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3 years ago

What is the rate of change for f(x) = −2 cos 4x − 3 on the interval from x = 0 to x = pi over 4?

Mathematics

1 answer:

Ratling [72]3 years ago

4 0

f(pi/2) = -2cos(2pi-3) = -2cos(-3) = 2cos3

f(pi/4) = -2cos(pi-3) = -2cos(-3) = 2cos3.

So the rate of change is<span>on the interval from x = 0 to x = pi over 4 is:</span>

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What is the inverse of x^2-4x+5

lisabon 2012 [21]

we are given

$f(x)=x^2-4x+5$

Since, we have to find inverse of this function

step-1: we set f(x)=y

$y=x^2-4x+5$

step-2: switch x and y

$x=y^2-4y+5$

step-3: Solve for y

$y^2-4y+(5-x)=0$

now, we can use quadratic formula

$y=\frac{4+\sqrt{4^2-4(5-x)} }{2}$

$f^{-1}(x)=\sqrt{x-1}+2$

$f^{-1}(x)=-\sqrt{x-1}+2$ ..............Answer

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3 years ago

A local company makes a candy that is supposed to weigh 1.00 ounces. A random sample of 25 pieces of candy produces a mean of 0.

AysviL [449]

Answer:

$n=(\frac{2.58(0.004)}{0.001})^2 =106.50 \approx 107$

So the answer for this case would be n=107 rounded up to the nearest integer

Step-by-step explanation:

Information given

$\bar X= 0.996$ the sample mean

$s=0.004$ the sample deviation

$n =25$ the sample size

Solution to the problem

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =0.001 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

We can use as estimator of the real population deviation the sample deviation for this case $\hat \sigma = s$ / The critical value for 99% of confidence interval is given by $z_{\alpha/2}=2.58$ , replacing into formula (b) we got:

$n=(\frac{2.58(0.004)}{0.001})^2 =106.50 \approx 107$

So the answer for this case would be n=107 rounded up to the nearest integer

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3 years ago

5x-9y-42=?(x+6)-9(y+?)

iren [92.7K]

Answer:

5 8

Step-by-step explanation:

Coefficient of x should be 5 so first ? should be 5 let the second ? = z

5×6-9×z=-42

30+42=9z

z=8

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3 years ago

Read 2 more answers

A state's license plates consist of four letters followed by three numerals, and 242 letter arrangements are not allowed. How ma

PolarNik [594]

Answer: There are 456975758 plates that the state can issue.

Step-by-step explanation:

Since we have given that

Number of letters = 4

Number of numerals = 3

And 242 letter arrangements are not allowed.

As we have 26 letters i.e A-Z

and numerals i.e, 0-9

So, the number of plates would be

$(26^4)\times 10^3=456976000$

So, the restricted letters deducting would be

$456976000-242=456975758$

Hence, there are 456975758 plates that the state can issue.

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3 years ago

Jeffrey is scuba diving. His elevation changes by -5.5 inches every second. Jeffrey Dives for 30 seconds. What is the total chan

elena-s [515]

-165...you take -5.5 times 30 and you get -165

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2 years ago