All categories

3 years ago

This is part 2 to my last question, i think it was incorrect im sorry

Mathematics

2 answers:

skelet666 [1.2K]3 years ago

5 0

Denominator is correct
Hope that helped

Tanzania [10]3 years ago

3 0

Answer:

ELLO

uhhh yeah we helped each other one this lol

You might be interested in

Find the general solution of the differential equation and check the result by differentiation. (Use C for the constant of integ

atroni [7]

Answer: $y=Ce^(^3^t^{^9}^)$

Step-by-step explanation:

Beginning with the first differential equation:

$\frac{dy}{dt} =27t^8y$

This differential equation is denoted as a separable differential equation due to us having the ability to separate the variables. Divide both sides by 'y' to get:

$\frac{1}{y} \frac{dy}{dt} =27t^8$

Multiply both sides by 'dt' to get:

$\frac{1}{y}dy =27t^8dt$

Integrate both sides. Both sides will produce an integration constant, but I will merge them together into a single integration constant on the right side:

$\int\limits {\frac{1}{y} } \, dy=\int\limits {27t^8} \, dt$

$ln(y)=27(\frac{1}{9} t^9)+C$

$ln(y)=3t^9+C$

We want to cancel the natural log in order to isolate our function 'y'. We can do this by using 'e' since it is the inverse of the natural log:

$e^l^n^(^y^)=e^(^3^t^{^9} ^+^C^)$

$y=e^(^3^t^{^9} ^+^C^)$

We can take out the 'C' of the exponential using a rule of exponents. Addition in an exponent can be broken up into a product of their bases:

$y=e^(^3^t^{^9}^)e^C$

The term e^C is just another constant, so with impunity, I can absorb everything into a single constant:

$y=Ce^(^3^t^{^9}^)$

To check the answer by differentiation, you require the chain rule. Differentiating an exponential gives back the exponential, but you must multiply by the derivative of the inside. We get:

$\frac{d}{dx} (y)=\frac{d}{dx}(Ce^(^3^t^{^9}^))$

$\frac{dy}{dx} =(Ce^(^3^t^{^9}^))*\frac{d}{dx}(3t^9)$

$\frac{dy}{dx} =(Ce^(^3^t^{^9}^))*27t^8$

Now check if the derivative equals the right side of the original differential equation:

$(Ce^(^3^t^{^9}^))*27t^8=27t^8*y(t)$

$Ce^(^3^t^{^9}^)*27t^8=27t^8*Ce^(^3^t^{^9}^)$

QED

I unfortunately do not have enough room for your second question. It is the exact same type of differential equation as the one solved above. The only difference is the fractional exponent, which would make the problem slightly more involved. If you ask your second question again on a different problem, I'd be glad to help you solve it.

7 0

2 years ago

Consider the following vector-valued function:~h(t) =〈2 sin(3t),3 cos(3t),√5 sin(3t)〉0≤t≤2π3This defines a smooth parameterized

omeli [17]

Answer:

a) h'(t)= (6cos3t,-9sin3t,3 $\sqrt[]{5}$ cos3t)

b) t=0.93994736+πn/3

c) Magnitude of h(t) is 3 which is a constant, so h(t) lies on a sphere

Step-by-step explanation:

5 0

3 years ago

Look at the equation below. Identify which equation has no solution

IgorC [24]

Answer:

Step-by-step explanation:

$24a-22 = -4(1-6a)\\\\\implies 24a-22 = -4+24a\\\\\implies -22 = -4\\\\\text{Which is not true, so no solutions exist.}$

4 0

2 years ago

Solve for the value of a. .<br> (9a+6°<br> 750

Lilit [14]

As you can see those two angles are supplementary which the sum of two angles = 180°

So,

(9a + 6) + 75 = 180

Subtract 75 on both sides:

9a + 6 = 105

Subtract 6 on those sides:

9a = 99

Divide 9 on both sides:

a = 11

-

8 0

3 years ago

If sin angle X = cos angle Y and m angle X=72 degrees, what is the measure of angle y

nikdorinn [45]

Answer:18

Step-by-step explanation:

Sin72=cosy

0.9511=cosy

Y=cos(inverse)0.9511

Y=18

6 0

3 years ago