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rodikova [14]
3 years ago
15

At what point on the curve x^2 + y^2 = 9 is the tangent line vertical?

Mathematics
1 answer:
Gemiola [76]3 years ago
7 0

x² + y² = 9 is the equation of a circle with center (0, 0) and radius 3.

This puts the vertices at (-3, 0), (3, 0), (0, -3), and (0, 3).

When is the tangent line vertical? <em>when it passes through the x-axis.</em>

Answer: (-3, 0), (3, 0)

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Cual es la derivada de ()=√x sin
fgiga [73]

Answer:

f(x) =\sqrt{x} sin (x)

And on this case we can use the product rule for a derivate given by:

\frac{d}{dx} (f(x)* g(x)) = f'(x) g(x) +f(x) g'(x)

Where f(x) =\sqrt{x} and g(x) =sin (x)

And replacing we have this:

f'(x)= \frac{1}{2\sqrt{x}} sin (x) + \sqrt{x}cos(x)

Step-by-step explanation:

We assume that the function of interest is:

f(x) =\sqrt{x} sin (x)

And on this case we can use the product rule for a derivate given by:

\frac{d}{dx} (f(x)* g(x)) = f'(x) g(x) +f(x) g'(x)

Where f(x) =\sqrt{x} and g(x) =sin (x)

And replacing we have this:

f'(x)= \frac{1}{2\sqrt{x}} sin (x) + \sqrt{x}cos(x)

3 0
3 years ago
A coin is tossed 4 times. Which of the following represents the probability of the coin landing on heads all 4 times?
galben [10]

Answer:

C.1/16

Step-by-step explanation:

When a coin is tossed 4 times, the number of outcomes are:

2^4 = 16

So,

From the outcomes, only one outcome will be when there will be all heads

So, the probability will be:

One out of the 16 outcomes

Hence, the probability of a coin landing on heads all 4 times is:

C.1/16

5 0
3 years ago
Can someone help me?
BabaBlast [244]
Both are equal because the distance from AB is equal to RS.
6 0
3 years ago
Simplify 18-6(2+4-1+2)÷3
Kryger [21]

Answer:

4

Step-by-step explanation:

Use PEDMAS

18 - 6(2+4-1+2) ÷ 3

18 - 6(6 - 1 + 2) ÷ 3

18 - 6(5 + 2) ÷ 3

18 - 6(7) ÷ 3

18 - 42 ÷ 3

18 - 14

4

Hope this helps!

5 0
3 years ago
A system of equations is shown below. Which statement about the ordered pair (-7,-3) is true?
antoniya [11.8K]
Answer:

C) It is the only solution to the system.

Step-by-step explanation:

3x + 3y = -30

2x + y = -17

3(-7) + 3(-3) = -30

-21 + -9 = -30

-30 = -30

True

2x + y = -17

2(-7) + (-3) = -17

-14 + -3 = -17

-17 = -17

True

7 0
3 years ago
Read 2 more answers
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