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Juliette [100K]
3 years ago
8

Help with the question above please!!

Mathematics
1 answer:
dsp733 years ago
3 0

Answer:

B, 107°

Step-by-step explanation:

The angle ADC is an inscribed angle and the measure of it is equal to half of the arc it sees which is arc ABC

The measure of arc ABC is 132° + 82° = 214° so the measure of angle <ADC is 214° ÷ 2 = 107°

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Answer:

max{x²-4x²+5} = 5 at x = 0

Step-by-step explanation:

1. Find the critical numbers by finding the first derivative of f(x), set it to 0 and solve for x.

f'(x)=0

We get:

f(x) = -3x^2+5\\f'(x) = -6x\\-6x = 0\\x = 0

So the critical number is x = 0.

2. Evaluate the first derivative by plugging in the critical number and see if the derivative is positive or negative on both sides:

f'(x) is positive when the x < 0 (for example: -6*(-1)=+)

f'(x) is negative when the x > 0 (for example: -6*(1)=-)

Therefore, you have a local maximum.

Now just get the Y value by plugging in the critical number in the original function. f(0)=5

local maximum is (0,5)

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