This question is incomplete, the complete question is;
Suppose u and v are functions of x that are differentiable at x=0
and that { u(0) = 7, u'(0) = -5 } { v(0)= -1, v'(0) = -4 }
Find the values of the following derivatives at x = 0.
a) [tex]\frac{d}{dx}[/tex]( uv )
b) [tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] )
c) [tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] )
Answer:
a) [tex]\frac{d}{dx}[/tex]( uv ) = -23
b) [tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] ) = 33
c) [tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] ) = -32/49 or - 0.6531
Step-by-step explanation:
Given that;
{ u(0) = 7, u'(0) = -5 } { v(0)= -1, v'(0) = -4 }
a)
[tex]\frac{d}{dx}[/tex]( uv )
we differentiate
[tex]\frac{d}{dx}[/tex]( uv ) = uv' + vu'
at x = (0), we substitute our values
[tex]\frac{d}{dx}[/tex]( uv ) = ( 7 × -4 ) + ( -1 × -5)
[tex]\frac{d}{dx}[/tex]( uv ) = -28 + 5
[tex]\frac{d}{dx}[/tex]( uv ) = -23
b)
[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] )
we differentiate
[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] ) = ( vu' - uv' ) / v²
at x=0, we substitute our values
[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] ) = ( (-1 × -5) - (7 × -4 ) ) / (-1)²
[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] ) = (( 5 - ( -28 )) / 1
[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] ) = 33 / 1
[tex]\frac{d}{dx}[/tex]( [tex]\frac{u}{v}[/tex] ) = 33
c) [tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] )
we differentiate
[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] ) = ( uv' - vu' ) / u²
at x=0, we substitute our values
[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] ) = ( (7 × -4) - (-1 × -4) ) / (7)²
[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] ) = ( -28 - ( 4 ) ) / 49
[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] ) = ( -28 - 4 ) /49
[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] ) = -32 / 49
[tex]\frac{d}{dx}[/tex]( [tex]\frac{v}{u}[/tex] ) = -32/49 or - 0.6531
1. The velocity of a car as it travels over a level crossing is modeled by v = t2 – 4t + 12
for 0 < t < 4 where t is the time in seconds after it reaches the crossing. When does the car reach its minimum speed? What is the minimum speed?
Show your work or strategy:
When does the car reach its minimum speed? _________________
What is the minimum speed? _________________________
Answer:
At t=2s the car reach its minimum speed
Minimum speed=8m/s
Step-by-step explanation:
We are given that velocity of car
[tex]v(t)=t^2-4t+12[/tex]
0<t<4
Differentiate w.r.t t
[tex]v'(t)=2t-4[/tex]
[tex]v'(t)=0[/tex]
[tex]2t-4=0[/tex]
[tex]2t=4[/tex]
[tex]t=2[/tex]
[tex]v''(t)=2>0[/tex]
The velocity is minimum at t=2 s
Substitute t=2
[tex]v(2)=2^2-4(2)+12[/tex]
[tex]v(2)=8m/s[/tex]
Hence, the speed of car is minimum at t=2 se and minimum speed of car=8m/s
The 3 points plotted below are on the graph of y=b^x. Based only on these 3 points, plot the 3 corresponding points that must be on the graph of y=log_b x by clicking on the graph.
Answer:
Step-by-step explanation:
What is the Pythagorean theorm
Answer:
The Pythagorean theorm is c=a2+b2
Step-by-step explanation:
Answer:
the pythagorean theorm is a² + b ² = c ²
Step-by-step explanation:
Factorise 9x^2y+12xy^2
Answer:
3x(3xy + 4y^²).
Step-by-step explanation:
Mskqkkqkaak
00:00
Anthony reads 1/2 chapter of his science book each night. He has 4 chapters left to read
How many nights will it take Anthony to finish the book? Enter your answer in the box.
nights
The number of nights that are needed to cover 4 chapters of the science book by Anthony is 8.
What are ratio and proportion?A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Anthony reads 1/2 chapter of his science book each night.
He has 4 chapters left to read.
[tex]\begin{aligned} \rm \dfrac{1}{2} \ chapeter &\rightarrow 1 \rm \ night\\\\1 \ \rm chapter &\rightarrow 2 \ \rm nights\\\\4 \ \rm chapters &\rightarrow 8 \ \rm nights \end{aligned}[/tex]
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ1
a submarine travels at an elevation of -75 3/4 ft relative to sea level then its elevation changes by - 16 3/8 what is the new elevation of the submarine
Answer:
[tex]New = -92\frac{1}{8}[/tex]
Step-by-step explanation:
Given:
[tex]x = -75\frac{3}{4}[/tex] --- Position
[tex]\triangle x = -16\frac{3}{8}[/tex] --- Change
Required
Find the new position
The new position is calculated as:
[tex]New = x + \triangle x[/tex]
[tex]New = -75\frac{3}{4} - 16\frac{3}{8}[/tex]
[tex]New = -75.75 - 16.375[/tex]
[tex]New = -92.125[/tex]
[tex]New = -92\frac{125}{1000}[/tex]
[tex]New = -92\frac{1}{8}[/tex]
Jenny earns $30 a day working part time at a supermarket. Write an expression to represent the amount of money she will earn in d days.
Answer: d($30)
Explanation: $30 times d which d is the number of days.
If f(x)=3x-1 find the following f(3) f(2)
Answer:
(4(f(2)
Step-by-step explanation:
If f(x(=3x-1 then f(3)f(2)
Suppose that a sample is taken from a population whose mean value is 76.
As the sample size increases, the sample mean will approach which value?
Answer:
The sample mean will approach 76
Step-by-step explanation:
Refer to Law of large numbers (LLN) and the central limit theorem (CLT)
For random sample, with sample size n, in population with expected value μ, the sample mean converge almost surely to the expected value μ as n -> ∞
Help please thank you
Answer:
Exponential
Step-by-step explanation:
Exponential describes a very rapid increase. An exponential rise in the number of first graders with head lice might be a result of all the hat sharing that's gone on lately.
Exponential is also a mathematical term, meaning "involving an exponent." When you raise a number to the tenth power, for example, that's an exponential increase in that number. When your next door neighbor describes the exponential growth of her rose bushes or the exponential increase in members of her book group, she means that there's been a sharp, fast expansion of both things.
BRAINLIEST WILL GIVE
Answer:
Commutative
Step-by-step explanation:
because both sides contain 4.3 + g in any order.
Answer:
this is commutative Property of Addition because they are showing that even when you change the order, the sum will equal the same amount.
Step-by-step explanation:
I hope this helps! ^^
☁️☁️☁️☁️☁️☁️☁️☁️
What is the percent of decrease from 20 to 19?
Answer: 5%
Step-by-step explanation:
If 20 = 100% , 1 = 5%
20 - 19 = 1
So the percent of decrease = 5%
I am not a professional, simply using prior knowledge!
Note- It would mean the world to me if you could mark my answer brainliest!
Using the order of Operations, find the soultion. Evaluate the Expression 17 + 32 - 5 x 4
Answer:
19
Step-by-step explanation:
49 - 20
19
hope it helps u
Answer: 29
Explanation: PEMDAS is
P=Parentesis
E=Exponents
M=Multiplication
D=Division
A=Addition
S=Subtraction
That's the oder of operations then it's -5×4=-20 and then 17+32=49 and 49-20=29
2.
(06.01)
Which of the following shows the correct evaluation for the exponential expression 6 over 7 to the power of 2 ? (2 points)
6 over 7 plus 2 equals 2 and 6 over 7
6 over 7 times 2 equals 12 over 7 which equals 1 and 5 over 7
6 over 7 times 6 over 7 equals 36 over 49
6 over 7 divided by 2 equals 6 over 14
Answer:
C/3rd
Step-by-step explanation:
A bike rental company charges based on the distance you travel. Their rates are represented in the graph where y is cost and x is miles
Markup & Markdown
In the questions below, you will be ask about situations involving markups and
markdowns. Anytime your answer deals with money, round to the nearest hundredths place and
include proper unit labels. Be sure to show all of your work for each problem.
1. The managers at the hunting store usually determine their prices by using a markup of 11
percent. If they purchased camo pants for $45 each, what will be the price for their customers?
2. The fishing store manager buys flies from a wholesale company for $2.50 apiece. If he prices
each fly for the customers at $3.75, what is the markup percentage?
0.45+100x 11=4.95+45=49.95
50-1008 2.50 = 1.25=50%,
3. The pet store managers purchase dog food from a wholesale company for $3.75 a bag. If
they sell the dog food to the customers for $5.00 a bag, what is the markup percentage they are
using?
Answer:
$49.95 ; 50% ; 33.33%
Step-by-step explanation:
1.)
Markup % = 11%
Purchase price = $45
Selling price will be :
(100 + 11)% * $45
1.11 * $45 = $49.95
2.)
Purchase price = $2.50
Selling price = $3.75
Markup % :
Profit / purchase price * 100%
[(3.75 - 2.50) / 2.50)] * 100%
1.25 / 2.50 * 100%
0.5 * 100% = 50%
3.)
Purchase price = $3.75
Selling price = $5.00
Markup % :
Profit / purchase price * 100%
[(5.00 - 3.75) / 3.75)] * 100%
1.25 / 3.75 * 100%
0.3333 * 100% = 33.33%
15x+2y=4000........(1)
10x=4y....(2)
find value of X & Y
Answer:
x = 400
y = 1000
Step-by-step explanation:
Step 1
mult by the first equation by 2
15x + 2y = 4000 ....... x 2
30x + 4y = 8000
the second equation is
10x = 4y
=
10x - 4y =0
then subtract the second equation from the first one
30x + 4y = 8000
- (minus)
10x - 4y = 0
the you will get
20x = 8000
x = 8000/20 = 400
then you will substitute value of x in any the give equation to work out the value of y
find the slope of the line that passes through (8,10) and (5,5)
Answer:
5/3
Step-by-step explanation:
The slope is the rise over run or the change in y over the change in x. One way to find the slope is through the formula, which is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. To use this simply plug in the two points. In this case, the expression would be [tex]\frac{10-5}{8-5}[/tex]. This simplifies down to 5/3.
The table shows values for functions f(x) and g(x)
What is the solution to f(x)=g(x) ?
Select each correct answer.
A. −3
B. −2
C. −1
D. 0
E. 1
F. 2
G. 3
Answer:
E) 1
Step-by-step explanation:
this is when both functions have the same value
What is the area of the shaded region?
Answer:
approx 54.94
Step-by-step explanation:
area of square is 16^2=256
area of circle is pi(8^2)= approx 201.06
256-201.06=54.94
Answer:
[tex] 55.04 \: {cm}^{2} [/tex]
Step-by-step explanation:
Side length of square = 16 cm
Diameter of circle = Side of square = 16 cm
Radius of circle = 16/2 = 8 cm.
Area of the shaded region =
Area of square - Area of circle
[tex] = {16}^{2} - \pi\times {8}^{2} \\ \\ = 256 - 3.14 \times 64 \\ \\ = 256 - 200.96 \\ \\ = 55.04 \: {cm}^{2} [/tex]
Pls help I have homework and it’s for a graded
Answer:
1.) 3
2.) 15
3.) 12
4.) 12
5.) 5
6.) 6
7.) 7
Element X decays radioactively with a half life of 9 minutes. If there are 760 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 19 grams?
Answer:
Step-by-step explanation:
760·0.5^(t/9) = 19
0.5^(t/9) = 19/760
2^(-t/9) = 0.025
-t/9 = log₂(0.025)
t = -9log₂(0.025) = 47.9 minutes
Answer:
47.9 minutes
Step-by-step explanation:
is 14.31 REPEATING at 31 irrational or rational
Answer:
rational
Step-by-step explanation:
it's an decimal from above
If i have 2 apples, how many apples would I have if i divided 2 by 7 ( the number of crates the apples are in)
Answer:
You can't divide 2 by 7 unless you will round and need a decimal because it will equal 0.28571428571 but if you mean 7 divided by 2 then that would get you 3.5
Step-by-step explanation:
Which step could you use to start solving the system of equations below?*
x + y = 3
-3x – 2y = -7
Please show how to do
Answer:
Slope = -3.5
Step-by-step explanation:
Find the slope using any two given pair of values. Let's use (6, -21) and (12, -42).
Slope = ∆y/∆x
Slope = (-42 -(-21)) / (12 - 6)
Slope = -21/6
Slope = -3.5
KFC sells whole chicken dinners for 12 and half chicken dinners for 8. Yesterday it sold a total of 400 dinners and took in 4200. How many of each size dinner were sold? What were the cedi sales of each size dinner?
Answer:
150 half chicken and 250 full chicken
Step-by-step explanation:
Represent whole chicken with w and half chicken with h.
So, we have:
[tex]Total = 400[/tex]
Which implies that:
[tex]w + h = 400[/tex]
Also:
[tex]Amount =\$4200[/tex]
Which implies that:
[tex]12w + 8h = 4200[/tex]
So, we are to solve for h and w from:
[tex]w + h = 400[/tex]
[tex]12w + 8h = 4200[/tex]
Make h the subject in the first equation
[tex]h = 400 - w[/tex]
Substitute 400 - w for h in the second equation
[tex]12w + 8(400 - w) = 4200[/tex]
[tex]12w -8w + 3200 = 4200[/tex]
[tex]12w -8w =- 3200 + 4200[/tex]
[tex]4w =1000[/tex]
[tex]w = 250[/tex]
Recall that:
[tex]h = 400 - w[/tex]
[tex]h = 400 - 250[/tex]
[tex]h =150[/tex]
Find all the zeros and their multiplicities for the function. d(x)=x^3+3x^2-4x-12
Step-by-step explanation:
1) x³+3x²-4x-12=x²(x+3)-4(x+3)=(x²-4)(x+3)=(x-2)(x+2)(x+3).
2) zeros of the given functions are: -3; -2; 2.
Find the distance between (-5,6)and (3,2).
Answer:
[tex]\displaystyle d = 4\sqrt{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-5, 6) → x₁ = -5, y₁ = 6
Point (3, 2) → x₂ = 3, y₂ = 2
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formulas]: [tex]\displaystyle d = \sqrt{(3+5)^2+(2-6)^2}[/tex][Distance] [√Radical] (Parenthesis) Add/Subtract: [tex]\displaystyle d = \sqrt{(8)^2+(-4)^2}[/tex][Distance] [√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{64+16}[/tex][Distance] [√Radical] Add: [tex]\displaystyle d = \sqrt{80}[/tex][Distance] [√Radical] Simplify: [tex]\displaystyle d = 4\sqrt{5}[/tex]what is the unit rate for 350 miles in 7 hours
Answer:
50 miles per hour
Step-by-step explanation:
Just divide 350 by 7
