All categories

3 years ago

Suppose that a point moves along some unknown curve y = f(x) in such a way that, at

Mathematics

1 answer:

spayn [35]3 years ago

8 0

Answer:

f(x) = x³/3 - 5/3

Step-by-step explanation:

To get the equation of the curve, integrate the slope

f(x) = integral of x²

= (x^(2+1))/3 + c

f(x) = x³/3 + c

To find c, use the given point

1 = 2³/3 + c

c = 1 - 8/3 = -5/3

f(x) = x³/3 - 5/3

You might be interested in

Determine the following angle measures.<br> mZM=<br> mXL =

fomenos

Angle measures are ∠M = 90° and ∠L = 24°

Step-by-step explanation:

Step 1: In the figure, LM is a tangent to the circle N at point M.

Tangents create right angles at the point of contact with a circle.

So ∠M = 90°

Step 2: Sum of angles in a triangle is equal to 180°

⇒ ∠L = 180° - (∠M + ∠N) = 180° - (90° + 66°)

= 180° - 156° = 24°

4 0

3 years ago

The points A(4, 0) and B(3, 7) are two vertices of right triangle ABC . The hypotenuse of the triangle is AB¯¯¯¯¯ . Point C is o

OverLord2011 [107]

What answers do you have? i got 3,0 or 2,0

6 0

3 years ago

Solve the compound inequality. Graph the solution<br> -2 ≤ 2x – 4 < 4

Ulleksa [173]

$-2 \ \textless \ = 2x - 4 \ \textless \ 4$

$-2+4\ \textless \ 2x\ \textless \ 4+4
 
$ $Add \ 4 \ to \ the \ whole \ equation$

$
2\ \textless \ 2x\ \textless \ 8
 
$ $Simplify \ inequality$

$1\ \textless \ x\ \textless \ \dfrac{8}{2}$ $Divide \ the \ whole \ equation \ by \ 2$

$
1\ \textless \ x\ \textless \ 4
 
$ $= (1,4)$

5 0

3 years ago

Please help urgent!!!

Igoryamba

Answer:

bbbbbbbbbnbbbb bbbbbbbbbb

3 0

3 years ago

Cindy owns a rectangular lot that is 18 yards long and 45 feet wide. She is going to cover the lot with square pieces of sod. If

DiKsa [7]

FIND LOT AREA:
Area = length * width
A= 18 feet * 45 feet
A= 810 feet squared

FIND # OF YARDS:
1 yard= 3 feet

Divide number of square feet by number of feet per yard.
Yards= 810 ÷ 3
Yards= 270

FIND PRICE OF SOD:
multiply number of yards by price per square yard.
Price= 270 yards * $12/yard
Price= $3,240

ANSWER: Cindy will pay $3,240 to cover the lot with sod.

Hope this helps! :)

3 0

3 years ago