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3 years ago

15

Write an expression that is equivalent to 5(3x plus 2z)

1 answer:

avanturin [10]3 years ago

4 0

15x +10z because if you use the distributive property of multiplication,
5 x 3x = 15x and 5 x 2z = 10z

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Use separation of variables to solve dy dx − tan x = y2 tan x with y(0) = √3. Find the value of c in radians, not degrees

a_sh-v [17]

Answer:

$y(x)=tan(-log(cos(x))+\frac{\pi }{3} )$

Step-by-step explanation:

Rewrite the equation as:

$\frac{dy(x)}{dx}-tan(x)=y(x)^{2} *tan(x)$

Isolating $\frac{dy}{dx}$

$\frac{dy}{dx} =tan(x)+tan(x)*y^{2}$

Factor:

$\frac{dy}{dx} =tan(x)*(1+y^{2} )$

Dividing both sides by $(1+y^{2} )$ and multiplying them by $dx$

$\frac{dy}{1+y^{2} } =tan(x)dx$

Integrate both sides:

$\int\ \frac{dy}{1+y^{2} } = \int\ tan(x) dx$

Evaluate the integrals:

$arctan(y)=-log(cos(x))+C_1$

Solving for y:

$y(x)=tan(-log(cos(x))+C_1)$

Evaluating the initial condition:

$y(0)=\sqrt{3} =tan(-log(cos(0))+C_1)=tan(-log(1)+C_1)=tan(0+C_1)$

$\sqrt{3} =tan(C_1)\\arctan(\sqrt{3} )=C_1\\60=C_1$

Converting 60 degrees to radians:

$60degrees*\frac{\pi }{180degrees} =\frac{\pi }{3}$

Replacing $C_1$ in the diferential equation solution:

$y(x)=tan(-log(cos(x))+\frac{\pi }{3} )$

3 0

2 years ago

What is -4+0+y, When y=16

BlackZzzverrR [31]

$\large \mathfrak{Solution : }$

let's plug in the value of y :

-4 + 0 + y

-4 + 16

12

8 0

3 years ago

Read 2 more answers

Multiple choice question please dont answer if you dont know this is my education

kakasveta [241]

Its C.

Hope this answer helps.

5 0

2 years ago

Read 2 more answers

3. Which equation is graphed in the figure?

kakasveta [241]

$3x + 4y = 8 \\ This \: is \: your \: answer.$

6 0

2 years ago

Which graph represents the inequality y>3−x?

nekit [7.7K]

Answer:

B

Step-by-step explanation:

The first step is to draw the line y = 3 - x to see what the line itself looks like. Is it going from left to right as in A and C is going up as you go from right to left as in B and D? The graph on the left (below) gives you the answer. It is going up as you progress from right to left.

The next step is to answer which is it: B or D.

y has to be above the line. it is B. See the graph below on the right.

4 0

2 years ago