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3 years ago

Please help I have been stuck for a while

Mathematics

1 answer:

elixir [45]3 years ago

7 0

Answer:

$3\sqrt{2}$

Step-by-step explanation:

3^2+3^2=18

root 18 = 3root2

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Determine an expression for dy dx given that x = sin3 (t)andy = cos3 (t)

shtirl [24]

Answer:

$\frac{dy}{dx} =-\sqrt[3]{\frac{y}{x} }$

Step-by-step explanation:

Recall that using the chain rule we can state:

$\frac{dy}{dt} =\frac{dy}{dx}*\frac{dx}{dt}$

and therefore solve for dy/dx as long as dx/dt is different from zero.

Then we find dy/dt and dx/dt,

Given that

$x=sin^3(t)\\dx/dt = 3 sin^2(t)* cos(t)$

And similarly:

$y=cos^3(t)\\dy/dt=-3\,cos^2(t)*sin(t)$

Therefore, dy/dx can be determined by the quotient of the expressions we just found:

$\frac{dy}{dx} =\frac{dy/dt}{dx/dt} =\frac{-3\,cos^2(t)*sin(t)}{3\,sin^2(t)*cos(t)} =-\frac{cos(t)}{sin(t)}$

now notice that we can find $cos(t) = \sqrt[3]{y}$ from the expression for y,

and $sin(t) = \sqrt[3]{x}$ from its expression for x.

Therefore dy/dx can be written in terms of x and y as:

$\frac{dy}{dx} =-\frac{cos(t)}{sin(t)}=-\sqrt[3]{\frac{y}{x} }$

4 0

3 years ago

The amount $180.00 is what percent greater than $135.00

horsena [70]

33.33% is the answer.

7 0

3 years ago

HELP me with These questions 2

LUCKY_DIMON [66]

Answer: 4

Step-by-step explanation:

A = $\frac{1}{2}$ r²θ

50 = $\frac{1}{2}$ (5)²θ

100 = (5)²θ

100 = (25)θ

4 = θ

********************************************************************************

Answer: 1570.80 cm²

Step-by-step explanation:

A = $\frac{1}{2}$ r²θ

A = $\frac{1}{2}$ (100)² $(\frac{\pi}{10})$

A = 500π

A = 1570.80

********************************************************************************

Answer: 19.63 m²

Step-by-step explanation:

A = $\frac{1}{2}$ r²θ

= $\frac{1}{2}$ (5)² $(\frac{\pi} {2})$

= $\frac{25\pi} {4}$

= 19.63

********************************************************************************

Answer: 15°

Step-by-step explanation:

$\frac{\pi }{180} = \frac{\pi} {12x}$

180 = 12x

15 = x

********************************************************************************

Answer: A

Step-by-step explanation:

Quadrant I: 0° - 90°

Quadrant II: 90° - 180°

Quadrant III: 180° - 270°

Quadrant IV: 270° - 360°

255° is in Quadrant III

5 0

3 years ago

What is the possibility of it being green instead of red and every is the answer to the question

lakkis [162]

The answer would be 1/10

5 0

3 years ago

1000 + 874 + 53528 - 1026 =

DanielleElmas [232]

Answer:

54376

is the answer .......

3 0

3 years ago

Read 2 more answers