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Leto [7]
3 years ago
6

2(1/2q+1)=-3(2q-1)+4(2q+1)

Mathematics
1 answer:
babymother [125]3 years ago
6 0
1q+2=-6q+3+8q+4
1q+2=2q+7
<span>-2q    -2q
</span>-q+2=7
<span>    -2 -2
</span>-q=<span>5
-1  -1
q=-5
</span>

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Given f(x) = -3x - 2 find the foloeing
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Answer:

f(x) = -3x - 2

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Domain R

Range R

Step-by-step explanation:

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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
2 years ago
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Hope this helped








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