find the derivative of the following function, with a positive index (differentiation)
pls help there’s a picture
Answers
Answer:
2nd option
Step-by-step explanation:
Using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
Given
f(x) = [tex]\frac{3}{2\sqrt[3]{x} }[/tex] = [tex]\frac{3}{2x^{\frac{1}{3} } }[/tex] = [tex]\frac{3}{2}[/tex] [tex]x^{-\frac{1}{3} }[/tex] , then
f'(x) = - [tex]\frac{1}{3}[/tex] × [tex]\frac{3}{2}[/tex] [tex]x^{-\frac{4}{3} }[/tex]
= - [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{x^{\frac{4}{3} } }[/tex]
= - [tex]\frac{1}{2x^{\frac{4}{3} } }[/tex] = - [tex]\frac{1}{2\sqrt[3]{x^4} }[/tex] [ Note there should be a leading negative ]
Related Questions
Which of the following statements is false? PLEASE HELP ASAP!
Answers
Answer:
C
Step-by-step explanation:
In a game for 24 groups, the average number of children was 16. When one more group of children was formed to join in the game, the average number of children became 18. The number of boys to girls who had just joined in the game was in the ratio 5:6. If there were 220 boys at first, how many more boys than girls were in the end?
Answers
Answer:
50 boys
Step-by-step explanation:
The number of groups = 24
The average number of children = 16
The new average number of children when one group is added = 18
The ratio of boys to girls in the group that just joined = 5:6
The initial number of boys = 220
Let the initial number of children
The initial total number of children = 24 × 16 = 384
The initial number of girls = 384 - 220 = 164
The final number of children = 25 × 18 = 450
The number of children in the group that joined in the game = 450 - 384 = 66
The ratio of boys to girls in the group = 5:6
Therefore, we get;
The number of boys = 66 × 5/11 = 30
The number of girls = 66 - 30 = 36
The number of boys at the end = 220 + 30 = 250
The number of girls at the end = 164 + 36 = 200
The number of more boys than girls at the end = 250 - 200 = 50
The number of more boys than girls at the end = 50 boys
Bonus Question:
a. Consider the function f(x) = ax^2 + c
Find f'(x)
b. Point A (-2, 5) lies on the graph of y = f(x).
The gradient of the tangent to this graph at A is -6. Find the value of a.
c. Find the value of c.
Please answer this question and please show your work too. Anyone who is able to do this correctly will receive 50 points from me. (This assignment is about Derivatives)
Answers
Answer:
I'm not sure what to do not doing this in skl
ANSWER IS C
Which number line represents the solution to 2.5 – 1.2x < 6.5 – 3.2x?
1.) A number line from negative 5 to 5 in increments of 1. An open circle is at 4 and a bold line starts at 4 and is pointing to the left.
2.) A number line from negative 5 to 5 in increments of 1. An open circle is at 4 and a bold line starts at 4 and is pointing to the right.
3.) A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 4 and is pointing to the left.
4.) A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 4 and is pointing to the right.
Answers
Answer:
x <2
Step-by-step explanation:
2.5 – 1.2x < 6.5 – 3.2x
Add 3.2x to each side
2.5 – 1.2x+3.2x < 6.5 – 3.2x+3.2x
2.5 +2x < 6.5
Subtract 2.5 from each side
2.5+2x-2.5<6.5-2.5
2x<4
Divide by 2
2x/2 < 4/2
x <2
Help
Will
Give
BRIANLIST
Answer
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A factory employs 200 men and 50 women. 80 of the men are each paid $100, the rest are paid $80 and the women are paid $50, what is the total wage bill.
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explain by step by step pls :( if u type something wrong ill report u
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Answer:
∠ C = ∠BCD = 30°
Step-by-step explanation:
∠ EDF = ∠GFC = 110° [ corresponding angles ]
Now consider triangle BCF
∠FBC + ∠ABC = 180° [ straight line angle ]
∠FBC + 100° = 180°
∠FBC = 180 - 100 = 80°
∠BFC + ∠GFC = 180° [ straight line angle ]
∠BFC + 110° = 180°
∠BFC = 180 - 110 = 70°
Sum of angles of triangle is 180°
Therefore , in triangle BCF
That is ,
∠F + ∠B + ∠ C = 180°
70° + 80° + ∠C = 180°
∠C = 180 - 150 = 30°
cos 45°×tan 60°/cot 30° find the value
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Please help me ASAP
Answers
Answer:
4. =3 ft
5. 2/1.25 lb
Answer:
4) 3 ft = 36in ⇔ [tex]\frac{36in}{12in}[/tex] = 3 inches
5) 2 lb = 32 oz ⇔ [tex]\frac{32oz}{20oz}[/tex] = 1.6 oz
cant figure it out. pls help
Answers
[tex]\longrightarrow{\green{x\:=\:6}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
➝[tex] \:\frac{3x + 2}{4} = \frac{x + 4}{2} [/tex]
➝[tex] \: 2(3x + 2) = 4(x + 4)[/tex]
➝[tex] \: 6x + 4 = 4x + 16[/tex]
➝[tex] \: 6x - 4x = 16 - 4[/tex]
➝[tex]\:2x = 12[/tex]
➝[tex] \: x = \frac{12}{2} [/tex]
➝[tex] \: x = 6[/tex]
Therefore, the value of [tex]x[/tex] is 6.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
➪ [tex] \: \frac{3x + 2}{4} = \frac{x + 4}{2} [/tex]
➪ [tex] \:\frac{3 \times 6 + 2}{4} = \frac{6 + 4}{2} [/tex]
➪ [tex] \:\frac{18 + 2}{4} = \frac{10}{2} [/tex]
➪ [tex] \:\frac{20}{4} = 5[/tex]
➪ [tex] \: 5 = 5[/tex]
➪ [tex] \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{❦}}}}}[/tex]
You can identify sample spaces for compound events using organized lists, tables, and tree diagrams. Which of the three methods do you find easiest to use? Which method is the most helpful? Why? Use the Internet or another resource to find the definition of the Fundamental Counting Principle. What does this principle state? How can the principle be used to help you identify a sample space for a compound event? What are the limitations of using the Fundamental Counting Principle when determining the probability of an outcome? Support your answers with an example.
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The fundamental counting principle is used to count the total number of possible outcomes that are in a situation.
What does the fundamental counting principle state?The fundamental counting principle states that if there are n ways of doing something, as well as m ways of doing another thing, then there are n×m ways to perform both of these actions.
The Fundamental Counting Principle helps when determining the sample space of probability as it figures out the total number of ways the combination of events can occur. Therefore, it is used as a guide when determining the sample space of a probability.
Lastly, the limitation is that the Fundamental Counting Principle is that it assumes that each basic event is equally probable, which does not necessarily have to be true.
Learn more about counting principle on:
https://brainly.com/question/24358027
Answer:
The fundamental counting principle is used to count the total number of possible outcomes that are in a situation
Step-by-step explanation:
please help me which of the following is the quotient of the rational expressions shown below
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Answer is C
✔✔✔✔✔✔✔✔✔✔✔✔✔✔✔✔✔
ifthe radius of a cylinder is 4cm and height is 10cm, then the total surface area
Answers
Answer:
SA = 112π cm²
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Surface Area of a Cylinder Formula: SA = 2πrh + 2πr²
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify
r = 4 cm
h = 10 cm
Step 2: Find Surface Area
Substitute in variables [Surface Area of a Cylinder Formula]: SA = 2π(4 cm)(10 cm) + 2π(4 cm)²Evaluate exponents: SA = 2π(4 cm)(10 cm) + 2π(16 cm²)Multiply: SA = 80π cm² + 32π cm²Add: SA = 112π cm²Area = 50.27
3p²q - 6pq² help me please .
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3p²q - 6 pq²
3pq (p - 2q )
I think this is the solution
A number is multiplied by 2, and then 5 is subtracted. The result is 43.
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Answer: The answer is 7.
Find the area of the following composite figure please
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Step-by-step explanation:
answer is in photo above
PLEASE HELP DUE TOMORROW
you dont need the other part its just the same question but different
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Answer:
for the firt one the patters is +6 +7 +8 +9
Step-by-step explanation:
Please help me ASAP
Answers
Answer:
no
Step-by-step explanation:
no
(2x–y)²–(y+2)²-----------
Answers
Answer:
4x² -4xy -4y -4
Step-by-step explanation:
[tex]\boxed{ {a}^{2} - {b}^{2} = (a + b)(a - b)}[/tex]
In this case, a= 2x -y and b= y +2.
(2x -y)² -(y +2)²
= (2x -y +y +2)[2x -y -(y +2)]
= (2x +2)(2x -y -y -2)
= (2x +2)(2x -2y -2)
= 2x(2x) +2x(-2y) +2x(-2) +2(2x) +2(-2y) +2(-2) (expand)
= 4x² -4xy -4x +4x -4y -4
= 4x² -4xy -4y -4
Alternatively, start by expanding the brackets.
[tex]\boxed{(a - b)^{2} = {a}^{2} - 2ab \: + {b}^{2} }[/tex]
[tex]\boxed{(a + b)^{2} = {a}^{2} + 2ab \: + {b}^{2} }[/tex]
(2x -y)² -(y +2)²
= 4x² -4xy +y² -(y² +4y +4)
= 4x² -4xy +y² -y² -4y -4 (expand)
= 4x² -4xy -4y -4 (simplify)
assume that supply function is p=c+dQ.When the price per unit of a product is Rs.60,the quantity supplied is 400 but when the price per unit increases to Rs.80,the quantity supplied increases to 600.Find the values of c and d.Also, find the relation between P and Q
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is it like this pls don't mind how I snap it
Find the direct variation equation
Answers
Answers:
The direct variation equation is y = 5xIf x = 4, then y = 20=================================================
Explanation:
Let's say that the letter k replaces the green box
We have the equation y = kx
Plug in (x,y) = (7,35) to get the equation 35 = k*7
Dividing both sides by 7 leads to k = 5
Therefore, the direct variation equation is y = 5x
We can check this by plugging in x = 7
y = 5x
y = 5*7
y = 35
So x = 7 leads to y = 35 as expected.
-------------
Do the same for x = 4
y = 5x
y = 5*4
y = 20 when x = 4
Side note: direct variation equations always go through the origin.
Answer:
20
Step-by-step explanation:
if y varies directly with x, then it takes the form y=mx
to find m, substitute in the values of x and y to get 35=m*7 and simplify to get that m=5
then the equation becomes y=5x
substitute in the value they gave for x which is 4 to get y=5*4
to get that y=20
Al lanzar un dado dos veces consecutivas. ¿Qué probabilidad hay de obtener primero un 3 y luego un numero par?
Answers
Answer:
The probability is 1/12.
Step-by-step explanation:
Number of elements in sample space is 6 . Even numbers are 2, 4 and 6 so the there are 3 three even numbers.
So, the probability of getting 3 on the first chance and then an even number in the second chance is
[tex]P = \frac{1}{6}\times \frac{3}{6}\\\\P = \frac{1}{12}[/tex]
John measured two pieces of string. One piece measured 7/12 m and the other measured 4/7 m.
Select the true statement about the lengths of John's string.
Answers
1) 7/12= 0.58, 4/7= 0.57
they are about 1/2
2) 7/12 + 4/7 = 97/84= 1.15 approximately 1
which is 1m from the option
There are five peanut brittle to every two chocolate if there is a box of 28 sweets how many cholocate are there
Answers
Answer:
8 chocolates
Step-by-step explanation:
im not really good at math and didnt use an equation but if you add 5 and 2 together until 28 and then count up how many 2's you added, you should get the answer! sorry if this isnt helpful <3
What is the inverse of the statement below?
x →y
A. -X
B. y = x
C. y = x
O D. -x=y
Help plz
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Answer:
d -x=y the awnssr may not be correct but I tried so
The length of a rectangle is 5m longer than the width. The perimeter of the rectangle is 82m. Find the length and the width of the rectangle. *
Answers
Answer:
+ 5 = length 2x + 2(x + 5) = 38
In triangle CVR, the midpoint of segment CR is S and the midpoint segment CV is T. What term can be used to describe segment ST
a. angle bisector
b. chord
c. midsegment
d. perpendicular bisector
Answers
Answer:
C. Midsegment
Step-by-step explanation:
A midsegment is the line segment connecting the midpoints of two sides of a triangle. Since a triangle has three sides, each triangle has three midsegments. A triangle midsegment is parallel to the third side of the triangle and is half of the length of the third side.
The picture below is just an example of what midsegments look like. If you draw out triangle CVR, put points in between CR and CV, and draw a line connecting the two points. You'll see that it looks exactly like a midsegment.
The term "midsegment" is being used to denote the ST segment.
A midsegment is a line that connects the midpoints of 2 triangle edges. A triangle's midsegment is half the size of the triangle's 3rd side and runs parallel to it.
If we create a triangle CVR, insert points across CR and CV, and link the two points with a line.
So, Option "C" is the correct answer to the following question.
Learn more:
https://brainly.com/question/2273557?referrer=searchResults
what is the answer
Which inequality represents the graph?
Answers
Answer:
y ≤ x - 2
Step-by-step explanation:
Using the coordinate points on the graph (0, -2) and (2,0)
The general equation of the line will be y = mx+b
Slope m = 0-(-2)/2-0
m = 2/2
m = 1
From the coordinate (0, -2), this shows that the y intercept is -3
Get the equation
y = 1x + (-2)
y = x - 2
Since the line is a thick line and shaded towards the negative y-axis, the required inequality expression will be y ≤ x - 2
Which is greater than 4?(show work)
(a) 5,
(b) -5,
(c) -1/2,
(d) -25.
Answers
Answer:
Letter A) 5
Step-by-step explanation:
all the other answers are negative so they are less than 4.
5 comes after 4 so 5 is greater than 4.
Hope this is helpful
Which of the following is an equation of the line that passes through the point (1, 1) and has a slope of 2?
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Answer:
You didn't provide " the following" from which to choose.
Here are two solutions
y = 2x - 1
y - 1 = 2(x - 1)