All categories

3 years ago

Describe different ways in which a plane might the cylinder,and the cross section the results.

1 answer:

5 0

The plane could be:
-perpendicular to the axis --> gives a circle
-parallel to the axis and tangent to the cylinder --> gives a line
-parallel to the axis and not tangent to the cylinder --> gives a pair of parallel lines
-neither perpendicular nor parallel to the axis --> gives an ellipse

You might be interested in

state domain and range, intercepts, relative max and relative mins points and values, intervals of increase and decrease, interv

Aloiza [94]

The domain of the graph is -∝ < x < ∝ and the range of the graph is y > -2. Also, the symmetry is x = -3

<h3>The domain and range of the graph</h3>

From the graph, we can see that the x values extend indefinitely

So, the domain of the graph is -∝ < x < ∝

However, the minimum y value is -2 and it increases from there

So, the range of the graph is y > -2

<h3>The intercepts</h3>

This is where the graph crosses the axes

So, we have the intercepts to be

x-intercept = -1 and -5
y-intercept = 1

<h3>Relative max and relative mins points and values, </h3>

The graph has no relative maximum and the relative minimum is (-3, 2)

<h3>Intervals of increase and decrease</h3>

There are the intervals where the function increases and decreases

So, we have the intervals to be

Increasing interval: (-3, ∝)
Decreasing interval: (-∝, -3)

<h3>Intervals of positive and negative</h3>

There are the intervals where the function is positive and negative

So, we have the intervals to be

Positive interval: (-∝, -5) and (1, ∝)
Negative interval: (-5, -1)

<h3>The symmetry</h3>

This is the line that divides the graph equal part

In this case, the symmetry is x = -3

<h3>The end behavior</h3>

Using the intervals where the function is positive and negative, the end behavior is

As x ⇒ ∝, f(x) ⇒ +∝
As x ⇒ -∝, f(x) ⇒ -∝

Read more about functions at:

brainly.com/question/3951754

#SPJ1

8 0

1 year ago

According to the rational root theorem what are all the potential rational roots of f(x)=9x^4-2x^2-3x+4

8_murik_8 [283]

Answer:

+/- 1, $\frac{+-1}{+-3},\frac{+-1}{+-9},+-2,\frac{+-2}{+-3},\frac{+-2}{+-9},+-4,\frac{+-4}{+-3}, \frac{+-4}{+-9}$ ....

Step-by-step explanation:

The Rational root theorem states that If f(x) is a Polynomial with integer coefficients and if there exist a rational root of the form p/q then p is the factor of the constant term of the function and q is the factor of the leading coefficient of the function

Given: f(x)= 9x^4-2x^2-3x+4

Factors of q (leading coefficient) are: +/-9, +/-3, +/-1

Factors of p (constant term) are: +/-4 , +/-2, +/- 1

According to the theorem we write the roots in p/q form:

Therefore,

p/q =+/- 1, $\frac{+-1}{+-3},\frac{+-1}{+-9},+-2,\frac{+-2}{+-3},\frac{+-2}{+-9},+-4,\frac{+-4}{+-3}, \frac{+-4}{+-9}$ ....

7 0

3 years ago

" Jack is selling tickets to an event. Attendees can either buy a general admission ticket or a VIP ticket. The general admissio

barxatty [35]

60x+90y=2100

29t=2100

3 0

3 years ago

WILL MARK BRAINLIEST AND GIVE 100 POINTS! WILL REPORT IF INCORRECT

grigory [225]

please refer to this image

please don't report this answer if it is wrong

but if its correct so please mark me as brainlist

5 0

2 years ago

Kim is creating a mosaic in her garden. She finds the tile below and wants to know the missing side length ‘x’. Calculate the mi

GrogVix [38]

Answer:

x = 7.99 cm

Step-by-step explanation:

By applying cosine rule in the given triangle,

AC² = AB² + BC² - 2(AB)(AC)cosC

Substitute the measures of the sides and the angle in this formula,

x² = 6² + 10² - 2(6)(10)cos(53°)

x² = 36 + 100 - 72.217

x² = 63.782

x = √(63.782)

x = 7.99 cm

8 0

3 years ago