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3 years ago

Which is the best estimate 4.97+13.02

Mathematics

2 answers:

olya-2409 [2.1K]3 years ago

7 0

4.97 is estimated 5.0

13.02 is estimated to 13.0
⬇⬇⬇⬇⬇⬇⬇⬇⬇

4.97 + 13.02 = 17.99

5.0 + 13.0 = 18.0

Alenkinab [10]3 years ago

6 0

5+13 which equals 18

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Suppose that the derivable functions x=x(t) and y=y(t) satisfy xcosy=2.

ololo11 [35]

Applying implicit differentiation, it is found that dy/dt when y=π/4 is of:

a-) -√2 / 2.

<h3>What is implicit differentiation?</h3>

Implicit differentiation is when we find the derivative of a function relative to a variable that is not in the definition of the function.

In this problem, the function is:

xcos(y) = 2.

The derivative is relative to t, applying the product rule, as follows:

$\cos{y}\frac{dx}{dt} - x\sin{y}\frac{dy}{dt} = 0$

$\frac{dy}{dt} = \frac{\cos{y}\frac{dx}{dt}}{x\sin{y}}$

Since dx/dt=−2, we have that:

$\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}$

When y = π/4, x is given by:

xcos(y) = 2.

$x = \frac{2}{\cos{\frac{\pi}{4}}} = \frac{2}{\frac{\sqrt{2}}{2}} = \frac{4}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = 2\sqrt{2}$

Hence:

$\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}$

$\frac{dy}{dt} = -\frac{1}{\sqrt{2}}\cot{y}$

Since cot(pi/4) = 1, we have that:

$\frac{dy}{dt} = -\frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = -\frac{\sqrt{2}}{2}$

Which means that option a is correct.

More can be learned about implicit differentiation at brainly.com/question/25608353

#SPJ1

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2 years ago

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Alex777 [14]

Answer:

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Step-by-step explanation:

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3 years ago

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DochEvi [55]

The differences between the given locations ovtained by taking the absolute value of the difference between two points:

A and B = 202.25 meters
B and C = 1686.6 meters
C and D = 474.875 meters

The question involves calculating the difference in the distance between two points.

Location A = - 895.9 m

Location B = - 1098 3/20 = - 1098.15 m

Location C = - 2784.75

Location D = - 3259 5/8 = - 3259.625

Difference between Location A and B

|-895.9 - (-1098.15)| = 202.25 meters

Difference between Location B and Location C

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Difference between Location C and Location D

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A and B = 202.25 meters
B and C = 1686.6 meters
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lakkis [162]

Suppose the smallest angle is x
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Elza [17]

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Step-by-step explanation:

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3 years ago