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2 years ago

Select the graph of y=cot x.

Mathematics

1 answer:

Kisachek [45]2 years ago

7 0

Because of the vertical asymptote and the change in concavity, we conclude that the correct option is B.

<h3>Which is the graph of cotangent of x?</h3>

Remember that cot(x) = 1/tan(x).

Then we can rewrite:

cot(x) = cos(x)/sin(x).

We know that for x = 0, we have:

cot(0) = cos(0)/sin(0) = 1/0

Then we have a vertical asymptote that tends to ± infinity.

The only graph that meets this condition is the second and the third one, and by the curvature (we need to have a change of concavity/convexity) in the tangent function.

From that, we conclude that the correct option is B.

If you want to learn more about trigonometric functions:

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What is the lest common denominator of 1/12 and 5/8

Sonja [21]

The LCM is 24.
1/12=2/24
5/8=15/24

6 0

3 years ago

7x ( 3 x 4) = ( 7 x 3) x4

WARRIOR [948]

Commutative, because no matter how you group the equation you will still get to same answer

4 0

3 years ago

Jerry charges $15 for each lawn that he cuts. Depending homework and chores, he has time to cut at most 10 lawns a week. Jerry h

vova2212 [387]

Answer: D) Number of yards Jerry cuts; 0 ≤ x ≤ 10

Step-by-step explanation:

Here the given function that describes the total profit,

y = 15 x - 10

Where x represents the number of lawns Jerry cut in a week.

But, Depending homework and chores, he has time to cut at most 10 lawns a week.

Thus, x ≤ 10

Also, the number of lawns can not be negative.

Therefore, x ≥ 0

And, the value of x will decide the domain of the function y,

Thus, the domain of the given function is,

0 ≤ x ≤ 10

⇒ Option D is correct.

6 0

3 years ago

Read 2 more answers

Noah and his grandfather were returning home from a walk. When they were 800 m away from the house, the grandfather said that he

sammy [17]

They met 480 meters from the house.

<h3><u>Calculus</u></h3>

Given that Noah and his grandfather were returning home from a walk, and when they were 800 m away from the house, the grandfather said that he was thirsty, so Noah immediately ran home, got a bottle of water, and ran back to meet his grandfather who never stopped walking at a steady pace, to determine how many meters from the house did they meet if noah ran four times as fast as his grandfather walked, the following calculation must be made:

200 x 4 = 800 - 200 = 600
300 x 4 = 1200 - 800 - (800 - 300) = 100
325 x 4 = 1300 - 800 - (800 - 325) = -25
320 x 4 = 1280 - 800 - (800 - 320) = 480 - 480 = 0

Therefore, they met 480 meters from the house.

Learn more about calculus in brainly.com/question/26453068

3 0

3 years ago

Find the value of x.

Lemur [1.5K]

Answer:

137

Step-by-step explanation:

6 0

2 years ago