mathematics
1 answer:
frutty [35]3 years ago
5 0

If y = √(2x + 1), then differentiating both sides implicitly with respect to t gives

dy/dt = 1/2 • 1/√(2x + 1) • 2 • dx/dt = 1/√(2x + 1) • dx/dt

(a) If dx/dt = 9 and x = 4, then

dy/dt = 1/√(2•4 + 1) • 9

dy/dt = 1/√(8 + 1) • 9

dy/dt = 1/√9 • 9

dy/dt = 9/3

dy/dt = 3

(b) If dy/dt = 3 and x = 40, then

3 = 1/√(2•40 + 1) • dx/dt

3 = 1/√(80 + 1) • dx/dt

3 = 1/√81 • dx/dt

3 = 1/9 • dx/dt

dx/dt = 27

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Can someone help me with this and explain how that graph is the answer?
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4 years ago
Mathemat
Svetradugi [14.3K]
First 168 is with the discount
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7 0
3 years ago
Suppose Clara has a collection of old CDs. If the diameter of a CD measures about 12 centimeters, approximate the circumference
Strike441 [17]

Answer:

The circumference of the CD is approximately 38 cm

Step-by-step explanation:

The circumference of the CD can be seen as the distance around the CD.

The word "circumference"  is used to describe the perimeter of circular objects.

To find an approximate value of the circumference of the CD, we will use this formula.

Circumference = π × diameter

let us take π to be = 3.142

∴ circumference = 3.142 × 12 = 37.6991 cm

we can round this up to teh nearest tenth as 38cm

7 0
3 years ago
Which equation is shown in the graph?
Gekata [30.6K]
Hmmmm judging by the values in between integers, like 2.5, 1.5, -2.5, -3.5 and so on, those values always produce a smaller number hmm that sounds whack... lemme put it differently.

a floor() function, namely ⌊x⌋ like that, will floor the decimal values, so ⌊2.5⌋ floors to 2, because 2.5 is between 2 and 3, and the smallest is 2, the "floor", the 3 will be the "ceiling".

so for a floor function, ⌊1.5⌋ is 1, 1.5 is between 1 and 2, 1 is the smallest, ⌊-3.5⌋ is -4, recall that on the negative side, the closer to 0, the larger, so -1 is much larger than -1000.

and say ⌊-1.35⌋ is -2, -1.35 is between -2 an -1 and -2 is the smallest, the "floor".

that said

x = 2.5      ⌊ 2.5 + 3⌋ is ⌊5.5⌋ which is 5

x = 1.5      ⌊ 1.5 + 3 ⌋ is ⌊4.5⌋ which is 4

x = -2.749   ⌊ -2.749 + 3⌋ is ⌊0.251⌋ which is 0

anyway and so on, so you can pretty much see is the floor function of ⌊ x + 3⌋.
6 0
3 years ago
(Need an answer fast.)
pogonyaev
The answer that you have derived is incorrect. Here is the correct way to solve it:
-\frac{x}{2} \ \textless \ -1

We multiply -2 to both sides, which changes the signs.
x\ \textgreater \ 2
Therefore, the answer to your query is x > 2. Hope this helps and have a fantastic day!
6 0
3 years ago
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