All categories

3 years ago

Find the inverse of the function r(t)=5t.

Mathematics

1 answer:

Sveta_85 [38]3 years ago

7 0

Answer:

Log5 t I believe

Step-by-step explanation:

.-.

You might be interested in

Find the solution of the differential equation that satisfies the given initial condition. y' tan x = 3a + y, y(π/3) = 3a, 0 &lt

Paladinen [302]

Answer:

$y(x)=4a\sqrt{3}* sin(x)-3a$

Step-by-step explanation:

We have a separable equation, first let's rewrite the equation as:

$\frac{dy(x)}{dx} =\frac{3a+y}{tan(x)}$

But:

$\frac{1}{tan(x)} =cot(x)$

So:

$\frac{dy(x)}{dx} =cot(x)*(3a+y)$

Multiplying both sides by dx and dividing both sides by 3a+y:

$\frac{dy}{3a+y} =cot(x)dx$

Integrating both sides:

$\int\ \frac{dy}{3a+y} =\int\cot(x) \, dx$

Evaluating the integrals:

$log(3a+y)=log(sin(x))+C_1$

Where C1 is an arbitrary constant.

Solving for y:

$y(x)=-3a+e^{C_1} sin(x)$

$e^{C_1} =constant$

So:

$y(x)=C_1*sin(x)-3a$

Finally, let's evaluate the initial condition in order to find C1:

$y(\frac{\pi}{3} )=3a=C_1*sin(\frac{\pi}{3})-3a\\ 3a=C_1*\frac{\sqrt{3} }{2} -3a$

Solving for C1:

$C_1=4a\sqrt{3}$

Therefore:

$y(x)=4a\sqrt{3}* sin(x)-3a$

3 0

4 years ago

Draw a model or use numbers to solve the equation 3+x=<br> 11. What is the solution?

Stolb23 [73]

Answer:

The solution of the equation $3 + x = 11$ is $x = 8$ .

Step-by-step explanation:

Let $3 + x = 11$ , we see that number of equation and variables are both the same and can be solved by algebraic means.

1) $3 + x = 11$ Given

2) $x + 3 = 11$ Commutative property

3) $x + [3+(-3)] = 11 + (-3)$ Compatibility with addition/Associative property

4) $x = 8$ Additive inverse/Modulative property/Definition of substraction/Result

The solution of the equation $3 + x = 11$ is $x = 8$ .

3 0

3 years ago

2 2/5 divided by (-1/4) ?

andrew11 [14]

Answer:

-9.6

Step-by-step explanation:

mark as brainliest

5 0

3 years ago

Read 2 more answers

In a bag of marbles, 1/2 are red, 1/4 are blue, 1/6 are green and 1/12 are yellow. You pick a marble without looking. What color

igomit [66]

Answer:

Its red becasue 1/2 is greater than all of them

6 0

3 years ago

Which quantity is proportional to 21/3

BARSIC [14]

$\frac{7}{1}$
You can simplify the top and bottom by 3

3 0

4 years ago