Answers
Answer:
see explanation
Step-by-step explanation:
Given f(x) then the derivative f'(x) from first principles is
f'(x) = lim ( h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{3(x+h)^3+2-(3x^3+2)}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{3(x^3+3x^2h+3xh^2+h^3)+2-3x^3-2}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{3x^3+9x^2h+9xh^2+3h^3-3x^3}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{9x^2h+9xh^2+3h^3}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{h(9x^2+9xh+3h^3)}{h}[/tex] ← cancel h on numerator/ denominator
= lim ( h to 0 ) 9x²+9xh+3h² ← let h go to zero
f'(x) = 9x²
Related Questions
Find the value of x and y.
Answers
Answer:
X=63 y=27
Step-by-step explanation:
X and 117 are on a straight line. All straight lines = 180 degrees.
180 - 117 = 63
90 - 63 = 27
How many groups of 1/4 are in 3?”
Answers
Answer: 12
Step-by-step explanation:
1/4 = 0.25
2/4 = 0.50
3/4 = 0.75
4/4 = 1.00
If you do this three times, It will have an end result of twelve
hope this helps!!
Write the equation of a line parallel to the line y = 2x that passes through 0,4
Answers
Note: this answer assumes that the question accepts the equation to be written in slope-intercept form.
Answer:
y = 2x + 4
Step-by-step explanation:
To write an equation of a line knowing a slope and a y-intercept, you can use slope-intercept form, or y = mx+ b.
1) Lines that are parallel to each other have the same slope. The answer needs to be parallel to the line y = 2x, so whatever the slope of that equation is must be the slope of the answer, too.
y is isolated in y = 2x, meaning it is in slope-intercept form, or y = mx +b form. The m in y = mx + b represents the slope of the line. In the equation y = 2x, the 2 is in the place of that m - meaning that 2 is the slope of that line, and therefore the slope of the answer, too.
2) The question also says that (0,4) is a point the line must pass through as well. However, notice that the x-value of the point is 0, meaning it is positioned on the y-intercept. Therefore, (0,4) must be the y-intercept of the equation.
3) To write a linear equation with y = mx + b form, you need to replace the m and the b for real values. The slope is 2, and m represents the slope - so write 2 in place of the m. The b represents the y-value of the y-intercept point - knowing that point is (0,4), write 4 in place of the b. Therefore, the answer would be y = 2x + 4 (assuming the question can be written in slope-intercept form).
Solve And Graph 12 + 6 _> 42
Answers
Answer:
Steps
12+6>42
simplify
18>42
There for the solution us FALSE
Three students sit in the first row. In the second row, 3 students sit behind each of those students, and so on. Write an expression with exponents to show how many students sit in the third row? How many total students are seated?
Please help, I don't understand this. You get 65 points!
Answers
Answer:
15
Step-by-step explanation:
Dont need an explanation really, but if there are 5 rows, with 3 each in them, all you need to do is 3x5.
15.
WILL MARK YOU BRAINLIEST HELP WITH BOTH IF YOU CAN
Answers
Answer:
10) 51°
11) 152
Step-by-step explanation:
10) 42 + 9 = 51
11) 45(3.5) + 22(-.25) = 157.5 - 5.5 = 152
Answer:
1. it dropped by 51°F
im not too sure abt number 2
Does anyone know the answer to these?? Please answer quickly and please don’t joke around .
Answers
A holiday decoration involves blue and white lights.The ratio of blue lights to white lights is 3 to 2 . The box the decoration came in stated that the number of blue lights was 114 but didn't give the number of white lights or the total number of lights.
Answers
Answer:
a. 76 b. 190
Step-by-step explanation:
a. Number of white lights
Since the ratio of blue lights to white lights is 3 to 2 and the number of blue lights is 114, it follows that 3 : 2 = 114 : x where x is the number of white lights.
So, 3/2 = 114/x
cross-multiplying,
3x = 114 × 2
3x = 228
x = 228/3
x = 76
b. Total number of lights
So, the total number of lights is thus number of blue lights + number of white lights = 114 + 76 = 190
Mr. Lincon buys juice and water for the school picnic.A pack of 8 juice boxes costs 5 dollars. A pack of 6 water bottles costs 3 dollars. Mr Lincoln spends 95 dollars for 170 juice boxes and bottles of water
Answers
2 diminished by 7 times a number
Answers
The answer is 2-7x I'm 100% sure
Conray is 72 years old. He is three times his daughter's age. His daughter is three years younger than Nia.
How old is Nia?
1️⃣0️⃣‼ POINTS!!!
Answers
Answer: 27 I think
Step-by-step explanation:
72 divided by 3 plus 3
The age of Nia is given by the equation N = 27 years old
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the age of Nia be represented as N
Now , the equation will be
Let the age of Conray be C
The value of C = 72 years
And , Conray is three times his daughter's age
Let the age of Conray's daughter be D
The value of D = C / 3
Substituting the values in the equation , we get
The value of D = 72/3 = 24 years
And , Conray's daughter is three years younger than Nia
So , N = D + 3
Substituting the values in the equation , we get
N = 24 + 3
On simplifying the equation , we get
N = 27 years
Therefore , the value of N is 27 years
Hence , the age of Nia is 27 years
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
HELP ASAP
1.Which number or symbol is a variable in the following algebraic expression?
5 + 4y x 32
a 5
b 4
c y
d 2
2.Convert the following word phrase to an algebraic expression:
9 less than a number.
a x - 9
b 9 -x
c 9 ÷ x
d x ÷ 9
Answers
Answer: 1.C 2.B
Step-by-step explanation:
I need a bit of help!
Answers
Answer:
The correct answer is where red goes to orange.Blue goes to green and yellow goes to green
Answer:
The correct answer is where red goes to orange.Blue goes to green and yellow goes to green:
Rewrite the inequality with zero on one side and one rational expression on teh other. 3/x+2+4>3 what is the first step
Answers
Answer:
Add –3 to both sides
Step-by-step explanation:
edge 2021
what are the coordinates of this point?
giving brainliest answer to first person to answer
Answers
Answer:
Q) (-2, 2)
V) (2, 2)
Step-by-step explanation:
a fair 6 sided dice is rolled twice, what is the probability it will land on a 1 both times?
Answers
Answer:
The answer is 1/36
Step-by-step explanation:
The probability that it will land on 1 at any time is 1/6
So for the first time we have 1/6
For the second time, we have 1/6
For the both times, we have
1/6 * 1/6 = 1/36
Does anyone know how to work this out
Answers
blue cubes = 3x
green cubes = 15x
to make this simpler let's just say x = 1
so 1 yellow cube 3 blue cubes and 15 green cubes
so there are 19 cubes in total
1 of them are yellow
so she has a 1/19 chance of picking a yellow cube
Answer:
1/19
Step-by-step explanation:
y = number of yellow cubes
3y = number of blue cubes
5(3y) = number of green cubes
total number of cubes = 19
P(yellow) = 1/19
Your friend has $80 when he goes to the fair. He spends $4 to enter the fair and $12 on food. Rides at the fair cost $1 25 per ride. Which function can be used to determine how much money he has left over after x rides?
Answers
Answer:
80m - (12+4) = x
Step-by-step explanation:
Hope this helps! I mean its self explanatory
Answer:
$38.75
Step-by-step explanation:
We can add up the amount he spent before he started riding and we'll get $16. Subtract 16 from 80 which is 64. $64 dollars divided by $1.25 would be 51.2. We round down because he can't ride more then 50 rides. He would be able to ride 51 rides with the money he has. Let's say he rode 20 rides and then left the fair. We would subtract 20 from 51 and get 31. After that we would multiply 31 by 1.25 and get $38.75. So he would have $38.75 dollars after he left the fair.
if you have to do 198 assignments in 27 days how many assignments should you do daily?
Answers
Answer:
8 assignments a day
Step-by-step explanation:
(2x - 5), (2 +30), and (2x – 5)
Solve for x
Answers
Write an equation of the line that passes through the point (2,3) and is perpendicular to the line x = -1
Answers
Answer:
y = 3
Explanation:
Any equation of a line that is written as x = # (meaning x equaling whatever number) is vertical on the graph. Therefore, x = -1 is a vertical line. And since x equals -1, all the points on the graph must have an x-value of -1.
We need to find a line that is perpendicular to it - and what would be perpendicular to a vertical line would be a horizontal line. Horizontal lines are represented by the equation y = # (meaning y equaling whatever number). Whatever number is written there is the y-value of all the points the horizontal line intersects.
We know that the line has to pass through (2,3). Therefore, take the y-value of that point - which is 3 - giving us y = 3.
Answer:
w
Step-by-step explanation:
w
what is the formula to calculate velocity?
Answers
Answer:
Velocity (v) is a vector quantity that measures displacement (or change in position, Δs) over the change in time (Δt), represented by the equation v = Δs/Δt. Speed (or rate, r) is a scalar quantity that measures the distance traveled (d) over the change in time (Δt), represented by the equation r = d/Δt.
here is a picture.
I hope this helps.
Question 2
5x + 2y = 4
9x + 2y = 12
Answers
Answer:
x-intercept(s): ( 4 3 , 0 ) y-intercept(s): ( 0 , 6 )
Step-by-step explanation:
Step-by-step explanation:
5x+2y =4
5x= 4-2y
x= 4-2y/5
CAN SOMEONE PLEASE HELP ME???!!!
Answers
Answer:
D. The graph has a positive rate of change
Step-by-step explanation:
The graph's slope, or rate of change, is positive, which means that D is your answer.
Brandon has a collection of 400 marbles. Of these marbles, 15% are red, 40% are blue, and the rest are purple. How many marbles in Brandon's collection are purple?
Answers
Answer:180
Step-by-step explanation:
Since 15% of 400=60 and 40%=160 the total of this combined is 220. 400-220=180 which is the amount of purple marbles
1V1 ME FOR A YOU TUBE VID NAME IS QT ZIHMIR YT
Answers
Answer:
OMG
Step-by-step explanation:
qt zihmir yt
Answer:
thanks for the points I maybe check your yt.
Step-by-step explanation:
Refer to the diagram shown.
Answers
Answer:
60º
Step-by-step explanation:
HELLO URGENT PLS HELP ME WITH THIS
Directions: Prepare adjusting entries for the following; take note that the company is using the calendar year.
1. The cost of electricity used for the month of December 2018 is P4,000. The electricity bill was received and paid in January 2019.
2. Employees earned total salaries of P100,000 in December 2018. However, the salaries were paid only in January 2019.
Answers
Answer:
try subtracting 1000,000-40000. I may be wrong
I need help with this please!!!!! Can someone explain how to solve this step by step please!!!!! It’s due very soon so I need to finish it!!
Answers
Answer:
Is this a test
Step-by-step explanation:
What is the value of x?
Answers
x^2 + 9x + 20 = x^2 + 13x + 12
4x = 8
x = 2
x = 2
