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Veronika [31]
2 years ago
6

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

Mathematics
1 answer:
frutty [35]2 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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3 years ago
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4 0
2 years ago
You wish to take a flight from Nevada to New York. Use the point (-4, 0) to represent Nevada, and the (5, 2) to represent New Yo
Flauer [41]

Using proportions, it is found that the ordered pair that represents the location of the layover is given by: (2.75, 1.5).

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the flight distance is partitioned in a ratio of 3:1, hence:

L - Nv = 3/4(Ny - Nv).

This ratio is applied for both coordinates, hence, for the x-coordinate:

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For the y-coordinate:

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y = \frac{6}{4}

x = 1.5.

More can be learned about proportions at brainly.com/question/24372153

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5 0
2 years ago
What is the length of the segment whose endpoints are A(-4, 3) and B (10, 6)?
nlexa [21]
Apply Pythagoras:

length = sqrt( (10--4)² + (6-3)² ) = sqrt(205)
7 0
3 years ago
Read 2 more answers
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Mademuasel [1]

Answer:

C is the closest one but it should be -472 instead -475

Step-by-step explanation:

just insert X in the formulas and compare to P

7 0
3 years ago
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