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n200080 [17]
2 years ago
13

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Mathematics
2 answers:
Over [174]2 years ago
5 0

Step-by-step explanation:

what was love What was this like? and who do you love

kramer2 years ago
3 0

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Use the following graph to estimate the rate of change of the function at x=0.6 using the points (0,0) and (1,−0.5)
svetoff [14.1K]

Answer:

The rate of change of the function at x = 0.6 is approximately -0.72

Step-by-step explanation:

The given information from the graph are;

Points (0, 0) and (1, -0.5)

We have that the graph is that of a cubic function, therefore;

f(x) = ax³ + bx² + cx + d

At f'(x) at  (0, 0) and (1, -0.5) = 0 gives;

3ax² + 2bx + c = 0

∴ c = 0

Also

ax³ + bx² + cx + d = 0

d = 0

We have

3a(1)² + 2b(1) + 0 = 0

3·a + 2·b = 0..............(1)

a(1)³ + b(1)² + c(1) + d = -0.5

a + b + 0×(1) + 0 = -0.5

a + b = -0.5..........(2)

Multiplying equation (2) by 2 and subtracting it from equation (1) gives;

2 × (a + b = -0.5) = 2·a + 2·b = -1

3·a + 2·b - (2·a + 2·b) = 0 - (-1) = 0 + 1 = 1

a = 1

From

a + b = -0.5, we have;

1 + b = -0.5 = 0

b = -0.5 - 1 = -1.5

The equation becomes

f(x) = x³ - 1.5·x²

The rate of change of the function at x = 0.6 is therefore given as follows;

f'(x) = 3 × x² - 2 × (1.5)·x = 3·x² - 3·x

At x = 0.6, we have;

f'(0.6) = 3·(0.6)² - 3·(0.6)

f'(0.6) = 3×0.6² - 3×0.6 = -0.72

The rate of change of the function at x = 0.6 ≈ -0.72

4 0
3 years ago
Someone?? Can you help me with this??
Vesna [10]

Answer:

which class question is this

3 0
3 years ago
Help please !!!!!!!!!!<br> I'll give brainly to whoever gets this correct
iris [78.8K]

The answer is B. It is shifted up by 6*1.5-2-2 with is 9-2-2=5.

5 0
2 years ago
PLEASE HELP I WILL GIVE BRAINLIEST!! PLEASE DONT PUT AN ABSURD ANSWER!<br> HURRY!!!
tiny-mole [99]
My answer is A. Hands down A.
5 0
2 years ago
Please answer fast please
juin [17]

#1:

A,B,C,E

#2:

12 edges, 12 vertices

7 0
3 years ago
Read 2 more answers
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