All categories

3 years ago

Do I have this one correct

Mathematics

1 answer:

nikklg [1K]3 years ago

8 0

Answer:

Option B is correct

Step-by-step explanation:

Given is a cos funciton.

Period = 3

Max = 20 and minimum =0

Hence centre line is y = 1/2 (max+min)

i.e. y =10 is the central line

Let the funciton be of the form

y = a cos (bx+C)+d

We got d = 10...i

Period =3

Hence b = $\frac{2\pi}{3}$ ... ii

Amplitude = a = distance of max from central line = 20-10 =10...iii

Since reflection over x axis, sign of a =negative

a=-10

Since no horizontal shift, c=0 ... iv

Put to gether the function is

$y=-10cos\frac{2\pi x}{3} +10$

You might be interested in

use Taylor's Theorem with integral remainder and the mean-value theorem for integrals to deduce Taylor's Theorem with lagrange r

Vadim26 [7]

Answer:

As consequence of the Taylor theorem with integral remainder we have that

$f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \cdots + \frac{f^{(n)}(a)}{n!}(x-a)^n + \int^a_x f^{(n+1)}(t)\frac{(x-t)^n}{n!}dt$

If we ask that $f$ has continuous $(n+1)$ th derivative we can apply the mean value theorem for integrals. Then, there exists $c$ between $a$ and $x$ such that

$\int^a_x f^{(n+1)}(t)\frac{(x-t)^k}{n!}dt = \frac{f^{(n+1)}(c)}{n!} \int^a_x (x-t)^n d t = \frac{f^{(n+1)}(c)}{n!} \frac{(x-t)^{n+1}}{n+1}\Big|_a^x$

Hence,

$\int^a_x f^{(n+1)}(t)\frac{(x-t)^k}{n!}d t = \frac{f^{(n+1)}(c)}{n!} \frac{(x-t)^{(n+1)}}{n+1} = \frac{f^{(n+1)}(c)}{(n+1)!}(x-a)^{n+1} .$

Thus,

$\int^a_x f^{(n+1)}(t)\frac{(x-t)^k}{n!}d t = \frac{f^{(n+1)}(c)}{(n+1)!}(x-a)^{n+1}$

and the Taylor theorem with Lagrange remainder is

$f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \cdots + \frac{f^{(n)}(a)}{n!}(x-a)^n + \frac{f^{(n+1)}(c)}{(n+1)!}(x-a)^{n+1}$ .

Step-by-step explanation:

5 0

3 years ago

What is m-a = n+p, for a

sergeinik [125]

Answer:

A=m-n-p

Step-by-step explanation:

So solve for a, we have to isolate it on one side, so -a=n+p-m. So a=m-n-p

5 0

3 years ago

Read 2 more answers

Is (A) correct or no????

Maslowich

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Favorite food pizza35 hotdog30 hamburger 200 whta percatage is all student's count

FromTheMoon [43]

Answer:

265

Step-by-step explanation:

200+30=230

230+30=260

260+5=265

6 0

3 years ago

Matt started doing extra chores around the house and his allowance changed from $30 per week to $40 per week. What is the percen

slega [8]

Answer:

33.3%

Step-by-step explanation:

Let's say the percent change is x%. Then the equation is:

30 + x% * 30 = 40

Subtract 30 from both sides:

x% * 30 = 10

Divide by 30:

x% = 10/30 = 1/3

Remember that % simply means "out of 100", so:

x/100 = 1/3

Multiply both sides by 100:

x = (1/3) * 100 = 33.3%

3 0

3 years ago

Read 2 more answers