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disa [49]
3 years ago
14

Help before 11:30. I mark as brainliest

Mathematics
1 answer:
Gwar [14]3 years ago
7 0

Answer:

1 and 3 promise

Step-by-step explanation:

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For what value of constant c is the function k(x) continuous at x = 0 if k =
nlexa [21]

The value of constant c for which the function k(x) is continuous is zero.

<h3>What is the limit of a function?</h3>

The limit of a function at a point k in its field is the value that the function approaches as its parameter approaches k.

To determine the value of constant c for which the function of k(x)  is continuous, we take the limit of the parameter as follows:

\mathbf{ \lim_{x \to 0^-} k(x) =  \lim_{x \to 0^+} k(x) =  0 }

\mathbf{\implies  \lim_{x \to 0 } \ \  \dfrac{sec \ x - 1}{x}= c }

Provided that:

\mathbf{\implies  \lim_{x \to 0 } \ \  \dfrac{sec \ x - 1}{x}= \dfrac{0}{0} \ (form) }

Using l'Hospital's rule:

\mathbf{\implies  \lim_{x \to 0} \ \  \dfrac{\dfrac{d}{dx}(sec \ x - 1)}{\dfrac{d}{dx}(x)}=  \lim_{x \to 0}   sec \ x  \ tan \ x = 0}

Therefore:

\mathbf{\implies  \lim_{x \to 0 } \ \  \dfrac{sec \ x - 1}{x}=0 }

Hence; c = 0

Learn more about the limit of a function x here:

brainly.com/question/8131777

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5 0
2 years ago
The temperature during the day in Miami was 92 degrees fahrenheit. During the night, the temperature fell 4 degrees fahrenheit.
BigorU [14]
You need to take away 4 degrees from 92.
"Take away" means subtraction.
92 - 4
The answer is option C.
4 0
3 years ago
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Bennett and Jarrett are both saving money to buy a new dirtbike’s
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THERES NO MATH SO I CANT ANSWER YOUR QUESTION
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Za and Z6<br> are<br> complementary angles. Za measures 78°.<br> What is the measure of Zb?
VARVARA [1.3K]

Answer:

\boxed{\angle b = 12 \degree}

Given:

\angle a \: and \: \angle b \: are \: complementary \: angles\\ \\ \angle a = 78 \degree

Step-by-step explanation:

Two Angles are Complementary when they add up to 90° (a Right Angle).

=  > \angle a + \angle b = 90 \degree \\  \\  =  >  78 \degree +  \angle b = 90\degree \\  \\  =  > \angle b = 90 \degree - 78 \degree \\  \\  =  >  \angle b = 12 \degree

5 0
3 years ago
A car can travel 38 miles on each gallon of gasoline at that rate how many gallons of gasoline take to travel 190
Lostsunrise [7]
The answer is 5 because if you divide 190 by 38, you get 5.

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