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Verdich [7]
2 years ago
12

Help help help please please

Mathematics
1 answer:
Mama L [17]2 years ago
7 0

Answer:

your answer should be 200%

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Find a and b so that f(x) = x^3 + ax^2 + b will have a critical point at (2,3).
Digiron [165]

Using the critical point concept, it is found that a = -3 and b = 7.

<h3>What are the critical points of a function?</h3>
  • The critical points of a function are the values of x for which:

f^{\prime}(x) = 0

In this problem, the function is:

f(x) = x^3 + ax^2 + b

Hence, the derivative is:

f^{\prime}(x) = 3x^2 + 2ax

Then:

f^{\prime}(x) = 0

3x^2 + 2ax = 0

x(3x + 2a) = 0

x = 0

3x + 2a = 0

3x = -2a

x = -\frac{2a}{3}

Since the critical point is at x = 2, we have that:

-\frac{2a}{3} = 2

-2a = 6

2a = -6

a = -3

Then:

f(x) = x^3 - 3x^2 + b

Critical point at (2,3) means that when x = 2, y = 3, then:

3 = 2^3 - 3(2)^2 + b

8 - 12 + b = 3

b = 7

You can learn more about the critical point concept at brainly.com/question/2256078

4 0
1 year ago
3(n-t) what is it?
g100num [7]
3(n-t) = 3n- 3t
It is you mean about ?
3 0
2 years ago
7/3 into a mix number
goldenfox [79]

Answer: 2 1/3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Sam is observing the velocity of a car at different times. After three hours, the velocity of the car is 51 km/h. After five hou
bija089 [108]
It's not obvious here, but you're being asked to find a linear equation for the velocity of the car, given two points on the line that represents this velocity.

Find the slope of the line segment that connects the points (3 hr, 51 km/hr) and (5 hr, 59 km/hr).  Graph this line.  Where does this line intersect the y-axis?  Find the y-value; it's your "y-intercept," b.

Now write the equation:  velocity = (slope of line)*t + b

The units of measurement of "slope of line" must be "km per hour squared," and those of the "y-intercept" must be "km per hour."

Part B:  Start with the y-intercept (calculated above).  Plot it on the vertical axis of your graph.  Now label the horizontal axis in hours:  {0, 1, 2, 3, 4, 5, 6}.  Draw a vertical line through t=6 hours.  It will intercept both the horiz. axis and the sloping line representing the velocity as a function of time.  Show only the part of the graph that extends from t=0 hours to t=6 hours.

6 0
3 years ago
872.4 mm equals how many cm?
blagie [28]
There would be 87.24 cm in 872.4 mm
7 0
2 years ago
Read 2 more answers
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