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Westkost [7]
3 years ago
15

Find the average rate of change for the given function from x = 1 to x = 2.

Mathematics
1 answer:
Akimi4 [234]3 years ago
3 0

Answer:

d. 2

Step-by-step explanation:

The average rate of change is found from ...

... (f(x2) -f(x1))/(x2 -x1) = (5 - 3)/(2 -1) = 2/1 = 2

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3(x - 4) + 8(x + 2).
FromTheMoon [43]
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The pattern for the kite calls for 169 square inches of fabric. What is the
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13 inches.

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Brayden's horse gained 9 pounds over a 3 week
mr_godi [17]
30 pounds after 10 weeks
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3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20express%20%5C%3A%20%20%5C%3A%20%5Csin%282x%29%20%20-%20%20%5Csqrt%7B3%7D%20%20%5Ccos%282x%2
gizmo_the_mogwai [7]

Answer:

α = π/3

γ = 2

x = -3π/4, -5π/12, π/4, 7π/12

Step-by-step explanation:

Easiest way to do this is in reverse.

γ sin(2x − α)

Angle sum/difference formula:

γ (cos α sin(2x) − sin α cos(2x))

Distribute:

γ cos α sin(2x) − γ sin α cos(2x)

Matching the coefficients:

γ cos α = 1

γ sin α = √3

Solve the system of equations.  Divide to eliminate γ:

tan α = √3

α is between 0 and π/2, so:

α = π/3

γ = 2

sin(2x) − √3 cos(2x) = 1

Using the identity from before:

2 sin(2x − π/3) = 1

Solving:

sin(2x − π/3) = 1/2

2x − π/3 = π/6 + 2kπ or 5π/6 + 2kπ

2x = π/2 + 2kπ or 7π/6 + 2kπ

x = π/4 + kπ or 7π/12 + kπ

x is between -π and π, so:

x = -3π/4, -5π/12, π/4, 7π/12

7 0
3 years ago
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