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3 years ago

Find the indicated term of 4, 2 ,0

Mathematics

2 answers:

Kipish [7]3 years ago

7 0

Answer:

13, 16

Step-by-step explanation:

We need to find the common difference.

4 - 1 = 3

7 - 4 = 3

10 - 7 = 3

Find the next two terms.

10 + 3 = 13

13 + 3 = 16

Best of Luck!

Pavlova-9 [17]3 years ago

3 0

Answer:

Step-by-step explanation:

6-3=3

9-6=3

13-16=3

333

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loris [4]

The second yes is the answer

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3 years ago

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

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4 0

1 year ago

A contractor is building a fenced-in area at a daycare. The area will be rectangular with the length of its base equal to half t

AlladinOne [14]

Answer:

The length of fencing will be $300\ ft$

Step-by-step explanation:

Step 1

Find the dimensions of the rectangle

we know that

The area of a rectangle is equal to

$A=bh$

In this problem we have

$A=5,000\ ft^{2}$

$5,000=bh$ -----> equation A

$b=\frac{h}{2}$ -----> equation B

Substitute equation B in equation A

$5,000=(\frac{h}{2})h$

$10,000=h^{2}$

square root both sides

$h=100\ ft$

Find the value of b

$b=\frac{h}{2}$ -----> $b=\frac{100}{2}=50\ ft$

step 2

Find the length of fencing

The perimeter of a rectangle is equal to

$P=2(b+h)$

we have

$h=100\ ft$

$b=50\ ft$

substitute

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Step-by-step explanation:

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2 years ago

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Step-by-step explanation:

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