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evablogger [386]
3 years ago
8

Describe the x-values at which f is differentiable.​

Mathematics
1 answer:
Sedbober [7]3 years ago
5 0

Answer:

Step-by-step explanation:

Differentiability at a point implies no sudden changes in the slopes from one side to the other; that is, the derivative must have the same value.

Differentiating x^2 - 6 and 6 - x^2, we get 2x = -2x, whose only solution is zero (0).  The two halves of the given function have the same slope (0) at x = 0.

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. Find the value of sec θ for the angle shown. (2 points) A line is drawn from the origin through the point seven comma six. The
choli [55]

Answer:  \frac{\sqrt{85}}{7}

<u>Step-by-step explanation:</u>

(7, 6)

Use Pythagorean Theorem to find the hypotenuse:

7² + 6² = c²

49 + 36 = c²

   85      = c²

   √85  = c

adjacent = 7, opposite = 6, hypotenuse = √85

sec θ = \frac{hypotenuse}{adjacent} = \frac{\sqrt{85}}{7}

8 0
3 years ago
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How many solutions does the system of equations have?
34kurt

Answer:

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Step-by-step explanation:

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3 years ago
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GaryK [48]
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5 0
3 years ago
How are y-intercepts of y=(1/3)^x and y=5(1/3)^x different?
loris [4]
Remark.
The easiest way to do this question is to graph it. Start with that.
The red line is y = (1/3)^x
The blue line is y = 5*(1/3)^x

Comment
The red line's y intercept is (0,1)
The blue line's y intercept is (0,5)

Why
If the x value is 0 then (1/3)^0 = 1
y = (1/3)^0 = 1 * 1 = 1 and for the blue graph
y =  5*(1/3)^0 = 5*1 = 5

In other words, in this set of equations, the 5 makes the y intercept 5 times larger than the 1 in front of y = (1/3)^x

If you have choices, could you please list them? I may be giving you the right answer but not in the form required.

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Answer:

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2 years ago
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