All categories

2 years ago

X= e^t -9 , y= e^2t Find the cartesian equation

1 answer:

4 0

$\bf \begin{cases}
x=e^t-9\\\\
y=e^{2t}
\end{cases}\\\\
-----------------------------\\\\
x=e^t-9\implies x+9=e^t\implies ln(x+9)=ln(e^t)
\\\\\\
ln(x+9)=\underline{t}\\\\
-----------------------------\\\\
y=e^{2t}\iff y=e^{2\underline{ln(x+9)}}$

You might be interested in

The cost to.Purchase a tank.Of gasoline varies directly with the.Number of gallons purchased. You notice that the person in fron

maxonik [38]

Answer:

$70.20

Step-by-step explanation:

We need to first find the cost per gallon of the gas.

The person in front bought 15 gals at $40.50. The price of each gallon will therefore be:

40.50 / 15 = $2.70

You need to buy 26 gallons. The cost will be:

26 * 2.70 = $70.20

You will spend $70.20.

5 0

3 years ago

The total monthly profit for a firm is P(x)=6400x−18x^2− (1/3)x^3−40000 dollars, where x is the number of units sold. A maximum

wlad13 [49]

Answer:

Maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

Step-by-step explanation:

We are given the following information: $P(x) = 6400x - 18x^2 - \frac{x^3}{3} - 40000$ , where P(x) is the profit function.

We will use double derivative test to find maximum profit.

Differentiating P(x) with respect to x and equating to zero, we get,

$\displaystyle\frac{d(P(x))}{dx} = 6400 - 36x - x^2$

Equating it to zero we get,

$x^2 + 36x - 6400 = 0$

We use the quadratic formula to find the values of x:

$x = \displaystyle\frac{-b \pm \sqrt{b^2 - 4ac} }{2a}$ , where a, b and c are coefficients of $x^2, x^1 , x^0$ respectively.

Putting these value we get x = -100, 64

Now, again differentiating

$\displaystyle\frac{d^2(P(x))}{dx^2} = -36 - 2x$

At x = 64, $\displaystyle\frac{d^2(P(x))}{dx^2} < 0$

Hence, maxima occurs at x = 64.

Therefore, maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

6 0

3 years ago

What is X<br><img src="https://tex.z-dn.net/?f=%20-%203x%20%2B%2012%20%3D%2021" id="TexFormula1" title=" - 3x + 12 = 21" alt=" -

Paraphin [41]

You would move all terms that don’t contain x to the right side and solve. Answer : x= -3

8 0

3 years ago

Read 2 more answers

Number line for 235+123

valentina_108 [34]

I think this is right
all you need to do is:

235-123= 112
then to make sure its correct you do:
123+112= 235

Hope this has helped you. :)

8 0

2 years ago

Uh yall know the answer?

olga_2 [115]

Answer:

pizza?

Step-by-step explanation:

tbh I'm confused soooo

6 0

2 years ago

Read 2 more answers