Differentiate with respect to t
Assume x = x(t)
Assume y = y(t)
Assume z = z(t)

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

Answers

Answer 1

Answer:

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

Step-by-step explanation:

We want to differentiate the equation:

[tex]x^2-y^3+z^4=1[/tex]

With respect to t, where x, y, and z are functions of t.

So:

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

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

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


Related Questions

The equation p = -30q+q2-400 cuts the x-axis at A(a,b) and B(c,d). Find the sum of a,b,c and d?

Answers

So we get the solution as
(
5
,
23
)
(

2
,
2
)

M<2=x+73
Find the value of x in the diagram

Answers

Answer:

x = -8

Step-by-step explanation:

The triangle is isosceles so the two angles are equal

Equation :

65 = x + 73

Subtract 73 from both sides

-8 = x

Check:

65 = -8 + 73

65 = 65

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Need help on this question asap pleasee

Answers

Dj go jhdffgjlpjnhjcvvbvvcvc

help please I need help​

Answers

Answer:

it should be A, but it depends on how you look at it

In there Prime who was a better QB
A. Carson Palmer
B. Joe Flacco
C. Jacoby Brisset
D. Matt Ryan

try not to be biased :)

Answers

Answer:

b

Step-by-step explanation:

he won a super bowl and he was able to read the defenses better he also achieved a lot without good receivers. Ryan had julio and Carson had Fitz know about brisket

help finding the area

Answers

Answer:

The answer is 49 in^2.

Step-by-step explanation:

The area of the triangle is 1/2* perpendicular height * horizontal length.

The horizontal length is 14 in, while the perpendicular height is 7 in.

The area of the triangle is 1/2* 7 in * 14 in = 49 in^2

Anyone know the answer to this

Answers

Answer:

c

Step-by-step explanation:

The answer would be side angle side (SAS) which is number three

What is the product of 12 and 3?

Answers

The product of two numbers is the result you get when you multiply them together. Therefore,

12 × 3 = 36

Hope this helps! :D

[tex]\sqrt{x} 3^4+6^2[/tex]

Answers


= 9√x+36. I believe this is the answer !!!! :)

Name the figure. Write the area formula. Fill in the area formula.

Answers

Name: Parallelogram
Area = Base x Height
Area = 6 x 4
Area = 24 mm2

34°
Which expression is equivalent to sin (34º)?
A. cos (349)
B. tan (34°)
C. cos (569)
D. tan (569)

Answers

The answer to this question is D

What is the slope of the line through the points (-2, -1) and (4, 3)?

Answers

Answer: [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:

m=2/3

Step-by-step explanation:

Identify the coordinates (x₁,y₁) and (x₂,y₂) . ...

Input the values into the formula. (-2,-1) (4,3) the formula is (y1-y2)/(x1-x2)

Subtract the values in parentheses to get 4/6

Simplify the fraction to get the slope of  2/3

If base of parellogram is 12 cm lenght is 8cm and prependecular diatance beetween two bases is 7cm find its area and perimeter

Answers

Answer:

84 cm^2

10 cm

Step-by-step explanation:

A parallelogram is  quadrilateral that has two pairs of parallel sides. The opposite sides  equal in length

Area = base x height

12 x 7 = 84 cm^2

Perimeter = 1/2 x ( base + length)

1/2 x (12 + 8) = 10 cm

Can someone please help me solve these two problems?
I’ve been trying for so long

Answers

Answer:

y=17x -25

825 = 17x -25

850 = 17x

x = 850/17

x= 50

means 50h

and sorry second one i don't know

Question 6 of 10
What is the length of DE?
A
D
27
15
130"
10
B F 10 E
O A. 10
d
B. 22
O
C. 18
O D. 12

Answers

Answer:

c=18

Step-by-step explanation:

The measure of the sides, of the square, is  3√2 units

What is Pythagoras theorem?

The Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

Given is a square, with diagonal of 6 units we need to find the measure of the sides, of the square,

By the definition of the Pythagoras theorem,

s² + s² = 6²

2s² = 36

s² = 18

s = 3√2

Therefore, we get s = 3√2

Hence, the measure of the sides, of the square, is  3√2 units

Learn more about Pythagoras theorem, click;

https://brainly.com/question/21926466

#SPJ7

The complete question is attached

a+a=


plz I really don't know like i'm stuck how in the frick are you supposed to add to letters to get a number

Answers

Answer:

hmm not sure because you cant rlly solve for anything if there is a number but maybe try a+a=2a? because 2 a's just equal 2a but its still not rlly solving anything but it could work

Step-by-step explanation:

Answer:

it's unsolvable(unless a has a variable)

Step-by-step explanation:

unless you know the value of a already then you cant solve it

Hộp đựng 3 bi đỏ, 5 bi trắng và 7 bi xanh lấy ngẫu nhiên 2 bi. Tính xác suất? a, Có 1 bi đỏ trong 2 bi lấy ra b, Có ít nhất 1 bi đỏ trong 2 bi lấy ra

Answers

Answer:

a) 3C1 * 12 C1 / 15 C2

b)  1 - 12C2 / 15C2

Step-by-step explanation:

Được

Viên bi đỏ = 3

Viên bi trắng = 5

Viên bi xanh = 7

Hai quả bóng được rút ra một cách ngẫu nhiên

a) Có 1 bi đỏ

3C1 * 12 C1 / 15 C2

b) Có ít nhất 1 viên bi đỏ trong số 2 viên lấy ra.

Số kết quả của việc chọn hai quả bóng trong số 15 quả bóng = 15 C2

Số kết quả của việc chọn 0 quả bóng đỏ = 15C12

Xác suất chọn được ít nhất 1 viên bi đỏ = 1 - 12C2 / 15C2

someone pls help I don't undertand

Determine whether the following sequence is arithmetic or geometric and then
calculate the 8

th and 10th terms

-25, -15, -5, 5, 10, ...

The sequence is arithmetic / geometric. (Circle one)

8
th term: 10th term:

2-4) Removed

Answers

The jump from -25 to -15 is +10

The jump from -15 to -5 is also +10

The jump from -5 to 5 is also +10

Unfortunately, this pattern doesn't hold up. The jump from 5 to 10 is +5

Because the gap isn't the same each time, this tells us the sequence is not arithmetic.

----------------

We can show the sequence isn't geometric either. Pick any term to divide it over its previous term

-15/(-25) = 0.6

-5/(-15) = 0.333 approximate

The result isn't the same, so we don't have a common ratio and that's why this sequence isn't geometric.

----------------

It seems like your teacher made a typo. Please double check with them to make sure that they typed the correct sequence. I have a feeling that 10 should be 15, but I'm not entirely sure.

Video streaming company A charges a one-time $40 membership fee and $2 per video stream. Video streaming company B charges a one-time $20 membership fee and $4 per video stream.

Let the variable s represent the amount of videos streamed and let the variable c represent the cost.

For how many video streams will the cost be the same for both companies?

Which system of equations can be used to solve this problem?

{c=42sc=24s

{c=40s+2c=20s+4

{c=40−2sc=20−4s

{c=40+2sc=20+4s

Answers

Answer:

d.

Step-by-step explanation:

C=40+2s, c=20+4s

Find the area of the circle with a circumference of 30(pie). Write your solution in terms of (pie)

Area in terms of(pie):_______



Answers

Answer:

option 3

Step-by-step explanation:

[tex]circumference = 2 \pi r\\30 \pi = 2 \pi r\\\\r = \frac{30 \pi }{2 \pi} =15mm\\\\Area = \pi r^2 = \pi 15^2 = 225 \pi \ mm^2[/tex]

What is the determinant of k=[6 8]
[0 3]
-18
-8
10
18

Answers

It’s 18 for sure it’s pretty simple

Could Someone Please help me with this? Im really struggling

Answers

Answer:

C

Step-by-step explanation:

she is asking what subject do the 9th grades prefer, so asking the 9th graders in her school sound like the best answer


A circular plate has a diameter of 18 inches. What is the area of the plate? *

A) 81 square inches
B) 81 square inches
C) 18 square inches
D) 9 square inches

Answers

Answer:

254 inches squared

Step-by-step explanation:

Hi there!

[tex]A=\pi r^2[/tex] where r is the radius of the circle

The radius is equal to half the diameter. Given that the diameter is 18 inches, we know that the radius of the circular plate is 9 inches. Plug this into the equation:

[tex]A=\pi (9)^2\\A=81\pi \\A=254[/tex]

Therefore, the area of the plate is approximately 254 inches squared.

If this is not an answer choice, the question may have been asking for the radius of the circle rather than the area.

I hope this helps!

What is the slope intercept form here!!!

Answers

Answer:

y=x

Step-by-step explanation:

Find the radius of a circle with a diameter of 10 inches?

Answers

Step-by-step explanation:

Diameter = 2 times the radius or

D = 2r

Solve for r and substitute 10 for D

Answer:

5 inches.

Step-by-step explanation:

Divide the diameter by two to get the radius.

Help please...no links...

Answers

Answer:

Using Pythagoras theorem we can find the missing length.

5^2 + 13^2

25 + 169 = 194

√194 = 13.9283882772 = around 13

Answer:

A

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 5² = 13²

x² + 25 = 169 ( subtract 25 from both sides )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12 → A

Matthew changes $770 into rupees. He receives 40 000 rupees.
How many rupees did he receive for each dollar?

Answers

Answer:

About 51.94 rupees (rounded).

Step-by-step explanation:

40000 / 770

can someone help me?


(2x+8)-(2x+16)

Answers

Answer:

-8

Step-by-step explanation:

(2x+8)-(2x+16)

Distribute the minus sign

(2x+8)-2x-16

Combine like terms

2x-2x  +8-16

0x -8

-8

Answer:

-8

Step-by-step explanation:

1+ 4(2x — 3) – x
Simplify the expressuon

Answers

7x- 11 is the correct answer
1+8x-12-x
1-12+8x-x (collecting like terms)
-11+7x
7x-11

the amount of rupees 1008 enumal rate 10% is rupees 1200 find the instrest

Answers

Answer:

Step-by-step explanation:

Amount=Principal + Interest

1200=1008 + interest

1200-1008=interest

rupees 192 = Interest

the answer to your question is 192 rupees
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