2 years ago

50 POINT GIVEAWAY AND BRAINLEST FOR the FIRST ANSWER

Mathematics

2 answers:

Zina [86]2 years ago

8 0

Answer:

thank you

Step-by-step explanation:

hodyreva [135]2 years ago

3 0

Answer:

Step-by-step explanation:

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The curve with equation y=e^2x/4+3e^x has one stationary point.find the exact value of the coordinates of this point

Softa [21]

$y=\dfrac{e^{2x}}{4+3e^x}$
$\implies y'=\dfrac{2e^{2x}(4+3e^x)-3e^xe^{2x}}{(4+3e^x)^2}$
$\implies y'=\dfrac{8e^{2x}+3e^{3x}}{(4+3e^x)^2}$

Stationary points occur where the derivative is zero. The denominator is positive for all $x$ , so we only need to worry about the numerator.

$8e^{2x}+3e^{3x}=e^{2x}(8+3e^x)=0$

$e^{2x}>0$ for all $x$ , so we can divide through:

$8+3e^x=0\implies e^x=-\dfrac83$

But $e^x>0$ for all $x\in\mathbb R$ , so this function has no stationary points...

I suspect there may be a typo in the question.

6 0

2 years ago

Type your number answer in decimal form. Do not round. 3,000 millimeters =

nadezda [96]

3,000 millimeters = 3 meters.

So, the answer should be 3.

Hope this helps :)

7 0

2 years ago

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11. Mrs. Mildred Broadwater bought a dishwash- er with a list price of $439.25. She paid $50 down and the rest in 12 monthly pay

Rina8888 [55]

Answer:176$

Step-by-step explanation: