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4 years ago

What are the x-coordinates for the maximum points in the function f(x)=4cos(2x-pi) from x=0 to x=2pi?

1 answer:

wel4 years ago

6 0

The maximum value attained by the function will be 4
4 = 4cos(2x - π)
cos(2x - π) = 1
2x - π = 0
x = (nπ)/2
From x = 0 to x = 2π, n = 1, 2, etc
The equation will yield +4 for odd values of n and -4 for even values of n

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Please help me answer this !!!!

Studentka2010 [4]

Answer:

d = 101

Step-by-step explanation:

t = 11

11 x 11 = 121

-20 + 121 = 101

check: 101- 121 = -20 (correct)

4 0

3 years ago

A person invests 3000 dollars in a bank. The bank pays 6.75% interest compounded

stich3 [128]

Answer:

12.1 years

Step-by-step explanation:

We are given that

Principal amount, P=$3000

Rate of interest, r=6.75% semi-annually

Amount, A=$6700

We know that

When r pays semi-annually

$A=P(1+\frac{r}{n\times 100})^{nt}$

Where n=2

Using the formula

$6700=3000(1+\frac{6.75}{200})^{2t}$

$\frac{6700}{3000}=(1..03375)^{2t}$

$2.233=(1.03375)^{2t}$

Taking ln on both sides we get

$ln(2.233)=2t ln(1.03375)$

$2t=\frac{ln(2.233)}{ln(1.03375)}$

$t=\frac{1}{2}\times \frac{ln(2.233)}{ln(1.03375)}$

$t=12.1 years$

8 0

3 years ago

I WILL GIVE BRAINLIEST!!! Part A: The Sun produces 3.9 ⋅ 10^33 ergs of radiant energy per second. How many ergs of radiant energ

Tems11 [23]

Answer:

Part A: This can be solved using cancellation of units: Energy produced (ergs) = (3.9 x 10^ 33 ergs/ sec)( 1.55 x 10^7 sec) = 6.045 x 10^40 ergs Part B: The grooves within a CD is very small, therefore it would be more reasonable to have a value of 1.6 x 10^-3 mm

Hope this helped you!

Step-by-step explanation:

4 0

3 years ago

Will Give Brainliest<br> What Matrix Results From B+A

anastassius [24]

Answer:

Step-by-step explanation:

Matrix addition. If A and B are matrices of the same size, then they can be added. (This is similar to the restriction on adding vectors, namely, only vectors from the same space R n can be added; you cannot add a 2‐vector to a 3‐vector, for example.) If A = [aij] and B = [bij] are both m x n matrices, then their sum, C = A + B, is also an m x n matrix, and its entries are given by the formula

Thus, to find the entries of A + B, simply add the corresponding entries of A and B.

Example 1: Consider the following matrices:

Which two can be added? What is their sum?

Since only matrices of the same size can be added, only the sum F + H is defined (G cannot be added to either F or H). The sum of F and H is

Since addition of real numbers is commutative, it follows that addition of matrices (when it is defined) is also commutative; that is, for any matrices A and B of the same size, A + B will always equal B + A.

6 0

3 years ago

According to the US Census Department, someone born in 1950 has a life expectancy

babymother [125]

Answer:

a) 69.5 b)72.1 c)74.7

Step-by-step explanation:

a)Someone born in 1950 has life expectancy=68.2 yrs while 1970=70.8 yrs

to find life expectancy of someone born in 1960 we can interpolate to find the results like this:

(68.2+70.8)/2 =69.5 because 1960 is exactly in between 1950 and 1970

Now we can see the trend like this :

68.2,69.5,70.8 and common difference is 1.3

b) adding 1.3 to 70.8 we can get life expectancy for someone born i 1980 and that is 72.1

c) adding two times 1.3 life expectancy of someone born in 2000 is 74.7 as year gap is 2

Generally it is said that interpolation is more accurate and extrapolation can have errors but in our present case i'm more confident about b and c as the series is simple but it too depends on a to find the accurate common difference so if there is some errror in a we too have error chances in b and c so they are interrelated.

8 0

4 years ago