Which trigonometric function is an odd function and why?

The value limx→∞g(x) is zero option (c) is correct.

The differential equation involves the function and its derivative to represent a relationship between the functions and their derivative. In simple words, the differential equation is the mathematical relation that consists of one or more functions with its derivative.

We have a differential equation:

[tex]\rm \frac{dy}{dx} =y^2(4-y^2)[/tex]

[tex]\rm\frac{dy}{y^2(4-y^2)} = dx[/tex]   (rearranging the equation to solve)

[tex]\int \rm\frac{dy}{y^2(4-y^2)} = \int dx[/tex]

[tex]\rm \frac{ln(|y+2|)}{16} -\frac{1}{4y} -\frac{ln(|y-2|)}{16} = x+c[/tex]    (after integrating both sides)

For the given initial condition g(-2) = -1

When x = -2, y = -1

[tex]\rm \frac{ln(|-1+2|)}{16} -\frac{1}{4(-1)} -\frac{ln(|-1-2|)}{16} = -2+c[/tex]

[tex]\rm \frac{1}{4} -\frac{ln(|-3|)}{16}+2 = c[/tex]

The value of c = 2.18

The equation we get:

[tex]\rm \frac{ln(|y+2|)}{16} -\frac{1}{4y} -\frac{ln(|y-2|)}{16} = x+2.18[/tex]

As we can see the value of g(-2) is negative and from the graph of the above equation it goes to infinity and it touches the x-axis at the infinity.

The value   [tex]\displaystyle \lim_{x \to \infty}g(x)[/tex] when x reaches infinity the value of function g(x) becomes zero. ie.

[tex]\displaystyle \lim_{x \to \infty}g(x) =0[/tex]

Thus, the value  [tex]\displaystyle \lim_{x \to \infty}g(x)[/tex] is zero option (c) is correct.

Learn more about the differential equation here:

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Answer:

C

Step-by-step explanation:

if it has a base area that means 500/4 = 125 so each side is 125 on the base.

The formula for the volume of a triangular pyramid is 1/3lwh.

if L=125 and w=125 and H= 30

we multiply 125·125·30=468750

and 468750/3=156250

so rounding that, our base would be C)15,000

Answer:

Step-by-step explanation:

If im correct it will be no because...

18 x 3 = 54

Now you do

54 + 54 = 216

I might be right or wrong (sorry if i got it wrong)

Answer:

Betsy's Calculations in step 1 are Incorrect because she should have multiplied 18*3^4 before adding 3

Betsy's Calucations in step 2 are Incorrect because she did not find the correct value of 3^4

If Betsy reaches her goal each year, she will have 1,466 customers 4 years from now.

Step-by-step explanation:

God helped me plus i had this question on the Iready 7th grade math diagnostic

9514 1404 393

Answer:

  5.6 °C

Step-by-step explanation:

Put the number in the formula and do the arithmetic.

  C = 5/9(42 -32) = 5/9(10) = 50/9 = 5 5/9

  42 °F ≈ 5.6 °C

This question is not complete, the complete question is;

When confronted with an in-flight medical emergency, pilots and crew can consult staff physicians at a global response center located in Arizona. If the global response center is called, there is a 4.8 percent chance that the flight will be diverted for an immediate landing. Suppose the response center is called 8,465 times in a given year.

a) What is the expected number of diversions

b) What is the probability of at least 400 diversions

c) What is the probability of fewer than 450 diversions?

Answer:

a) expected number of diversions μ is 406.32

b) the probability of at least 400 diversions is 0.6368

c) the probability of fewer than 450 diversions is 0.9861

Step-by-step explanation:

Given the data in the question;

n = 8465

π = 4.8% = 0.048

so expected number of diversions μ = nπ = 8465 × 0.048 = 406.32

and

σ = √(π(1 - π ) = √(8465 × 0.048(1 - 0.048 ) = √( 406.32 × 0.952 )

σ = √386.81664

σ = 19.6677

b) the probability of at least 400 diversions

P(at least 400 diversion ) = P( X ≥ 400 )

= P( X ≥ 399.5 )

so

z = (X - μ) / σ

we substitute

z = (399.5 - 406.32 ) / 19.6677

z = -6.82 / 19.6677

z = -0.35

so

P(Z > -0.35 ) = 0.500 + p( -0.35 ≤ z ≤ 0 )

= 0.5000 + p( 0 ≤ z ≤ 0.35 )

= 0.5000 + 0.1368

= 0.6368

Therefore, the probability of at least 400 diversions is 0.6368

c)  the probability of fewer than 450 diversions

P(fewer than 450 diversion ) = P( X ≤ 450 )

= P( X ≤ 449.5 )

so

z = (X - μ) / σ

we substitute

z = (449.5 - 406.32 ) / 19.6677

z = 43.18 / 19.6677

z = 2.20

so

P(Z ≤ 2.20 ) = 0.500 + p( 0 ≤ z ≤ 2.20 )

= 0.5000 + 0.4861

= 0.9861

Therefore, the probability of fewer than 450 diversions is 0.9861

Answer:

c

Step-by-step explanation:

Answer:

i think it d

Step-by-step explanation:

sorry if it turn out wrong

Answer:

C. 95%

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 1189 points, standard deviation of 397 points.

Percentage between 395 and 1983 points?

395 = 1189 - 2*397

1983 = 1189 + 2*397

So within 2 standard deviations of the mean, which by the Empirical Rule is approximately 95%, and the answer is option C.

Answer:

Pounds for cashew- 20.96

Pounds for Brazilian nut- 11.04

Step-by-step explanation:

Let c be the pounds of cashew

Let b ne the pound of Brazilian but

32×6.24

= 199.68

7.1c + 4.60b= 199.68.......equation 1

c + b= 32..........equation 2

From equation 2

c= 32-b

Sub 32-b for c in equation 1

7.1(32-b) + 4.60b= 199.68

227.3-7.1b+4.60b, = 199.68

227.3-2.5b= 199.68

-2.5b= 199.69-227.3

- 2.5b= -27.61

b= 27.61/2.5

b= 11.04

Sub 11.04 for b in equation 2

c+b= 32

c + 11.04= 32

c= 32-11.04

c= 20.96

Answer:

cot theta = -√3

Step-by-step explanation:

we are given that  cos theta = - √3/2 within the range 180° < theta < 270° and

since cos theta = adj/hyp

adj = - √3

hyp = 2

Get the opposite using the pythagoras theorem

hyp^2 = opp^2 + adj^2

2² = opp² + (-√3)²

4 = opp² + 3

opp² = 4-3

opp² = 1

opp = 1

tan theta = opp/adj

tan theta = - 1/√3

Recall that cot theta = 1/tan theta

cot theta = 1/(-1/√3)

cot theta = -√3

Answer:

-12,1

(-12î, 1j)

is the ans

Answer:

The answer is, (-12î, 1j)

Step-by-step explanation:

The ordered pair that describes the changes in the x- and y-values is the component form of a vector. the ordered pair that describes the changes is [tex](x_{2} -x_{1} ,y_{2} -y_{1} )[/tex].

According, to the question:

= (-11-1),(-2+3)

= -12,1

= (-12î, 1j)

The component form are (-12î, 1j)

To know more component form here, https://brainly.com/question/13450744

#SPJ2

Answer:

B. A linear regression t-interval for slope

Step-by-step explanation:

Given the data for the critic rating and audience score, the relationship between this vmaues acb be modeled using regression, the slope value helps give the average change in the dependent variable (audience svi per unit change in the value of the independent variable (critic rating). The t distribution is employed due to the relatively small sample size which

does not form an approximately normal distribution according to the Central limit theorem.

Answer:

$1612

Step-by-step explanation:

12% of 2400

12/100 * 2400

0.12 * 2400 = 288

Amount to be paid :

2400 - 288 = 2112

Down payment = $500

Amount owed =

Amount to be paid - Down payment

$2112 - $500

= $1612

Hence, amount owed for installment loan = $1612

Answer:

105

Step-by-step explanation:

42 * 2 = 84

360 - ( 84+171 ) = 105

Answer:

arc RS = 105°

Step-by-step explanation:

arc RT = 2(42°) = 84°

arc RS = 360° - 84° - 171° = 105°

Answer:

C) 1,048,576 clones

Step-by-step explanation:

An army of clone warriors is quadrupling every year.

This means that the amount of clone warriots after t years is given by:

[tex]A(t) = A(0)4^t[/tex]

Started with only one warrior:

This means that [tex]A(0) = 1[/tex], so:

[tex]A(t) = 4^t[/tex]

How many clones will there be in a decade?

A decade is 10 years, so this is A(10).

[tex]A(10) = 4^{10} = 1,048,576[/tex]

The correct answer is given by option C.

Answer:

(a+3)(a+6)

Step-by-step explanation:

a(a+6)+3(a+6)

(a+3)(a+6)

Answer:

C. Many ang sagot............

Answer:

1.8

Step-by-step explanation:

you have to divide 9 from 5 to get 1.8

Answer:

Decimal 1.8

Percentage 180%

Step-by-step explanation:

Answer:

13 + 3x = 34

Variables:

x = random number

Answer:

C

Step-by-step explanation:

Hope this helps! Good Luck!

a

explanation

1/5280 = 5/x

the 1 and 5 represent the miles

5280 and x represent the total ft

Answer:

10 units I believe......

Answer:

The area is 10 sq. units

Step-by-step explanation: (-2, 1) would change to (-2, 0). So the width changes to 2 and the length becomes 5, making the area 10 sq. units

Answer:linear binomial

Step-by-step explanation:

Answer:

B) Linear binomial.

Step-by-step explanation:

????

Answer:

it's the second to last one on the right side

Answer: (Not if I'm involved!)

Move the dot to the fourth tick mark to the right of zero.

Step-by-step explanation:

Each of the tick marks represent two, & 8 is the fourth positive multiple of 2. So move the dot to the fourth tick mark to the right of zero, which will represent 8.

Answer:

Step-by-step explanation:

x - y = 33

x/y = 5/2      Multiply both sides by y

y*x/y =5y/2

x = 5y/2       Multiply both sides by 2

2x = 5y        Multiply the top equation by 2. Bring 5y to the left

2x - 2y = 66

====================

2x - 5y = 0

2x - 2y = 66 Subtract

-3y = - 66      Divide by - 3

y = 22

x - y = 33

x - 22 = 33    Add 22 to both sides

x = 22 + 33

x = 55

Answer:

x° = 99°

Step-by-step explanation:

Sum of angles on a straight line is 180°.

Sum of angles in a triangle is 180°. Let u be the value of the unknown angle in the triangle.

u° = 180° - 57° - 42°

u° = 81°

Sum of angles on a straight line is 180°.

x° = 180° - 81°

x° = 99°

Answer:

1

Step-by-step explanation:

4/5 is closer to 1