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
baherus [9]
3 years ago
12

Suppose xy=−4 and dy/dt=−3. Find dx/dt when x=−1.

Mathematics
1 answer:
user100 [1]3 years ago
4 0
When x=-1: \quad (-1)y=-4\qquad\to\qquad y=4\)

Ok that gives us a little more information.
If we implicitly differentiate with respect to t, from the very start, then we can apply our product rule, ya?

x'y+xy'=0

The right side is zero, derivative of a constant is zero.
Where x' is dx/dt and y' is dy/dt.

From here, plug in all the stuff you know:
y' = -3
x = -1
y = 4

and solve for x'.

Hope that helps!
You might be interested in
a submarine descends 480 ft and 24 seconds the submarines elevation changes at a constant rate what is the elevation change of t
Vlad1618 [11]

Answer:

The submarine would be 900 below the ocean surface after 12 minutes assuming it started its descent at the surface of the ocean.

Step-by-step explanation:

The formula for distance traveled (in this case the distance a submarine descends) over a period of time is:

d

=

r

⋅

t

where

d

is the distance traveled (or descended),

r

is the rate of travel and

t

is the time.

In this problem we are told the rate,

r

is 75 feet per minute. And, we are told the time,

t

, to calculate for which is 12 minutes.

7 0
2 years ago
Express 0.000000298 in scientific notation
Olenka [21]
The expression would be 2.98 * 10 to the -7 power? Please tell me if I'm wrong.
5 0
3 years ago
4 a3b(-3a5b3+6a4b)+(3a4b2+6ab)2
Irina18 [472]

Answer:

− 12 a 8 b4+ 24 a7 b 2+ 6a 4b 2 + 12 a b

Step-by-step explanation:

Simplify each term

4 0
3 years ago
What is the equivalent exponential expression for the radical expression below?<br>√6​
Aleks [24]
I think the answer would be 6
8 0
3 years ago
Read 2 more answers
If gasoline costs $47.86 for 12.5 gallons of gasoline, how much does it cost for 8 gallons?
g100num [7]

Answer:

8 gallons of gasoline costs $30.63.

Step-by-step explanation:

Set up a proportion to solve for x, or the cost of 8 gallons of gasoline. The $47.86 goes on top of the first ratio, and 12.5 goes on top of the second. This is because the $47.86 is the cost of the 12.5 gallons of gasoline. Next, put x on the bottom of the first ratio and 8 on the bottom of the second ratio. This is because the amount of money you are trying to find, x, is the cost of the 8 gallons of gasoline. The proportion should look like this: \frac{47.86}{x} = \frac{12.5}{8}

To solve the proportion, use cross multiplication. To do that, multiply 8 by 47.86 to get 382.88. Then, divide 382.88 by 12.5. The answer is 30.6304‬, so round to the nearest cent to get a total of $30.63.

I hope this helps! ☺

6 0
2 years ago
Other questions:
  • The area of a rectangle is length × width. What is the length of a rectangular pool table that has a width of 5and 1 third feet
    7·1 answer
  • Story problems don't know when to add subtract multiply or divide
    14·1 answer
  • Pls help i’ll give u a brainlest
    11·2 answers
  • Find the midpoint of the line segment with endpoints ( -1, 1 ) and ( 5, -5 )
    7·1 answer
  • 6. The population of a town is 66,666 people and decreases by 160 people each year.
    7·1 answer
  • Which value for x makes the sentence true?<br><br> 2.45 + x = 3.64
    5·2 answers
  • Cassie received a 20%-off coupon and a $10-off coupon from a department store. She visits the department store during a tax-free
    11·1 answer
  • II: Now let's try graphing on some number lines on own.
    14·1 answer
  • 19<br> 219<br> 5/183/6<br> 0 =&gt;<br> Skip<br> 18/43 complete
    12·1 answer
  • Use the given graph to determine the limit, if it exists.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!