The value of the derivative at the maximum or minimum for a continuous function must be zero.
What happens with the derivative at the maximum of minimum?So, remember that the derivative at a given value gives the slope of a tangent line to the curve at that point.
Now, also remember that maximums or minimums are points where the behavior of the curve changes (it stops going up and starts going down or things like that).
If you draw the tangent line to these points, you will see that you end with horizontal lines. And the slope of a horizontal line is zero.
So we conclude that the value of the derivative at the maximum or minimum for a continuous function must be zero.
If you want to learn more about maximums and minimums, you can read:
https://brainly.com/question/24701109
what is the equation of the following graph?
Answer:
Step-by-step explanation:
When figuring out the graph of a sinusoidal, I keep in mind the acronym FPARHM:
F - function (sine or cosine)
P - period
A - amplitude
R - reflections
H - horizontal/phase shift
M - midline
Looking at the graph, we can figure out that the function is sine (since it intersects the origin at its midpoint, the period is [tex]\pi[/tex] (because it repeats every [tex]/pi[/tex] units in the x-direction, the amplitude is 2 (because the graph's extreme points are 2 units away from the midline in the y-direction, there are no reflections, no horizontal/phase shift, and the midline is [tex]y=0[/tex] (since the graph isn't shifted up or down in the y-direction.
Finally, knowing all these parts, we can piece together the equation of the sinusoidal graph. In general, the equations of sinusoidal graphs are in the form [tex]y=a\sin(bx+c)+d[/tex] where [tex]|a|[/tex] is the amplitude, [tex] \frac{2\pi}{|b|}[/tex] is the period, [tex] \frac{c}{b}[/tex] is the horizontal shift, and [tex]d[/tex] is the midline. Additionally, if [tex]a[/tex] is negative, the graph needs to be reflected over the x-axis and if [tex]b[/tex] is negative, the graph needs to be reflected over the y-axis. Knowing this, all we need to do is plug in the amplitude, period, phase shift, and midline to the equation. The equation is [tex]y=2\sin(2x)[/tex]
Hope this helps :)
a land mass is roughly in the shape of a rectangle whose perimeter is 1200 miles the width is 120 miles less than the length find the length and the width
PLEASE HELP ASAP!!! IM STUCK ON THIS
Answer:
Length: 360. Width: 240.
Step-by-step explanation:
360 * 2 = 720
240 * 2 = 480
720 + 480 = 1,200
find the value of x in the diagram
Answer: there is something off screen i cant see so i cant help you 183- what?
Step-by-step explanation:
15+45+6+834+32453+853=
Answer: Your solution is 34206
Hope this helps you!!!!
What is the surface area of this rectangular prism?
198 in²
312 in²
396 in²
504 in²
rectangular prism with length labeled 7 inches, width labeled 6 inches, and height labeled 12 inches
Answer:
it's 396
Step-by-step explanation:
I took the k-12 quiz math Surface Area quiz
What is the quotient if 2/4 of 40 is divided by 4/5 of 5/7?
Answer:
2/4 * 40 4/5 * 5/7 = 102/
7
= 14 4/
7
≅ 14.5714286
Step-by-step explanation:
To find a new numerator:
a) Multiply the whole number 40 by the denominator 5. Whole number 40 equally 40 * 5/
5
= 200/
5
b) Add the answer from previous step 200 to the numerator 4. New numerator is 200 + 4 = 204
c) Write a previous answer (new numerator 204) over the denominator 5.
Forty and four fifths is two hundred four fifths
Multiple: 2/
4
* 204/
5
= 2 · 204/
4 · 5
= 408/
20
= 102 · 4/
5 · 4
= 102/
5
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(408, 20) = 4. In the following intermediate step, cancel by a common factor of 4 gives 102/
5
.
In other words - two quarters multiplied by two hundred four fifths = one hundred two fifths.
Multiple: the result of step No. 2 * 5/
7
= 102/
5
* 5/
7
= 102 · 5/
5 · 7
= 510/
35
= 102 · 5/
7 · 5
= 102/
7
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(510, 35) = 5. In the following intermediate step, cancel by a common factor of 5 gives 102/
7
.
In other words - one hundred two fifths multiplied by five sevenths = one hundred two sevenths.
Find the area of the figure
Answer:
100 mm
Step-by-step explanation:
this right awnser
Answer:
Formula for area of circle (since two semi circles form a full circle);
a = π[tex]r^{2}[/tex]
First, figure out our radius,
D/2 = Radius
10/2 = 5 is our radius.
Plug in your values:
a = π[tex]r^{2}[/tex]
a = 3.14(5^5)
a = 3.14(25)
a = 78.5 is the area of the two semi circles.
Now the square;
A = L x W
A = 10(10)
A = 100.
Add your areas;
78.5 + 100
= 178.5 mm2
At the neighborhood grocery, 4.5 pounds of chicken breast cost $49.59. How much would it cost to buy 2 pounds of chicken breast?
SOLVE please I need it fast it’s for 20 points so please
Step-by-step explanation:
I hope its helped ?? huhuhu sorry if im wrong:)
What is 1/3 of 9/5 cookies?
Answer:
9/15 (0.6)
Step-by-step explanation:
(9/5) x(1/3)= 9/15
Answer:
32\15
Step-by-step explanation
Choose the correct graph of the function y=-1/2√x+3+2
Find y intercept
[tex]\\ \rm\rightarrowtail y=-\dfrac{1}{2}\sqrt{x+3}+2[/tex]
[tex]\\ \rm\rightarrowtail y=-\dfrac{1}{2}\sqrt{0+3}+2[/tex]
[tex]\\ \rm\rightarrowtail y=\dfrac{-\sqrt{3}}{2}+2[/tex]
[tex]\\ \rm\rightarrowtail y=\dfrac{4-\sqrt{3}}{2}[/tex]
[tex]\\ \rm\rightarrowtail y=\dfrac{4-1.732}{2}[/tex]
[tex]\\ \rm\rightarrowtail y=\dfrac{2.368}{2}[/tex]
[tex]\\ \rm\rightarrowtail y=1.184[/tex]
y intercept=(0,1.2)Option A
3
Andre sold 43 magazines at his mom's work, 32 at his dad's work, 18 around his
neighborhood, and 3 at home. What is the mean of the magazines he sold?
Answer:
The mean is 24 ( I think)
Step-by-step explanation:
SO in all, there were 96 magazines sold. So if there are just those 4 categories divide the 96 by 4. 96 divided by 4 = 24.
The mean of magazines he sold is 24
I = PRT
C = 2r A = r2
Answer: Calculate Total Amount Accrued (Principal + Interest), solve for A. A = P(1 + rt)
Calculate Principal Amount, solve for P. P = A / (1 + rt)
Calculate rate of interest in decimal, solve for r. r = (1/t)(A/P - 1)
Calculate rate of interest in percent. ...
Calculate time, solve for t
Step-by-step explanation:
b) The following patterns are made using small squares.
Pattern 1
Pattern 2
Pattern 3
Write an expression for the number of small squares in pattern n.
Write your answer in the form (n + a)? + b or an? + bn + C where a, b and care integers.
Answer:
(N+2)^2+6
Step-by-step explanation:
Solve: |x+2|=3
Can someone explain how to do this
Hey there!
ORIGINAL EQUATION:
|x + 2| = 3
TRANSLATE:
x + 2 = 3 or x + 2 = -3
SOLVING for: x + 2 = 3
SUBTRACT 2 to BOTH SIDES
x + 2 - 2 = 3 - 2
CANCEL out: 2 - 2 because it give you 1
KEEP: 3 - 2 because help solve for the current x-value
NEW EQUATION: x = 3 - 2
SIMPLIFY IT!
x = 1
Thus, your answer is: x = 2
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
SOLVING for: x + 2 = -3
SUBTRACT 2 to BOTH SIDES
x + 2 - 2 = -3 - 2
CANCEL out: 2 - 2 because it give you 0
KEEP: -3 - 2 because it help solve for the current x-value
NEW EQUATION: x = -3 - 2
SIMPLIFY IT!
x = -5
Thus, your answer is: x = -5
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
Therefore, your answer is: x = 1 or x = -5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
2. Evaluate the function rule for the given value. y = 4.2 for x = -6
Could someone help me with this?
Step-by-step explanation:
Identity the variable:
Initial Velocity is 35.
Initial Height is 204
Final Height is 0.
What looking for the time.
So we have
[tex]0 = - 16 {t}^{2} + (35)t + 204[/tex]
Use Quadratic Formula,
[tex] - b± \frac{ \sqrt{b {}^{2} - 4ac} }{2a} [/tex]
A is -16, B is 35 , C is 204.
So we have
[tex] - 35± \frac{ \sqrt{ {35}^{2} - 4( - 16)(204) } }{ - 32} [/tex]
[tex] - 35± \frac{ \sqrt{1225 + 2240} }{ - 32} [/tex]
[tex] - 35± \frac{ \sqrt{3465} }{ - 32} [/tex]
[tex]{35} ± \frac{ \sqrt{3465} }{ - 32} [/tex]
The positve solution is
[tex]4.83[/tex]
So the answer is 4.83 seconds
-7/3y-2/9=1/3 solve for y
Answer:
y = -12
Step-by-step explanation:
-7/3y - 2/9 = 1/3
cross multiple for 1/3:
-21/3y - 6/9 = 1
cross multiply for 3y and 9:
-21 - 6 = 3y + 9
3y + 9 = -27
3y = -36
y = -12
SOLVE ASAP PLEASE Point theif = ban
Answer:
Given dimensions of room:
length = 12 ftwidth = 14 ftheight = 8 ftGiven cost of materials:
floor tiles = $4 per ft²wall & ceiling paint = $16 per 146 ft²Total square feet of floor = length × width
= 12 × 14
= 168 ft²
Total cost of flooring = $4 × 168
= $672.00
Total square feet to be painted = area of walls + area of ceiling
= 2(12 × 8) + 2(14 × 8) + (12 × 14)
= 584 ft²
Total cost of paint = (584 ÷ 146) × $16
= $64.00
Total cost to tile and paint the room = $672 + $64
= $736.00
6. In June, Clarissa used 1 gigabytes
of data on her cell phone. Given that
June has 30 days, how much data did
she use on average per day?
Answer:
33.33 megabytes per day on average.
Step-by-step explanation:
When 58,511 is divided by 21, the quotient is 2,786 R ___.
Numerical Answers Expected!
Answer for Blank
If you take the answer, 2786 and multiple by 21
You get 58,506
Which if you subtract from 58,511 you would get 5
Which is r
!!20 POINTS!!
Find the value of X. Round to the nearest tenth
Find the domain of
[tex]y = \frac{1}{(1 - \sin(x) } [/tex]
Let's see
Denominator must not be equal to zero or the function becomes undefined[tex]\\ \rm\rightarrowtail 1-sinx\neq 0[/tex]
[tex]\\ \rm\rightarrowtail sinx\neq 1[/tex]
[tex]\\ \rm\rightarrowtail x\neq \dfrac{n\pi}{2}[/tex]
So
[tex]\\ \rm\rightarrowtail Domain\in R-\left\{\dfrac{n\pi}{2}\right\}[/tex]
Find the perimeter and area of the following triangle.
Answer:
perimeter=21 area=12
Step-by-step explanation:
perimeter- 5+6+10=21
area- b x h x 1/2
6x4/2
24/2
12
A cube has a side length of 5 centimeters. What is its surface area of the cube?
Answer:
A = 150cm²
Step-by-step explanation:
A=6a2=6·52=150cm²
Consider the polynomial function g(x) = 8x5 + ax4 + 5x + 20, where a is an unknown real number. If (x+4) is a factor of g(x), what is the value of a?
[tex]g(x) =8x^5 + ax^4 +5x +20 \\\\\text{If}~ x +4 ~ \text{is a factor of g(x) then,}~ \\\\g(-4)=0\\\\\implies 8(-4)^5 +a(-4)^4+5(-4) +20 = 0\\\\\implies 256a -8192 = 0\\\\\implies a = \dfrac{8192}{256} = 32[/tex]
5th root of 0.06
please I need fast only answer
Chicago is home to 2.706 million people and the city sees approximately 55 million visitors each year. China has a population of 1.393 billion. If their visitors were proportional to Chicago, how many visitors could China expect? Write your answer in scientific notation rounded to two decimal places. Provide your answer below: x 10^ visitors
China could expect a quantity of visitors of 8.512 × 10⁶ in Chicago.
How to apply direct proportions
A direct proportion is a direct relationship between two variables, which in this case is represented between the quantity of tourists in the city of Chicago and the population of the country of origin.
Let suppose the existence of direct proportionality and world has a population of 9000 million people, the quantity of Chinese visitors in the city of Chicago is determined by the following formula:
x = (1.393 × 10⁹ / 9 × 10⁹) × 55 × 10⁶
x = 8.512 × 10⁶
China could expect a quantity of visitors of 8.512 × 10⁶ in Chicago. [tex]\blacksquare[/tex]
To learn more on direct proportions, we kindly invite to check this verified question: https://brainly.com/question/14389660
help me please, need answer quick
Answer:
Option D is correct
The answer is 42 square unit.
Step-by-step explanation:
Given;a = 9 unitsb = 12 unitsh = 4 unitsTo Find;Area of TrapezoidFormula;Area = ½ (a + b) × hNow,
A = ½ (a + b) × h
A = ½ (9 + 12) × 4
A = (21) × 2
A = 42 square unit
Thus, The estimated area of the Trapezoid is 42 square unit.
-TheUnknownScientist 72
The zoo has 14 penguins. There are 6 more penguins than lions. How many lions are at the zoo?
Answer:
8 lions
Step-by-step explanation:
We need to subtract!!
14 - 6 = 8
Have an amazing day!!
Please rate and mark brainliest!!
Step-by-step explanation:
let the number of penguins be X and the number of lions be Y. then X=14 and since there are more penguins than lions the equation will be X=Y+6
Substitute 14 instead of X. 14=Y+6
and now shift 6 to the left 14-6=Y
then the answer should be 8lions