1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
melisa1 [442]
3 years ago
13

Suppose that f(x) is an EVEN function and let the integral f(x) dx from 0 to 1=5 and the integral f(x) dx from 0 to 7 =1. What i

s the integral from f(x) dx from -7 to -1?
Mathematics
1 answer:
Cerrena [4.2K]3 years ago
4 0
<span>Since it's even, the integral from -7 to -1 is the same as the integral from 1 to 7.
</span><span>think about
x^2 from 0..1,its 1/3
from 0..7 its 7^3/3
from -1..7 its 7^3/3+1/3
</span>
<span>from -7..-1 of x^2 its -1/3+7^3/3 to get this without integrating we just do 7^3/3-1/3 which is the integral from 0..7 minus the integral from 0..1
</span><span>So the integral from 1 to 0 f(x) dx = 5 changes to the integral from 0 to 1 f(x) dx = -5 and you add it to the integral from 0 to 7 which is 1 making -4</span>
You might be interested in
Simplify (2x-2)/(x-1). Show work.
kozerog [31]

Answer:

\frac{(2x - 2)}{(x - 1)}

=  \frac{2(x - 1)}{x - 1}

= 2

3 0
3 years ago
The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 ci
Olenka [21]

Answer:

The correct answer is

(0.0128, 0.0532)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

In a random sample of 300 circuits, 10 are defective. This means that n = 300 and \pi = \frac{10}{300} = 0.033

Calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool.

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 - 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0128

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 + 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0532

The correct answer is

(0.0128, 0.0532)

4 0
3 years ago
F(x) = (x + 2) (x - 7)3
mote1985 [20]

Answer:

y=3x^2 -15x-42

Step-by-step explanation:

8 0
3 years ago
If A = (9, 18) and B = (1, 12), what is the length of AB
musickatia [10]

Answer:

the length is 10

Step-by-step explanation:

√(1 - 9)2 + (12 - 18)2 =

√(-8)2 + (-6)2 = √64 + 36 =

√100= 10

8 0
3 years ago
Read 2 more answers
Solve |z-8|=4 a) z=-4, z=4 b) z=-12,z=12 c)z=-12,z=-4 d)z=4, z=12
mylen [45]

Answer:

We have z - 8 = 4 or z - 8 = -4;

Then, z = 12 or z = 4;

The correct answer is d).

Step-by-step explanation:


8 0
3 years ago
Other questions:
  • If three quarters of a number decreased by twenty is equal to eighty two, what is that number?
    8·1 answer
  • 43.0129 to the nearest hundredths
    7·2 answers
  • 13 + 31 = 24 not 44 how on earth is this possible all help is great. Thanks.
    6·1 answer
  • Jovie is maintaining a camp fire. She has kept the fire steadily burning for 10 hours with 15 logs. She wants to know how many h
    6·2 answers
  • Find the area of the composite figure below
    6·1 answer
  • Four more than a number tripled
    12·1 answer
  • We will find the solution to the following lhcc recurrence: an=8an−1−16an−2 for n≥2 with initial conditions a0=4,a1=7. The first
    7·1 answer
  • 3/4 of x, if x= 15/28<br> PLS HELP!!!
    15·2 answers
  • N-9 = 13<br> ------------------
    5·2 answers
  • I’ll give 100 points
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!