Find the derivation of the following functions with they corresponding variables
Answers
Answer:
d(f(t))/dt = –56/(t^8) – (5/6)/t^(7/6) + 12t^3 – 2t + (1/3)t^(2/3))
Step-by-step explanation:
To find the derivative of f(t), we have to find the derivative of each component of the function to make it easier.
d(8/(t^7))/dt = d(8xt^-7)/dt = –7 x 8 x t^-8 = –56t^-8 = -56/(t^8)
d(5/(t^(1/6)))/dt = –(1/6) x 5 x t^(-7/6) = –(5/6)/t^(7/6)
d(3t^4)/dt = 4 x 3 x t^3 = 12t^3
d(t²)/dt = 2t
d(t^⅓)/dt = ⅓t^(-2/3) = (1/3)t^(2/3))
d(12)/dt = 0.
Therefore,
d(f(t))/dt = –56/(t^8) – (5/6)/t^(7/6) + 12t^3 – 2t + (1/3)t^(2/3))
Related Questions
Question
After attending a car show, Katrina decides to start saving for a car. She places $50 of her most recent paycheck into a jar and
commits to adding $150 every month to save for a down payment. Her total amount saved for the car, y, after x months can
represented by this equation:
y 150x + 50
Answers
Answer:
I think the equation would be y=150x+50
And also, please identify what the price of the car is, or at least the number of months. We need to identify at least 1 of the variables.
Answer:
Step-by-step explanation:
thanks for the help!
Answers
Explanation:
The term "bisect" means "divide in half", or "divide in two equal pieces".
Angles A = 58 and B = 96 divide in half to get 29 and 48 respectively
Find their sum and subtract it from 180 to get angle AMB
29+48 = 77
180-77 = 103
A diagram is shown below.
Can someone please help me?
How can knowing how to represent proportional relationships in different ways be useful in solving problems?
Answers
Answer: Knowing proportional relationships help in different ways such as in constant change, multiple representations, etc.
Hope this helped.
What is 32% lower than 501,950?
Answers
Answer:
341, 326
Step-by-step explanation:
The gas tank on the back of a tanker truck can be equated to a cylinder with a diameter of 8 feet and a length of 19 feet. A gallon of gas is approximately 231 cubic inches. The density of the gasoline is .0262 pounds per cubic inch. The driver has stopped at a local farm to fill a tank that has linear dimensions that are 2/3 the size of his tank. If the driver's tank was full and the farmer's tank was empty, what is the mass of the gasoline in each of the tanks after the smaller tank is full?
Answers
9514 1404 393
Answer:
driver's tank: 30,427 lbfarmer's tank: 12,811 lbStep-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr^2·h . . . radius r, height h
The radius of the driver's tank is half its diameter, so is (8 ft)/2 = 4 ft. Then the volume of that tank is ...
V = π(4 ft)^2·(19 ft) = 304π ft^3
Each cubic foot of gasoline has a mass of ...
(1728 in^3/ft^3)(0.0262 lb/in^3) = 45.2736 lb/ft^3
Then the total mass in the driver's full tank is ...
(304π ft^3)(45.2736 lb/ft^3) ≈ 43,238.3 lb
__
The farmer's tank is a scaled-down version of the driver's tank. It's volume will be scaled by the cube of the linear scale factor, so will be (2/3)^3 = 8/27 of the volume of the driver's tank.
The farmer's tank will hold a mass of (43,238.3 lb)(8/27) ≈ 12,811 lb.
The amount remaining in the driver's tank is 43,238 -12,811 = 30,427 lb.
Katie is planting a garden for her science fair project she needs 2/3 of a cup of soil to go in a different parts how many cups of soil does she need in total
Answers
Katie requires 16/3 cups of the soil for planting a garden for her science fair.
How to calculate the total amount?Algebra is a mathematical technique for calculating unknown values.
Variables represent unknown parameters in an equation and are usually categorized by a letter of the alphabet. The value of the variable is determined by isolating it.Now, for the stated question;
Katie has been planting a garden for her science fair project. She requires 2/3 of a cup of soil for each of the eight pots.
To calculate the total amount of soil required, multiply the amount required for one pot by the number of total pots.
Total soil = (2/3)×8
Total soil = (2×8)/3
Total soil = 16/3
Therefore, the total amount of the soil requires for the gardening in science fair is 16/3 cups.
To know more about the equation, here
https://brainly.com/question/25976025
#SPJ9
Find a benchmark for 24% using that- what fraction is 24% close to?
A. 1/6
B. 1/8
C. 1/4
Answers
Answer: B. 1/8
Step-by-step explanation:
Please I’ll mark you brainliest no cap
Answers
What is the lowest form of this fraction 640/1000
Answers
Answer:
16/25
Step-by-step explanation:
Factor 40 out of 640 and 1000
This leaves you with 16 and 25.
Answer:
16/25
Step-by-step explanation:
640/1000
64/100
(divide 4/4)
16/25
What is the sum of 36oz and 4 pounds
A. 6lb
B. 6lb, 4oz
C. 96oz
D. 98oz
Please include explanation:)
Answers
There are 16 oz in a pound. 16(2)=32 and there are 4 oz leftover.
CMON HELP ME PLEASE IM SUPER DESPREATE I CANNOT FAIL HADAOSJDPOKD0NA UABAUDB
Answers
Answer: C. (5)
Step-by-step explanation:
Answer:
Pretty sure it's C!
I also hope you don't fail
Step-by-step explanation:
5x -2y=18 what does x and y equal?
Answers
Answer:
[tex]x,y\ could\ be\ any\ real\ numbers[/tex]
Step-by-step explanation:
[tex]As\ a\ linear\ equation\ in\ two\ variable\ has\ infinite\ solutions,\\5x-2y=18, will\ also\ have\ infinite\ solutions\ and\ x\ and\ y\ can\ take\ any\ real\ values.[/tex]
Use the table below to answer the following questions.
Notebooks Cost
3
4
(Dollars)
$1.65
$2.20
$2.75
$3.30
5.
6
Answers
Question 8, 1.2.35-PS
Part 1 of 5
iew an example
HW Score: 44.44%, 4
O Points: 0 of 1
- Scatterplots and Graphs
K
If a ball is thrown into the air at 96 feet per second from the top of a 109-foot-tall building, its height can be modeled by the function S=109+961-162, where S is in feet and t is in seconds.
Complete parts a through e below.
a. Graph this function for t representing 0 to 8 seconds and S representing 0 to 300 feet. Choose the correct graph below.
Answers
Answer:
23
Step-by-step explanation:
Subtract. Write the answer in lowest terms.
6 1/6 - 2 5/6
Answers
Answer:
61/6_25/6=61_25/6=36/6 we divide =6The answer is 6Step-by-step explanation:
Please mark my answer as a brainliest. Please follow me. ❤❤❤Answer:
3 1/6
Step-by-step explanation:
look on the attachment i sent
What is the axis of symmetry for the function y=-(x-3)^2+5
Answers
Answer:
x = 3
Step-by-step explanation:
This is in vertex notation which means that it is written in y = (x-h)^2 + k format where the vertex is (h,k). In this case the vertex is (3,2) which means that at the x-axis of 3, that is where the parabola is mirrored and is in fact the axis of symmetry
PLEASE ANSWER ASAP!!Find a rational function that might have the given graph. (More than one answer might be possible.)
Answers
Answer:
The rational function that might have the given graph is [tex]y = - \frac{x}{(x+1)\cdot (x-1) }[/tex].
Step-by-step explanation:
This graph shows a rational function whose numerator is a first order polynomial and denominator is a second order, due to the presence of vertical asymptotes at [tex]x = -1[/tex] and [tex]x = 1[/tex]. The lead coefficient of the numerator must be 1, since horizontal asymptote must be [tex]y = 0[/tex] and intercept must be [tex]0[/tex], since [tex]y(0) = 0[/tex].
Then, we conclude that a rational function that might have the graph is:
[tex]y = - \frac{x}{(x+1)\cdot (x-1) }[/tex] (1)
We present the proof that given function is appropriate.
5x-2y=-3 -2x-y=-6 método de reducción suma y resta con procedimiento y respuesta doy corona a quien me ayude en menos de media hora
Answers
Answer:
(1, 4)
Step-by-step explanation:
5x-2y=-3 -2x-y=-6 =>
5x-2y=-3
-2x-y=-6 Multiply all three terms by -2: 4x + 2y = 12
Then we have:
5x-2y=-3
4x + 2y = 12
---------------------
9x = 9 and so x = 1. Then, using -2x - y = -6, and substituting 1 for x:
-2(1) - y = -6, or
2 + y = 6, or
y = 4
Then the solution is (1, 4)
Alicia and Karen are practicing for their cross country meet next week. They both start at their school. Alicia runs
2 miles east and 4 miles north, and Karen runs 5 miles west and 1 mile south. What is the straight line distance
between them at the end of their runs rounded to the nearest tenth of a mile?
A. 6.6
B. 7.6
C. 8.6
D. 9.6
Answers
Answer:
B,
(i used graph paper[I made a mistake, it's not A])
XZ is the angle bisector of angle WXy. solve for m. enter a number only
Answers
Answer:
m = 7
Step-by-step explanation:
An angle bisector is a line or ray that divides an angle into two equal angles
so ∠WXZ = ∠ZXY
10m - 28 = 5m + 7
10m - 5m = 7 + 28
5m = 35
m = 7
Evaluate cot arcsin 4/5
Answers
decimal form is 0.8
which one represents a linear function help ong please !!
Answers
Answer:
D is the correct answer
Solve for x
12/x=3/5
Answers
i’m pretty sure that’s the answer
Answer:
20
Step-by-step explanation:
12/x = 3/5
12 = 3*4
20 = 5*4
On tuesday a local hamburger shop sold a combined total of 504 hamburgers and cheeseburgers. The number of cheeseburgers sold was 3 times the number of hamburgers sold. How many hamburgers were sold on tuesday?
Answers
Answer:
126
Step-by-step explanation:
Let the no. of hamburger be n
Then the no. of cheeseburgers = 3n
3n + n = 504
4n = 504
n = 504 / 4
n = 126
Select the correct answer.
The graph below represents the following system of inequalities.
y> -3x + 5
Y > x -2
Answers
Answer:
B
Step-by-step explanation
We have
using a graph tool
see the attached figure
The solution of the system is the shaded area
we know that
The line is solid
The line passes through points and and is shaded above the line.
The line is solid
The line passes through points and and is shaded below the line
The two lines intersect at one point
therefore
the answer is the option
B) Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line.
Midpoints...........
Answers
Answer:
OP = 2
Step-by-step explanation:
please mark me brainliest and 5 star
Answer:
[tex]op = 2[/tex]
Step-by-step explanation:
[tex]look \: picture \\ \\ pls \: mark \: as \: brainliest[/tex]
3x-3+6 how many solutions would the equation have explain
Answers
Answer: 3x + 3
Step-by-step explanation:
What is the solution to the system of equations?
y = 3x - 4
2y - 6x = -8
Answers
Answer:
Infinite solutions.
Any number.
Step-by-step explanation:
First, substitute one of the variables, x or y into one of the equations.
Since y is already isolated, substitute it in 2y - 6x = -8.
2 (3x - 4) - 6x = -8
Distribute 2 to 3x and -4.
6x - 8 - 6x = -8
Bring like terms together.
6x - 6x - 8 = -8
move -8 over to the other side of the equation and change its sign.
Or just add 8 to both sides (it is the same thing.)
You add 8 because it is to cancel out the negative 8 and get rid of it.
6x - 6x = -8 + 8
This equals 0 = 0 so there are infinite solutions to this system of equations.
Expression P + 2p +3p +4p whats the equivalent expression
Answers
Answer:
10p
Step-by-step explanation:
p + 2p + 3p + 4p
= 10p
Answer:
10p
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
p + 2p + 3p + 4p
Step 2: Simplify
Combine like terms (p): 10ppls help I will fail 10th grade
Answers
Answer:
[tex]x ^{2} + 6x + 9 \\ \: = x ^{2} + (3 + 3)x \: + 9 \\ = x {}^{2} + 3x + 3x \: + 9 \\ \: \: \: \: = x(x + 3) + 3(x + 3) \\ = (x + 3) \: \: \: \: \: (x + 3)[/tex]
So, the Answer is (x + 3) (x + 3)