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
masya89 [10]
3 years ago
15

Find the limit of the function algebraically. alt='limit as x approaches zero of quantity negative seven plus x divided by x squ

ared.'

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
5 0

Answer:

lim x->0 (-8+x)/x^2

just plug in x = 0

(-8+0)/0

now this fraction is a negative number divided by 0.

So, it equals -infinity.

The limit value is infact -infinity,

so the given option, "Does Not Exit" is the best choice.

You might be interested in
Write a congruence statement for the pair of triangles zyb
Ray Of Light [21]
<span>(triangle) ZYB to (triangle) OWR by sss</span>
5 0
3 years ago
(c). It is well known that the rate of flow can be found by measuring the volume of blood that flows past a point in a given tim
aleksklad [387]

(i) Given that

V(R) = \displaystyle \int_0^R 2\pi K(R^2r-r^3) \, dr

when R = 0.30 cm and v = (0.30 - 3.33r²) cm/s (which additionally tells us to take K = 1), then

V(0.30) = \displaystyle \int_0^{0.30} 2\pi \left(0.30-3.33r^2\right)r \, dr \approx \boxed{0.0425}

and this is a volume so it must be reported with units of cm³.

In Mathematica, you can first define the velocity function with

v[r_] := 0.30 - 3.33r^2

and additionally define the volume function with

V[R_] := Integrate[2 Pi v[r] r, {r, 0, R}]

Then get the desired volume by running V[0.30].

(ii) In full, the volume function is

\displaystyle \int_0^R 2\pi K(R^2-r^2)r \, dr

Compute the integral:

V(R) = \displaystyle \int_0^R 2\pi K(R^2-r^2)r \, dr

V(R) = \displaystyle 2\pi K \int_0^R (R^2r-r^3) \, dr

V(R) = \displaystyle 2\pi K \left(\frac12 R^2r^2 - \frac14 r^4\right)\bigg_0^R

V(R) = \displaystyle 2\pi K \left(\frac{R^4}2- \frac{R^4}4\right)

V(R) = \displaystyle \boxed{\frac{\pi KR^4}2}

In M, redefine the velocity function as

v[r_] := k*(R^2 - r^2)

(you can't use capital K because it's reserved for a built-in function)

Then run

Integrate[2 Pi v[r] r, {r, 0, R}]

This may take a little longer to compute than expected because M tries to generate a result to cover all cases (it doesn't automatically know that R is a real number, for instance). You can make it run faster by including the Assumptions option, as with

Integrate[2 Pi v[r] r, {r, 0, R}, Assumptions -> R > 0]

which ensures that R is positive, and moreover a real number.

5 0
2 years ago
What is the fifth term in the sequence defined by f(n)=3(n-3)
Sholpan [36]
The answer is n= 3.

Hope this helps.
8 0
3 years ago
Read 2 more answers
The sum of the measures of the two angles of a linear pair must be
Pie

Answer:  180

Angles in a linear pair are always supplementary. This means they form a straight angle or a straight line.

6 0
2 years ago
How do i find the measure of these? i’m lost in math
Rina8888 [55]

Answer: Answers and work are all in the picture that I attached. Hope this helps

7 0
2 years ago
Other questions:
  • 87 = 9/5 c + 32<br> what does c equal??
    14·1 answer
  • Find the first five terms of the sequence. an=-n2+2n
    7·2 answers
  • 8(3x+3)+3x<br> i don't know this answer
    8·1 answer
  • What is the remainder when the polynomial f(x)=3x^3-4x^2+2x+8 is divided by (x-5)
    7·1 answer
  • Solve the equation x-5=8
    14·2 answers
  • FIRST TO ANSWER GETS BRAINLIEST
    6·2 answers
  • David wants to test a claim about a population mean. The population standard deviation is unknown, the sample is a simple random
    5·1 answer
  • I require guidance please<br> Which of these statements are correct? Select TWO that apply.
    8·2 answers
  • Please help me I've been stuck on this since the morning. I keep texting my friend to help me but she won't answer me she just l
    9·1 answer
  • Please help, much appreciated!!!! (will mark brainliest)
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!