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
inn [45]
3 years ago
13

Consider the curve y = x − x^3, find the slope of the tangent line to the curve at the point (1, 0).

Mathematics
1 answer:
lbvjy [14]3 years ago
7 0

The derivative of a function, such as the one given above, represents the slope of the tangent line to the curve at the given point.

In this case, y = x − x^3, and dy/dx = 1 - 3x^2.  Letting x = 1, we get the slope of the tangent line at the point (1,0):  1 - 3(1^2) = -2 (answer)

You might be interested in
Emmanuel sections off a part of the backyard of his house to build the rectangular stone patio for his grill. The length of the
liq [111]

Answer: x + 3feet

Step-by-step explanation:

From the question, Emmanuel sections a part of his house backyard in order to build the rectangular stone patio for his grill. We are told that the length of the base is going to be 3 feet more than the width and the width has been defined as x.

Since the length of the base will be 3 feet more than the width and the width is x. Therefore, the length will be:

Length = x + 3feet

5 0
3 years ago
What is the factored form of the polynomial?
Ilya [14]
(x-9)(x-3), because -9 and -3 make a sum of -12 and a product of +27
4 0
3 years ago
Read 2 more answers
WILL MARK BRAINLIEST
dsp73
<h3>Refer to the diagram below</h3>
  1. Draw one smaller circle inside another larger circle. Make sure the circle's edges do not touch in any way. Based on this diagram, you can see that any tangent of the smaller circle cannot possibly intersect the larger circle at exactly one location (hence that inner circle tangent cannot be a tangent to the larger circle). So that's why there are no common tangents in this situation.
  2. Start with the drawing made in problem 1. Move the smaller circle so that it's now touching the larger circle at exactly one point. Make sure the smaller circle is completely inside the larger one. They both share a common point of tangency and therefore share a common single tangent line.
  3. Start with the drawing made for problem 2. Move the smaller circle so that it's partially outside the larger circle. This will allow for two different common tangents to form.
  4. Start with the drawing made for problem 3. Move the smaller circle so that it's completely outside the larger circle, but have the circles touch at exactly one point. This will allow for an internal common tangent plus two extra external common tangents.
  5. Pull the two circles completely apart. Make sure they don't touch at all. This will allow us to have four different common tangents. Two of those tangents are internal, while the others are external. An internal tangent cuts through the line that directly connects the centers of the circles.

Refer to the diagram below for examples of what I mean.

5 0
3 years ago
All 6 members of the Valastro family have decided to
atroni [7]

Answer:

5

Step-by-step explanation:

7 0
2 years ago
2√72÷√8±√2<br><br> I Need help with this question fast
Oxana [17]

2√72 / √8 ± √2

If the denominator is √8 + √2,

2√72 / √8 + √2

= 2√(2*2*2*3*3) / √(2*2*2) + √2

= 2*2*3√2 / 2√2 + √2

= 12√2 / 3√2

= 4

4 0
3 years ago
Other questions:
  • 4x^2+4y^2+20x-16y+37=0 standard form
    12·1 answer
  • The size of a television is given by the length ofthe diagonal of the screen. the ratio of the height to the width of wide flat-
    15·1 answer
  • Solve x+(30/x)-11=0​
    8·1 answer
  • Please please answer this correctly
    7·1 answer
  • What is the area of this triangle in coordinate plane
    13·2 answers
  • A bacteria sample can be modeled by the function f(x) - 350(1.20) which gives the number of bacteria in the sample at the end of
    10·1 answer
  • Please help me I need help
    15·1 answer
  • Consider the graph of the quadratic function. Which
    10·1 answer
  • A drugstore sells vitamins in bottles with different pill counts. The price of each bottle is shown in the table below.
    5·1 answer
  • Solve. 3 Inx= - 12 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. (Type
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!