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2 years ago

Fill in the blank. The function graphed below is________

Mathematics

1 answer:

Oxana [17]2 years ago

5 0

Answer and explanation:

It would always be increasing because of the way the arc is going.

The first quadrant is positive x and positive y, so if the arc continues to go up the first quadrant it will always be increasing

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Divide 3x^4-3x^3-4x^2-4x by x^2-2x

Citrus2011 [14]

Answer:

3x^2+3x+2

using Euclid's division algorithm

you can verify itt...

5 0

2 years ago

Consider the system of differential equations dxdt=−4ydydt=−4x. Convert this system to a second order differential equation in y

koban [17]

$\dfrac{\mathrm dy}{\mathrm dt}=-4x\implies x=-\dfrac14\dfrac{\mathrm dy}{\mathrm dt}\implies\dfrac{\mathrm dx}{\mathrm dt}=-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}$

Substituting this into the other ODE gives

$-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}=-4y\implies y''-16y=0$

Since $x(t)=-\dfrac14y'(t)$ , it follows that $x(0)=-\dfrac14y'(0)=4\implies y'(0)=-16$ . The ODE in $y$ has characteristic equation

$r^2-16=0$

with roots $r=\pm4$ , admitting the characteristic solution

$y_c=C_1e^{4t}+C_2e^{-4t}$

From the initial conditions we get

$y(0)=5\implies 5=C_1+C_2$

$y'(0)=16\implies-16=4C_1-4C_2$

$\implies C_1=\dfrac12,C_2=\dfrac92$

So we have

$\boxed{y(t)=\dfrac12e^{4t}+\dfrac92e^{-4t}}$

Take the derivative and multiply it by -1/4 to get the solution for $x(t)$ :

$-\dfrac14y'(t)=\boxed{x(t)=-\dfrac12e^{4t}+\dfrac92e^{-4t}}$

7 0

2 years ago

Is 13t an algebraic expression like does it mean 13 Times T or is it just 13 and a number representing t

spin [16.1K]

Answer:

This is an algebraic expression

Step-by-step explanation:

U won't ever use t to mean multiplication u will use a . Or × or a letter next to a number to symbolise mutiplication

6 0

2 years ago

If the weight of a package is multiplied by 516 the result is 10 lbs. Find the

zysi [14]

Answer:

0.1937984496 lbs

Step-by-step explanation:

10 ÷ 516

7 0

2 years ago

What can you predict regarding the probability of the

natka813 [3]

Answer:

The frequency does not change with more trials

Step-by-step explanation:

To predict: the probability of the coin landing heads up

Solution:

Probability refers to the chances that an event will occur in an experiment. The value of probability lies between 0 and 1. 0 indicates impossible event and 1 indicates a sure event. The probability of an event can not be greater than 1.

When a coin is tossed, there are two possible outcomes: heads (H), tails (T).

In case of the probability of the coin landing heads up, the frequency does not change with more trials.

6 0

2 years ago

Read 2 more answers