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4 years ago

Find dy/dx by implicit differentiation: 4 cos x sin y = 2

1 answer:

7 0

Hello,

f(x,y)=4cos x sin y-2

@f/@x=-4sin x sin y

@f/@y=4 cos x cos y

dy/dx=-(@f/@x)/(@f/@y)=sin x sin y/(cos x cos y)=tg x * tg y

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The velocity of a particle moving back and forth on a line is vequalsStartFraction ds Over dt EndFraction equals6 sine (2 t )Sta

max2010maxim [7]

Answer:

s = 6 m

Step-by-step explanation:

The value of the velocity v is given as:

$v = \frac{ds}{dt} = 6 sin(2t)$ m/s

To find s, we have to integrate and apply the initial values of s = o when t = 0:

$\frac{ds}{dt} = 6 sin(2t)\\\\\int\limits^s_0 {ds} = \int\limits^t_0 {6sin(2t)} \, dt\\\\s|^s_o = -3cos(2t)|^t_o\\\\s - 0 = -3cos(2t) -(-3cos(0))\\\\s = -3cos(2t) + 3(1)\\\\s = -3cos(2t) + 3$

When t = π/2, s will be:

s = -3cos(2 * π/2) + 3

s = -3cos(π) + 3

s = -3(-1) + 3

s = 3 + 3

s = 6 m

4 0

4 years ago

Write the rational number as a decimal - 3/11

oksano4ka [1.4K]

Answer

0.27

Step-by-step explanation:

3 divided by 11

= 0.27

this is it I believe

8 0

3 years ago

Which function will produce the same graph as the function shown below?<br>y= (x+1)(x+3)

Valentin [98]

Answer:

$y = x {}^{2} + 4x + 3$

Step-by-step explanation:

All you do is distribute the first parentheses into the second.

4 0

4 years ago

Find the volume of the cone.

ololo11 [35]

Answer:

Step-by-step explanation:

volume=1/3 πr²h

=1/3×π×3²×4

=12π ft³

≈37.70 ft³

6 0

3 years ago

Given the system of equations, what is the solution?<br><br> x + 3y = 5<br> x - 3y = -1

mr_godi [17]

$\begin{cases}x+3y=5\\x-3y=-1 \end{cases}\\---------(+)\\\\x+x+3y-3y=5+(-1)\\\\2x=4\qquad|:2\\\\\boxed{x=2}\\\\\\\\x+3y=5\\\\2+3y=5\qquad|-2\\\\2+3y-2=5-2\\\\3y=3\qquad|:3\\\\\boxed{y=1}$

The solution is (2; 1)

3 0

3 years ago

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