Mathematics High School

Assume that x = x(t) and y = y(t). Let y = x^2 + 6 and
dx/dt=4 when x=1
Find dy/dt when x = 1​

Assume That X = X(t) And Y = Y(t). Let Y = X^2 + 6 Anddx/dt=4 When X=1Find Dy/dt When X = 1

Answers

Answer 1

Answer:

[tex]\frac{dy}{dt}[/tex] = 8

Step-by-step explanation:

Given:

x = x(t) and y = y(t)

Let y = x² + 6

By differentiating the given equation with respect to t,

[tex]\frac{dy}{dt}=\frac{d}{dt}(x^{2}+6)[/tex]

[tex]\frac{dy}{dt}=\frac{d}{dt}(x^{2})+\frac{d}{dt}(6)[/tex]

Since, [tex]\frac{dx}{dt}=4[/tex] when x = 1

[tex]\frac{dy}{dt}=2x\frac{dx}{dt}+\frac{d}{dt}(6)[/tex]

[tex]\frac{dy}{dt}=2(1)(4)+0[/tex] [By substituting the values of [tex]\frac{dx}{dt}[/tex] and x = 1]

[tex]\frac{dy}{dt}[/tex] = 8

Related Questions

Order the number from least to greatest -12, 3/25, -0.41

Answers

Answer:

-12, -0.41, 3/25

Step-by-step explanation:

Answer:

the answer is -12, -0.41, 3/25.

A vendor bought 80 pineapples ₱18.50 each. Three pineapples got rotten, but then he sold the rest at ₱25.00 each. how much did he gain?​

Answers

Answer:

₱445

Step-by-step explanation:

₱18.50(x)

x = number of pineapples purchased

₱18.50(80) = ₱1480

80 - 3 = 77

₱25.00(z)

z = number of pineapples resold.

25.00(77) = ₱1925

₱1925 = ₱1480 = ₱445


Which equation represents a line that is perpendicular to the y-axis?
A.y= 9x
B.x= 15y
C.y = -8
D.x= -17

Answers

Answer:

C, [tex]y=-8[/tex]

Step-by-step explanation:

[tex]y=-8[/tex], is a horizontal line, which makes it vertical to the y-axis

y is an irrational number between 3 and 4 . what is the value of y

Answers

Answer:

If a and b are two positive rational numbers such that ab is not a perfect square of a rational number, then ab is an irrational number lying between a and b.

So  an irrational number between 3 and 4 is=3×4=3×4=3×2=23

the perimeter of a square is 7.2 meters how long is each side ?

Answers

Answer:

1.8 meters

Step-by-step explanation:

7.2÷4= 1.8

Answer:

1.8 m

Step-by-step explanation:

let side be 'a'.

perimiter of a square = 4(a)

7.2 = 4(a)

7.2/4 = a

therefore, a = 1.8 m.

Which of the following word problems can be solved using the equation 10 x - 15=60

Answers

Answer:

Kit buys

Step-by-step explanation:

im right

-g + 2(3 + g) = -4(g + 1)

Please answer with the steps/distributive property. Thnx a lot guys!

Answers

1. distribute
2(3+g) —> 6+2g

-4(g+1)—> -4g-4

2. combine like terms on left side
-g+6+2g —> g+6

3. g+6=-4g-4
5g=-10
g=-2

Hope this helps!
Iridjdjdjjdjdjdjdjdjd

solve the equation log2 x - 1/2 * log2 (x + 1) = 1

Answers

Answer:

0

Step-by-step explanation:

Tell whether the ordered pair is a solution of 4y + y >-1,

Answers

Answer:

try y>-1/5

Step-by-step explanation:


What are the values of a and b, and what is an equation for the line?

Answers

Answer:

a = 1,  b = 6

Step-by-step explanation:

slope of line = (5-2) / (12-3) = 3/9 = 1/3

(3-2) / (b-3) = 1/3

b-3 = 3        b = 6

(2-a) / (3-0) = 1/3

2-a = 1          a = 1

pls help me out i’ll give brainliest

Answers

Answer:

I believe it is 51.2 I think but yeah

Answer:

-4.75

Step-by-step explanation:

We're trying to find the number that's between -4 and -5. B is on -4.5, so we need to find a number between -4.5 and -5. This would be -4.75. Think of it like quarters, 4 quarters equal a dollar, and B would be the 2nd quarter (which is 50 cents). D would be the 3rd quarter (which is 75 cents). That's where the ".75" comes into the answer "-4.75". Just remember to put NEGATIVE 4.75 and NOT positive 4.75 since this is a negative number.

Hope this helped you!

Solve for b
-11b+7=40
B=

Answers


Subtract 7 from both sides. Then divide by -11 on both sides. Remember: a positive mult./divide by positive equals a positive answer. Same works for negatives. If a positive and negative are used, then the answer is negative. I’ve attached the work.

com/forms/d/e/1FAIpQLSeaV3E4GEivw--oxpi043rlf3g1huKMHD79-ccdtkntgEc32g/viewform?hr_submission=Cho
Question 2: Using the following data [2.5 kg, 3.1 kg, 3.4 kg, 3.5 kg, 3.5 kg, 4 kg,
4.1 kg] calculate the interquartile range
I need the lower quartile upper quartile and the interquartile range

Answers

Answer:

interquartile should be 3.45kg

lower quartile is 2.8kg

upper quartile is 3.75kg

help will give brainliest!!! the triangles shown below are similar. which line segment correponds to ac? refer to picture

Answers

DE is your answer I hope I helped

Help me please I’m struggling

Answers

Answer:

305

Step-by-step explanation:

sorry if im not right

What is the y-intercept in this equation: y=5x + 21

Answers

Answer:

21

Step-by-step explanation:

y=mx+b

b is your y-intercept

Answer:

y = 21

Step-by-step explanation:

The y-intercept when in slope intercept form is the constant (the term with no x).

POSSIBLE POINTS: 6.67
0
Ross is working on a project for art class using a computer graphics program. Ross wants to
create a rectangular framework for the final graphic. The area to be enclosed by the
framework is represented by the expression 5x2 + 8x - 4. What expressions can be used to
represent the length and width of the rectangular framework?

Answers

the expression for this question of 5x3+8x - 4 would be


⚠️help!!⚠️ i’ve been stuck for 15 minutes!

Answers

Answer:

y=2x−5 is a line

Step-by-step explanation:

Explanation: y=2x−3 is in slope intercept form for a linear equation, y=mx+b , where m is the slope and b is the y-intercept. The y-intercept is the point at which x=0 and y=−3 , which is point (0,−3) You can plot this point on your graph.

please help, this is due in a few minutes and i’ll be giving points and brainlest, thank you so much !!

Answers

Answer:

b

Step-by-step explanation:

11points HELP PLZ!!!

Answers

Answer: 0.00215

Step-by-step explanation:

10^-3 =0.001

2.8 • 0.001 - 0.00065

=0.00215

Answer:

2.15 × 10⁻³

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

72 is what percent of 35?

Answers

answer:48.611111111111%

4. Look at the model. Write three equivalent fractions for the shaded part.
(3 pts)

Answers

Answer:

1/2,5/10,4/8

Step-by-step explanation:

half of the box is shaded.

this means that 1/2 is shaded.

also, there are 5/10 boxes shaded.

we can make up another one: 4/8

all of these can be reduced to 1/2.

Which values from the set {0, 1/2 , 2.5, 4} make the inequality 8g < 4 true?

Answers

Answer:

only 0

Step-by-step explanation:

8g < 4 simplifies to g < 4/8, i.e., g < 1/2

only 0 is smaller than 1/2

Q. Three years ago, the population of a certain species of bird was calculated at 20 birds per acre
This year, a biologist recorded a total of 47 birds in an area equal to 3.25 acres. By about what
percentage has the bird population in the biologist's sample decreased over the last 3 years, to
the nearest tenth?
A. 14.7%
B. 27.7%
C. 38.3%
D. 42.6%
E. 72.3%

Answers

14.7 because you need to decide how many the second is per acre acre at first

Find the solution to the system by graphing

Answers

Answer:

y = -3x + 1 (Red line)

y = x - 7 (Blue line)

I'll mark you as the brainiest if you get this correct
thx xxx

Answers

Answer:

Multiply 3

Step-by-step explanation:

Compare using <, >, or =. 3/6___3/7

Answers

3/6<3/7

Step-by-step explanation:

3/7 is more than 3/6 because the bigger mouth of a crocodile goes to the bigger piece of the food basically saying that 3/7 is bigger.

Answer:

3/6<3/7

Step-by-step explanation:

Why is it important to be careful of the order of the two letters used when naming a ray?

Answers

Answer:

Because one letter represents an endpoint and the other doesn't.

Step-by-step explanation:

Ray AB starts at endpoint A and goes through point B and then on, indefinitely.

Ray BA starts at endpoint B and goes through point A and then on, indefinitely.

They 'point' in opposite directions.

A TV has an original price of $599. Enter the new price after the given
percent of change 20% decrease

Answers

Answer:

479.2 is the new price after a 20% decrease

Please help if you can, thanks

Answers

Answer:

what does the picture say

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