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3 years ago

Vhich of the following functions have graphs that oscillate? Select all that apply

Mathematics

1 answer:

gladu [14]3 years ago

6 0

Answer:

Only options A and B are correct, i.e. y = sin∅ and y = cos∅.

Step-by-step explanation:

The graphs that oscillate, should be periodic in nature and continuous functions.

We know all trigonometric functions are periodic in nature. But not all trigonometric functions are continuous.

The function is continuous if its values are defined at all angles and it should not be undefined for any particular angle.

We know the following facts:-

tan(90°) = ∞

sec(90°) = ∞

csc(0°) = ∞

cot(0°) = ∞

Only sin and cos don't have values ∞ at any angle. It means only sin and cos are continuous functions.

Hence, only options A and B are correct, i.e. y = sin∅ and y = cos∅.

You might be interested in

Determine whether the vectors u and v are parallel, orthogonal, or neither.

Natalija [7]

$\mathbf u\cdot\mathbf v=\|\mathbf u\|\|\mathbf v\|\cos\theta$

where $\theta$ is the angle between the vectors. You have

$10\times9+6\times5=\sqrt{10^2+6^2}\sqrt{9^2+5^2}\cos\theta\iff \cos\theta=\dfrac{30}{\sqrt{901}}\implies \theta\approx1.909^\circ$

The vectors would be orthogonal if the dot product had been zero, but that's clearly not the case.

They would be parallel if the angle turned out to be $0^\circ$ or $180^\circ$ , but that's also not the case.

So the answer is neither.

4 0

3 years ago

Solve. 3x + 3 < 93- 6

AlladinOne [14]

Well this is easy.

We have linear inequality,

$3x+3 < 93 -6$

Simplifying this a bit to get,

$3x < 84$

Divide by 3 (both sides),

$x < 28$

Or with interval notation, $x\in (-\infty, 28)$ .

Hope this helps. :)

3 0

3 years ago

For which value of x is line l parallel to line m? A. 28 B. 62 C. 22 D. 68

Rudiy27

For line l parallel to line m, the interior angles on the same side of the transversal should add upto 180° or in better words, they must be supplementary.

So, we can write that,

(2x + 6)° and 130° are supplementary.

⇛ 2x° + 6° + 130° = 180°

⇛ 2x° + 136° = 180°

⇛ 2x° = 44°

⇛ x° = 22°

The value of x for which line l is parallel to line m,

$\large{ \boxed{ \bf{ \red{x = 22 \degree}}}}$

And we are done !!

#CarryOnLearning....

━━━━━━━━━━━━━━━━━━━━

3 0

3 years ago

The n number of homeruns hit during the regular season by a certain baseball player can be modeled by the function n(x) =3/4x, w

sukhopar [10]

Answer:

The average rate of change is equal to $\frac{3}{4}\frac{homeruns}{game}$

Step-by-step explanation:

we have

$n(x)=\frac{3}{4}x$ -----> this is a linear direct variation

we know that

The rate of change of a linear variation is a constant

The rate of change of a linear variation is equal to the slope of the line

In this problem the slope of the line is equal to $m=\frac{3}{4}\frac{homeruns}{game}$

therefore

The average rate of change is equal to $\frac{3}{4}\frac{homeruns}{game}$

Verify

the average rate of change is equal to

$\frac{n(b)-n(a)}{b-a}$

In this problem we have

$n(a)=n(12)=\frac{3}{4}(12)=9\ homeruns$

$n(b)=n(60)=\frac{3}{4}(60)=45\ homeruns$

$a=12\ games$

$b=60\ games$

Substitute

$\frac{45-9}{60-12}=\frac{3}{4}\frac{homeruns}{game}$

4 0

3 years ago

NEED HELP!! Scenario #1: You flip a coin and roll a six sided die. What is the probability that you will flip heads and roll a n

leva [86]

Scenario #1:

Flipping a coin and rolling a die are independent events, so the combined probability is the product of the individual probabilities.

Flipping a coin: There are two different possible outcomes, heads and tails. You are interested in heads. You are interested in 1 outcome out of 2.

p(heads) = 1/2

Rolling a die: There are 6 different possible outcomes, the numbers 1, 2, 3, 4, 5, and 6. You are interested in a number greater than 2, so your desired outcomes are 3, 4, 5, 6, which means 4 different desired outcomes out of 6.

p(die toss greater than 2) = 4/6 = 2/3

Combined probability:

p(heads followed by number greater than 2) =

= p(heads) * p(die toss greater than 2)

= 1/2 * 2/3

= 1/3

Scenario #2:

There are 4 colors on the spinner. For each color on the spinner, the die can land on one of 6 numbers. 4 * 6 = 24. There are 24 different combined outcomes.

You are interested in blue OR 6. Six outcomes have blue and a number from 1 to 6. Then if the spinner lands in any of the other 3 colors, each one has one outcome of 6 with that color. The total number of desired outcomes is 6 + 3 = 9.

Number of desired outcomes: 9

Number of possible outcomes: 24

p(blue or 6) = 9/24 = 3/8

Final Question:

The scenario that gives you better odds is Scenario #2 since 3/8 > 1/3.

4 0

3 years ago