i7nd4JayBntbabygirl
i7nd4JayBntbabygirl i7nd4JayBntbabygirl
  • 15-08-2016
  • Mathematics
contestada

Let g be the function given by g(x)=x^2*e^(kx) , where k is a constant. For what value of k does g have a critical point at x=2/3?

Respuesta :

HomertheGenius
HomertheGenius HomertheGenius
  • 18-08-2016
g `( x ) =[tex] 2x * e^{kx} + k x^{2} *e^{kx} = \\ = xe^{kx}(2 + kx ) [/tex]
2 + k x = 0
k x = -2
k = -2: x = - 2 : 2/3 = - 2 * 3/2
k = - 3
Answer: for k= - 3, the function g ( x ) have a critical point at x = 2/3. 
Answer Link

Otras preguntas

True or False? If a substance is mixed with another substance and then the result is a new odor, then is reaction is a physical reaction.
4 X ... X 4 = 7 times
ANSWER this question with your opinion on the correct answer. You will not be penalized for an incorrect answer (answer with AT LEAST two sentences 3 points eac
PLEASEEEEEEEE HELLPPPPPPP!!!!!!!
Jon borrows $4.50 from his friends to pay for snacks, and $13.65 from his sister to go to the movies. How much money does he reed to repay?
Simplify: | 5\6 - 7\2 | - | 5\3 |
The parking lot at a grocery store has 90 cars in it. 90% of the cars are blue. How many cars are blue? a 10 cars b 81 cars c 810 cars d 100 cars
what happens in romeo and juliet
How far can you ride a bike if you ride for 10 min at speed of 150m/min
Tammy is recording the percentages she earned on each quiz in her math class. Here are her results for the last quizzes. 91, 86, 85, 74, 90, 87,86 Find the rang