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IgorC [24]
3 years ago
6

Evaluate the following functions at x = 10 q(x)=x^2-2x+2​

Mathematics
1 answer:
Oduvanchick [21]3 years ago
5 0

Answer:

82

Step-by-step explanation:

given:x=10

Evaluating,

(10)²-2(10)+2

=100-20+2

=80+2

=82

Pls mark me brainliest

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The complementary angle of 59°
Mandarinka [93]
90° - 59° = 31°

31° is your answer
7 0
3 years ago
Read 2 more answers
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
If you know any of these could yoy hep me out :D
Mekhanik [1.2K]
7. X=5
8. X=6
9. B=-3
10. G=3.4
5 0
2 years ago
HELP QUICK!!!! PLEASE FIVE AN EXPLANATION ALSO!!! HELP!!!
ryzh [129]

Answer:

A) 2

Step-by-step explanation:

Download pdf
7 0
3 years ago
(Giving Branliest)
bekas [8.4K]

Hey there! I'm happy to help!

28(5280)=147840 feet per hour.

There are 60 minutes in an hour. To find out how many feet Bolt runs in a second we divide by 60.

147840/60=2464

And we divide by sixty again to get to seconds.

2464/60=41 1/15 feet per second.

Have a wonderful day! :D

8 0
3 years ago
Read 2 more answers
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