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
Drupady [299]
3 years ago
10

Write a function with the following characteristics: 1.A vertical asymptote at x = 3 A horizontal asymptote at y = 2 An x-interc

ept at x=-5 2.A vertical asymptote at x=-1 An oblique asymptote at y = x + 2

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
7 0

1. The vertical asymptote requires the denominator have a zero at that location. The x-intercept requires the numerator have a zero at that location. The horizontal asymptote amounts to a multiplier of the function:

... y = 2(x +5)/(x -3)

2. The vertical asymptote requires the denominator have a zero at that location. The oblique asymptote is an add-on

... y = 1/(x +1) +(x +2)

... y = (x² +3x +3)/(x +1)

You might be interested in
The area of a rectangle is 490490 in squaredin2. the ratio of the length to the width is 5 : 25:2. find the length and the width
Arlecino [84]
Let the width be 2w. Then the lenght is 5w. So:
(2w)(5w)=490
10w²=490
w²=49
w=±7
So, 2w=width=14 in; and 5w=length=35 in
☺☺☺☺
6 0
3 years ago
HELPPPPPPPPPPP , witch should I pick .
lara31 [8.8K]
Answer:
A

Explanation: horizontal line is 180 degrees, and the square means 90 degrees. So adding up the angles z + 90 + z =180
4 0
3 years ago
The curves y = √x and y=(2-x) and the Cartesian axes form two distinct regions in the first quadrant. Find the volumes of rotati
makkiz [27]

Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

y = \sqrt{x} \,\,\,\,, 0\leq x \leq 1 \\

And the second one would be

y = 2-x \,\,\,\,\,,  1 \leq x \leq 2.

If you rotate the first region around the "y" axis you get that

{\displaystyle A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51 }

And if you rotate the second region around the "y" axis you get that

{\displaystyle A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188 }

And the sum would be  2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first  region around the x axis you get that

{\displaystyle A_1 =\pi \int\limits_{0}^{1} ( \sqrt{x})^2 dx = \frac{\pi}{2} = 1.5708 }

And if you rotate the second region around the x axis you get that

{\displaystyle A_2 = \pi \int\limits_{1}^{2} (2-x)^2 dx = \frac{\pi}{3} = 1.0472 }

And the sum would be 1.5708+1.0472 = 2.618

7 0
3 years ago
I need help with a MathsWatch question!
KIM [24]
To find the area of a circle, you do π × diameter (in this case 10). They have told you to use 3.142 as π, so you do 3.142 × 10 = 31.42. Because it's a semi-circle, you need to halve 31.42 to get 16.21, which is the answer
6 0
3 years ago
Read 2 more answers
How many solutions are there to the equation below 14x+2=12x
Veronika [31]
The answer is x-1 hope that helps not sure if it does
8 0
3 years ago
Other questions:
  • Simplify. Write the expression using only positive exponents.<br> 7g⁻²/g⁴
    9·1 answer
  • Question 1) When multiplying powers with the same base, keep the base and _______________ the exponents.
    12·1 answer
  • What is in extraneous solution to the equation b/b-7 - 2/b = 7/ b-7 ?
    14·1 answer
  • Can someone please help me with this problem I'm so stuck ​
    8·2 answers
  • A bookstore contains 75972 books,divided in to three sections. The science represents 1/3 of the total books. The remaining book
    14·1 answer
  • List the first 5 multiples of 13
    7·2 answers
  • A scientist conducting an experiment creates a table to record the growth of two plants. The scientist uses the equations below
    6·2 answers
  • Mr. custom is correcting the class's math homework on customary units. which of the following measurements is reasonable
    12·1 answer
  • Work out the size of an angle ​A
    13·2 answers
  • Lee is creating a garden with the dimensions shown.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!