The Leibnitz notation for the chain rule is
(1 point) Suppose y = sin(x2 - 4x). We can write y = sin(u), where u =
dy dy du
dy
du
The factors are
(written as a function of u ) and
dx du dx
du
dx
x for u to get
Now substitue in the function of
=
dy
dx
(written as a function of x ).
For this derivative, you could set
[tex]\boxed{u = x^2 - 4x}[/tex]
Then
[tex]y = \sin(x^2-4x) = \sin(u)[/tex]
so that
[tex]\boxed{\dfrac{\mathrm dy}{\mathrm du} = \cos(u)}[/tex]
and
[tex]\boxed{\dfrac{\mathrm du}{\mathrm dx} = 2x - 4}[/tex]
Then the chain rule gives
[tex]\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\mathrm dy}{\mathrm du}\dfrac{\mathrm du}{\mathrm dx} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = \cos(u)(2x-4) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = (2x-4)\cos(x^2-4x)}[/tex]
What is 2/5 + (1/5)2
Answer:
Answer in picture below
Answer:
2/5 + 2(1/5) = 2/5 + 2/5 = 4/5 = 0.8 or 80%
hey, could anyone solve this please?
it's driving me crazy.
Answer:
i think the answer is 17, but idontknow.
Step-by-step explanation:
:) sorry!!
What is the equation of this line?
y=3/4x+2
y=4/3x−2
y=3/4x−2
y=−3/4x−2
Answer:
y=3/4x-2
Step-by-step explanation:
Y-Intercept is -2 so it can't be the first option.
Then for the slope it goes up 3 and over 4. So the slope is 3/4.
So the equation is y=3/4x-2
The question is in the picture
Answer:
[tex]x=-1\\y=3\\z=-4\\[/tex]
Step-by-step explanation:
Please see attached document.
Solve the following for x :
y+x=z
a. x = yz
b. x = z - y
c. x = y - z
d. x = z/y
Explain.
Answer:
B. x = z - yStep-by-step explanation:
Move y to the opposite side of the equals sign while remembering to make it negative:
y + x = z
|_______|
x = z - y
Hope this helped. A brainliest would be very much appreciated. (I need 1 brainliest so I can level up) :)
Simplify: qp - 8m - m + 1 - m; use m = -3, p = 9, and q = 5
Answer:
The answer is 76
Step-by-step explanation:
qp - 8m - m + 1 - m; m = -3, p = 9, and q = 5
(5)(9) - 8(-3) - (-3) + 1 - (-3)
45 + 24 + 3 + 1 + 3 = 76
Thus, The answer is 76
-TheUnknownScientist 72
Determine the equation of the line passing through the point (4,5) with the slope equal to 2.
Answer:
y=2x-3
Step-by-step explanation:
slope (m)= 2
The Slope intercept of the line passing through (4,5) is
y=mx+b
5 = 2(4) + b
5 = 8 + b
b = -3
The equation of the line passing through pt. (4,5) is
y= mx+b
y=2x-3
Part A The problem involves a conversion from feet to miles. How many feet are in one mile? Use the Internet or another resource if you need help.Part B What is the height of the building in miles? Express the answer as a fraction in simplest form.Part C Use long division to find the decimal form of the building’s height in miles. Write the answer to four decimal places.Part D Review your answer to part C. Over which digit(s) must you draw an overline to show that the digit(s) repeat? Part E Christy’s sister, Chelsea, works in a nearby building that is 720 feet tall. What is the height of Chelsea’s building in miles? Express the answer as a fraction in simplest form. Part F Use long division to find the decimal form of the building’s height in miles. Write the answer to six decimal places. Part G Review your answer to part F. Over which digit(s) must you draw an overline to show that the digit(s) repeat?
Answer:
the answer is 3.14 when u solve it
Solve for x: 0.4x+3.8=1.6x+1.2-0.6x
please help me!
A moderately active man weighing 175 pounds should consume no more than 687 calories per day from fat sources. If fat contains 9 calories per gram, what is the maximum number of grams of fat he should consume? Give me a whole number or decimal rounded to one decimal place. Thanks! Expert only please.
According to the question, therefore, the maximum number of grams of fat he should consume will be 76.3 grams.
Step-by-step explanation:-Directly divide 687 by 9 as both are fat content. Therefore, by dividing them, we get to know about how grams of fat can be consumed.
✍️ By Benjemin
Stephanie sold half of her comic books
and then bought twenty more. She now
has 43. With how many did she begin?
Find the indicated side measure.
Help pls!!!!!!!
Answer:
t=8
DE=8
KL=33
AB=[tex]\frac{127}{13}[/tex]
Step-by-step explanation:
40=5t ÷ t=8
5x-12=3x-4 combine like terms 2x=8 x=4
10x+3=3x+24 combine like terms 7x=21 x=3
[tex]\frac{3}{2}x+4=\frac{1}{5}x+9[/tex] combine like terms 13x=50 [tex]x=\frac{50}{13}[/tex]
A jacket is on sale for 15% off. If
the original price is $165, how much
would you save by buying it on sale?
A. $ 15.00
B. $ 24.75
C. $140.25
D. $189.75
E. $247.50
Answer:
$24.75
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 165 × 15/100
Discount = 165 x 0.15
You save = $24.75
Final Price = Original Price - Discount
Final Price = 165 - 24.75
Final Price = $140.25
select all zeros of the function (x)=(x+10)(x-5) (x+1)
[tex]\rm\red{\overbrace{\underbrace{\tt\color{pink}{\:\:\:\:\:\:\:\:Answer:\:\:\:\:\:\:\:\:\:}}}}[/tex]
-10-15[tex]\large\blue{ChaEunWoo2009}[/tex]
#CarryOnLearning
Find the greatest common factor.
14x4, 22x7
Answer:
2
Step-by-step explanation:
What is (-4)x(-6)= that’s it
Answer:
24
Step-by-step explanation:
the negatives cancel each other out
Choose an equation that would be used to solve
0 = -x^2 + 10x -8
(x+25)^2 = -8
(x-5)^2 = 17
(x-10)^2 = 25
The equation that would be used to solve the function is (x+5)^2 = 17
Given the quadratic equation -x^2 + 10x -8 = 0
This can also be written as:
-x^2 + 10x -8 = 0
x^2 - 10x + 8 = 0
x^ 2- 10x = -8
The coefficient of x is -10
Half of the coefficient of -10 = -10/2 = -5
Square the result = 5^2 = 25
Add 25 to both sides of the equation
x^2 - 10x + 25 = -8 + 25
x^2 - 10x + 25 = 17
(x+5)^2 = 17
Hence the equation that would be used to solve the function is (x+5)^2 = 17
Learn more on completing the square here; https://brainly.com/question/10449635
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Find the are length of the partial circle.
either enter an exact answer in terms of ar or use 3.14 for a and enter your answer as a decimal
units
Answer:
where is the equation please put it
Alexa is preheating her oven before using it to bake. The initial temperature of the
oven is 75° and the temperature will increase at a rate of 10° per minute after being
turned on. What is the temperature of the oven 8 minutes after being turned on?
What is the temperature of the oven t minutes after being turned on?
Answer: i needed pointsss srry
Step-by-step explanation:
There was 5/8 of a pie in the fridge. Daniel ate 1/4 leftover. How much of a pie did he have
Answer:
Therefore, 15 / 32 of the pie is left in the fridge.
James uses 1 1/2 cups of milk and 2 1/4 cups of flour for his favorite cookie recipe. This makes 60 cookies. How much milk and flour would he need to make 40 cookies?
Answer:
to get you answer you would have to add 1 1/2 and 2 1/4, then your equation would be 60 ÷ 3 3/4 , then whatever your total is, multiply that by 40 and that would be your answer
The amount of milk and flour (x) that he needs to make 40 cookies will be 5/2 cups.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
James uses 1 1/2 cups of milk and 2 1/4 cups of flour for his favorite cookie recipe. This makes 60 cookies.
The amount of milk and flour will be
⇒ 1 1/2 + 2 1/4
⇒ 3/2 + 9/4
⇒ 15/4
Then the amount of milk and flour (x) that he needs to make 40 cookies will be
x / (15/4) = 40 / 60
x = 5/2 cups
The amount of milk and flour (x) that he needs to make 40 cookies will be 5/2 cups.
More about the Algebra link is given below.
https://brainly.com/question/953809
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i will give brainliest to the right answers
please help
Answer:
first answer = 2
second answer = 12
third answer = - 12
fourth answer = 2
Mindy's dog, Rex, weighed 80 pounds a year ago. Now he weighs 92 pounds. What is the percent increase in his weight?
A.
16%
B.
15%
C.
12%
D.
13%
Answer:
b.15%
Step-by-step explanation:
Calculate the sum.
29+59
options:
79
718
1845
−39
Answer:
718
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
88
Step-by-step explanation:
all the options are wrong it is 88
A line segment is 20 units long. The line segment is translated up 6 units and left 8 units. The length of the resulting line segment is units because translations length.
The first box is 20 and the second box is preserve
Answer:
A line segment is 20 units long. The line segment is translated up 6 units and left 8 units. The length of the resulting line segment is 20 units because translations do not change the length.
Hey ! Can anyone help me with this question please ? Thank you
Answer:
x=131°
Step-by-step explanation:
180°-49°=131°
<x is corressoping to the the angle next to <49°, so if you were to move it up there, it would be a linear pair or supplmentary angles, which equal 180°.
Help me please help me help please
Answer:
y = 4x + 4
y = rise/run + y-intercept
17. What is .25 written in its simplest fraction form? A. 100/25 B.215 C. 14 D.444
Answer:
[tex]25 = \frac{25}{100} [/tex]
so answer is
[tex]a) \: \: \frac{25}{100} [/tex]
Find the values of x, y, and z in the triangle to the right.
Answer:i think 24
Step-by-step explanation: