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
Katarina [22]
2 years ago
9

Differentiate with respect to t

Mathematics
1 answer:
True [87]2 years ago
8 0

Answer:

\displaystyle 2x\frac{dx}{dt}-3y^2\frac{dy}{dt}+4z^3\frac{dz}{dt}=0

Step-by-step explanation:

We want to differentiate the equation:

x^2-y^3+z^4=1

With respect to <em>t</em>, where <em>x, y, </em>and <em>z</em> are functions of <em>t. </em>

<em />

So:

\displaystyle \frac{d}{dt}\left[x^2-y^3+z^4\right]=\frac{d}{dt}\left[1\right]

Implicitly differentiate on the left. On the right, the derivative of a constant is simply zero. Hence:

\displaystyle 2x\frac{dx}{dt}-3y^2\frac{dy}{dt}+4z^3\frac{dz}{dt}=0

You might be interested in
(a) An angle measures 25°. What is the measure of its complement?
Setler79 [48]

Answer:

A) 65 degrees

B) 89 degrees

Step-by-step explanation:

Complementary angles always add up to 90 degrees whereas supplementary angles always add up to 180 degrees

Hope it helps :)

5 0
2 years ago
Tim says that every time you mutiply two
Sunny_sXe [5.5K]

Answer:

I disagree

Step-by-step explanation:

This is not true because when you multiply a number by one. It will give you its number. It may be a larger number than 1 but it is not bigger than both numbers. Also if you multiply 0 by a number. It will eventually give you the answer 0 .It will be smaller than the number you started with. eg   100x0 = 0

4 0
2 years ago
How do you answer number 5
riadik2000 [5.3K]

x² - x - 6  = (x +3)(x - 2)

x² - 5x + 6 = (x - 2)(x - 3)

What is their common factor?

Answer: B. x - 2

5 0
3 years ago
Can someone help me solve this equation
IceJOKER [234]
Yes I can what is it
8 0
3 years ago
A dog runs 100 yards from one corner of a rectangular park to the opposite corner. If the length of the park is 28 yards, what i
kap26 [50]

9514 1404 393

Answer:

  96 yards

Step-by-step explanation:

The diagonal through the park cuts the rectangle into two right triangles. The Pythagorean theorem tells you the relationship between the sides of a right triangle and its hypotenuse: the sum of the squares of the sides is equal to the square of the hypotenuse.

The diagonal is the hypotenuse, so we have ...

  100² = 28² + w²

  w = √(10000 -784) = 96

The width of the park is 96 yards.

_____

<em>Additional comment</em>

The integer side lengths of a right triangle form what is called a "Pythagorean triple." One of the most often seen of these is (3, 4, 5). Other commonly seen Pythagorean triples are (5, 12, 13), (7, 24, 25), (8, 15, 17).

You may notice that the numbers here are those of the (7, 24, 25) Pythagorean triple, multiplied by 4. If you recognize the given lengths as having the ratio 28:100 = 7:25, you have the clue you need to determine the answer simply from your knowledge of Pythagorean triples.

8 0
3 years ago
Other questions:
  • Lori purchases a new set of watercolor paints and some canvases to create art for her next exhibit. The watercolor paint set cos
    13·2 answers
  • How can you tell that a fraction corresponds to a repating decimal and not a terminating decimal
    15·1 answer
  • 8.0 × 105 + 6.0 × 107 = A. 14,000,000,000,000 B. 140,000,000 C. 60,800,000 D. 68,000,000
    10·1 answer
  • Use the following problem to answer the question below:
    8·1 answer
  • State whether every point on the graph is a solution of the equation. Explain why or why not.
    5·1 answer
  • (3x2 + 7x + 10) - (3x2 - 12x - 10)
    14·1 answer
  • What is the slope of this line
    11·1 answer
  • Anyone know the answers ​
    8·1 answer
  • 2/3 + -4/5. Show your work!
    9·1 answer
  • Ms. Fitzgerald had 2 1 /4 gallons of fruit punch. She served 3 /8 gallon of the fruit punch
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!