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vredina [299]
2 years ago
12

The table provides various values, including all zeroes, of a tangent function f(x) on the interval [-pi, pi]

Mathematics
1 answer:
swat322 years ago
7 0

The period of the tangent function is given by:

b) 2pi

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

It is the distance between the repetition of the function. If a function is defined on an interval and said to be periodic, the period is the length of the interval.

In this problem, the interval is [-\pi, \pi], and after that the values will start repeating, hence the period is:

p = \pi - (-\pi) = 2\pi

Thus option b is correct, as the period is of 2\pi.

You can learn more about period of a function at brainly.com/question/16818112

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Write a quadratic function in standard form with axis of symmetry x=-5 and y -intercept 3 .
Bezzdna [24]

Answer:

follow the statement below

Step-by-step explanation:

The question you presented here has multiple (un-limited) solutions unless you have another condition to solve for a single solution.

Equation: y = ax² + bx + c

y intercept (0 , 3): c = 3

axis of symmetry x=-5, therefore a corresponding point (-10,3) on the curve

3 = a*(-10)² + b*(-10) + 3

100a - 10b = 0

b = 10a  .... any pair like a=0.5 b=5; a=1 b=10 0r a=2 b=20 ..... all fit the function

y = 0.5x² + 5x +3

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........................

8 0
3 years ago
You drop a ball from a height of 0.5 meters. Each curved path has 52% of the height of the previous path. a. Write a rule for th
Verizon [17]

Answer:

a) a_n = 50 (0.52) ^ {n-1}

b) a_6 = 50 (0.52) ^ 5 = 1.90\ cm

Step-by-step explanation:

If each curved path has 52% of the previous height this means that \frac{a_{n+1}}{a_n} = 0.52

Then the radius of convergence is 0.52 and this is a geometric series.

The geometric series have the form:

a_n = a_1 (r) ^ {n-1}

Where

a_1 is the first term of the series and r is the radius of convergence.

In this problem

a_1 = 0.5 meters = 50 cm

r = 0.52

a) Then the rule for the sequence is:

a_n = 50 (0.52) ^ {n-1}

b) we must calculate a_6

a_6 = 50 (0.52) ^ 6-1\\\\a_6 = 50 (0.52) ^ 5 = 1.90\ cm

3 0
3 years ago
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