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3 years ago

A mass attached to a spring is pulled towards the floor then let go. Its height is recorded and

Mathematics

1 answer:

andreev551 [17]3 years ago

3 0

First find the derivative,

$\dfrac{d}{dt}\Big(-10\cos(4t)\Big)=40\sin(4t)$ .

Then find the critical point,

$40\sin(4t)=0\implies t=40\mathrm{s}$ .

Hope this helps.

I am a little rusty here :(.

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The height, h, of a falling object t seconds after it is dropped from a platform 300 feet above the ground is modeled by the fun

Svetllana [295]

H(x)=-16t^2+300

The average rate is the change in h divided by the change in t, mathematically:

r=(h(3)-h(0))/(t2-t1), in this case:

r=(-16*9+300-0-300)/(3-0)

r=-144/3

r= -48 ft/s

5 0

3 years ago

Read 2 more answers

Solve the following equation simultaneously 1/x-5/y=7, 2/x+1/y=3

maria [59]

Answer:

(x, y) = (1/2, -1)

Step-by-step explanation:

Subtracting twice the first equation from the second gives ...

(2/x +1/y) -2(1/x -5/y) = (3) -2(7)

11/y = -11 . . . . simplify

y = -1 . . . . . . . multiply by y/-11

Using the second equation, we can find x:

2/x +1/-1 = 3

2/x = 4 . . . . . . . add 1

x = 1/2 . . . . . . . multiply by x/4

The solution is (x, y) = (1/2, -1).

_____

<em>Additional comment</em>

If you clear fractions by multiplying each equation by xy, the problem becomes one of solving simultaneous 2nd-degree equations. It is much easier to consider this a system of linear equations, where the variable is 1/x or 1/y. Solving for the values of those gives you the values of x and y.

A graph of the original equations gives you an extraneous solution of (x, y) = (0, 0) along with the real solution (x, y) = (0.5, -1).

6 0

2 years ago

Val has 3/4 gallon of milk. He gives 1/2 of it to a friend. How many gallons of milk does Val have left

Murljashka [212]

Step-by-step explanation:

given, ¾-½= ¼gallon milk.

hope this helps you.

8 0

2 years ago

The area of a rectangle is 1176 square meters. The width of the rectangle is 21 meters. What i the length of the rectangle?

stepan [7]

Answer:

Step-by-step explanation:

1176 divided by 21 = 56

3 0

3 years ago

Maths<br><br> Pls help me!!!!

Leokris [45]

9514 1404 393

Answer:

P(0, 4), Q(-3, 0)

Step-by-step explanation:

To find the y-coordinate of P, replace x with 0 and solve for y:

3y = 12

y = 4 . . . . . divide by 3

To find the x-coordinate of Q, replace y with 0 and solve for x:

-4x = 12

x = -3 . . . . . divide by -4

Then the intercepts are P(0, 4) and Q(-3, 0). The line is drawn through those points for the indicated values of x.

8 0

3 years ago