All categories

3 years ago

If x^2+y^2 =25 and dy/dt =6, find dx/dt when y=4

1 answer:

4 0

2x dx/dt +2y dy/dt =0
x dx/dt +y (6)=0
dx/dt= -6y/x
dx/dt= -6*4 /x
dx/dt=-24/x
also from the given equation x^2= 25-16=9 or x=3
using this we get
dx/dt=-24/3 =-8

You might be interested in

What is the quotient if 2305÷294

stiks02 [169]

Answer:

7.840136054421769

Step-by-step explanation:

8 0

2 years ago

What is the product? (-2a^2+a)(5a^2-6s)

ANEK [815]

The answer would be A

6 0

3 years ago

A woman is paid a commission of 6% on her weekly sales. If her total commission for the week was $449:

Lelu [443]

Answer:

$4.49

Step-by-step explanation:

Simply multiply $449 by the 1% in decimal form. (0.01)

You will find your answer to be 4.49!

6 0

2 years ago

The length and breadth of a rectangular field are 312m and 186m respectively; correct to the nearest metres. Between what limits

lisabon 2012 [21]

Answer:

$P \geq 1000 \; meters$

Step-by-step explanation:

Given the following data;

Length = 312 meters

Breadth = 186 meters

To find the perimeter of the rectangle;

Mathematically, the perimeter of a rectangle is given by the formula;

Perimeter = 2(L + W)

Perimeter = 2(312 + 186)

Perimeter = 2(498)

Perimeter = 996 meters

To the nearest meters, we have;

Perimeter = 996 ≈ 1000 meters

Let P represent the perimeter of a rectangular field.

900 1000

Therefore, $P \geq 1000 \; meters$

8 0

2 years ago

24 is 4/5% of what number

docker41 [41]

Answer:

The number is 3000

Step-by-step explanation:

Is means equals

24 = 4/5 % *n

Lets change the percent to a decimal. To change percent, we move the decimal to places to the left.

4/5= .8

4/5 % = .8% = .008

24 = .008 *n

Divide each side by .008

24/.008 = .008n/.008

3000 = n

7 0

3 years ago