All categories

3 years ago

Consider the function, f(x) = 3x - 3. Determine the asymptote for the function f(x).

Mathematics

1 answer:

Natali [406]3 years ago

5 0

Answer:

Y= 1

Step-by-step explanation:

Given the expression f(x) = 3x - 3.

To solve for the asymptote y

Firstly we need to solve for x

3x-3=0

3x=3

x= 3/3

x=1

Hence the asymptote of the function y=1

You might be interested in

Find the curl of ~V<br> ~V<br> = sin(x) cos(y) tan(z) i + x^2y^2z^2 j + x^4y^4z^4 k

ch4aika [34]

Given

$\vec v = f(x,y,z)\,\vec\imath+g(x,y,z)\,\vec\jmath+h(x,y,z)\,\vec k \\\\ \vec v = \sin(x)\cos(y)\tan(z)\,\vec\imath + x^2y^2z^2\,\vec\jmath+x^4y^4z^4\,\vec k$

the curl of $\vec v$ is

$\displaystyle \nabla\times\vec v = \left(\frac{\partial h}{\partial y}-\frac{\partial g}{\partial z}\right)\,\vec\imath - \left(\frac{\partial h}{\partial x}-\frac{\partial f}{\partial z}\right)\,\vec\jmath + \left(\frac{\partial g}{\partial x}-\frac{\partial f}{\partial y}\right)\,\vec k$

$\nabla\times\vec v = \left(4x^4y^3z^4-2x^2y^2z\right)\,\vec\imath \\\\ - \left(4x^3y^4z^4-\sin(x)\cos(y)\sec^2(z)\right)\,\vec\jmath \\\\ + \left(2xy^2z^2+\sin(x)\sin(y)\tan(z)\right)\,\vec k$

$\nabla\times\vec v = \left(4x^4y^3z^4-2x^2y^2z\right)\,\vec\imath \\\\ + \left(\sin(x)\cos(y)\sec^2(z)-4x^3y^4z^4\right)\,\vec\jmath \\\\ + \left(2xy^2z^2+\sin(x)\sin(y)\tan(z)\right)\,\vec k$

7 0

3 years ago

Round to the nearest tenth 4.1553

Len [333]

Answer:

4.2

Step-by-step explanation:

4.1553

15 -> 2

4.2

7 0

3 years ago

Read 2 more answers

Lee is thinking of two Numbers,the product is 18. the quotient is 2

defon

X, y - the numbers

The product is 18.
$xy=18$

The quotient is 2.
$\frac{x}{y}=2 \ \ \ |\times y \\
x=2y$

Substitute 2y for x in the 1st equation:
$2y \times y=18 \\
2y^2=18 \ \ \ |\div 2 \\
y^2=9 \\
y=\pm \sqrt{9} \\
y=3 \ \lor \ y=-3 \\ \\
x=2y \\
x=2 \times 3 \ \lor \ x=2 \times (-3) \\
x=6 \ \lor \ x=-6 \\ \\
(x,y)=(6,3) \hbox{ or } (x,y)=(-6,-3)$

The numbers are 6 and 3 or -6 and -3.

6 0

3 years ago

Read 2 more answers

In Chad's reading class, all the students are reading the same book. The school bought each student a book at $7 per book. If th

Allushta [10]

The last one 7(30)-7(7) because if you do it then it is 7(23) which doesn’t make sense because it is 27 we need to find

6 0

3 years ago

Simplify: 21j-26+4j=21+6-2j

Molodets [167]

1. 21j-26+4j=21+6-2j
2. 25j-26=27-2j
3. 27j=53
4. j=53/27
hope this helps!!

3 0

3 years ago