Answer:
[tex]f_{x}(x,t) = -\pi e^{-9t} \sin{(\pi x)}[/tex]
[tex]f_{t}(x,t) = -9\cos{(\pi x)} e^{-9t}[/tex]
Step-by-step explanation:
We are given the following function:
[tex]f(x,t) = e^{-9t} \cos{(\pi x)}[/tex]
First derivatives:
We find the first derivatives in function of x and of t.
Function of x:
The exponential is only a function of t, so it is treated as a constant.
[tex]f_{x}(x,t) = e^{-9t} \frac{d}{dx](\cos{(\pi x)}) = -e^{-9t} \sin{(\pi x)} \frac{d}{dx}(\pi x) = -\pi e^{-9t} \sin{(\pi x)}[/tex]
Function of t:
Same logic as above, the cosine as treated as a constant.
[tex]f_{t}(x,t) = \cos{(\pi x)} \frac{d}{dt}(e^{-9t}) = \cos{(\pi x)} e^{-9t} \frac{d}{dt}(-9t) = -9\cos{(\pi x)} e^{-9t}[/tex]
4 divided by the sum of h and 7 using fraction
Answer:
4/5+7
or
4
_____
h+7
what is the length of x
Answer:
20
Step-by-step explanation:
each of the side lengths are multiplied by 2.5
PLEASE HELP Find the slope and equation of the tangent to each of the following curves at the given point:
Answer:
Step-by-step explanation:
To find the slope of the tangent at a point we will find the derivative of equation at that point.
a). y = x² - 10x
[tex]\frac{dy}{dx}=\frac{d}{dx}(x^{2} -10x)[/tex]
y' = 2x - 10
At (x = 2),
y' = 2(2) - 10
y' = 4 - 10
y' = -6
From the given equation,
y = 2² - 10
y = -6
Therefore, y-coordinate of the point is y = -6
Equation of the tangent at (2, -6) having slope = -6
y - 2 = -6(x - 2)
y - 2 = -6x + 12
y = -6x + 14
b). y = [tex]x^{2}+\frac{2}{x}[/tex]
At x = [tex]\frac{1}{2}[/tex]
y = [tex](\frac{1}{2})^2+\frac{2}{\frac{1}{2}}[/tex]
y = [tex]\frac{1}{4}+4[/tex]
y = [tex]\frac{17}{4}[/tex]
Now we have to find the equation of a tangent at [tex](\frac{1}{2},\frac{17}{4})[/tex]
y' = 2x - [tex]\frac{2}{x^{2} }[/tex]
At x = [tex]\frac{1}{2}[/tex]
y' = [tex]2(\frac{1}{2})-\frac{2}{(\frac{1}{2})^2}[/tex]
y' = 1 - 8
y' = -7
Therefore, equation of the tangent at [tex](\frac{1}{2},\frac{17}{4})[/tex] will be,
[tex]y-\frac{17}{4}=-7(x-\frac{1}{2})[/tex]
y = -7x + [tex]\frac{7}{2}+\frac{17}{4}[/tex]
y = -7x + [tex]\frac{31}{4}[/tex]
Can you please help I am getting graded:) show work too please
Answer: A - 33/100
Step-by-step explanation:
You have to multiply the first fraction by 10 to make 100 the least common denominator - 3/10(10) = 30/100
Add 30/100+3/100 = 33/100
Anise wants to have longer hair than her sister. Her sister's hair is 2.25 feet long. How long does Anise's hair have to
Answer:
b.
Step-by-step explanation:
help find the area I’ll give Brainly
Ok let's do this.
First we will cut of the triangle that is marked with red dotted line and pop it on the other side. Then you get a rectangle!! All you have to do now is multiply 21.5*20=410. HAPPY TO HELP!
Answer:
430
Step-by-step explanation:
Area = (base)(height)
A = (20)(21.5)
(20)(21.5) = 430
A = 430
Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.
A right triangle with hypotenuse labeled 11 and one leg labeled x. The angle between the leg labeled x and the hypotenuse is equal to 22 degrees.---in the picture below.
Answer:
10.2
Step-by-step explanation:
Answer:
10.2
Step-by-step explanation:
cos = adj/hyp
cos22 = x/11
11 cos22 = 10.199
Which expression is equivalent to d-6d-3dd−6d−3d?
From the given expression in our example we have say
y = d-6d-3dd−6d−3d,
the equivalent expression would be y = -14-3dd
We can see two different terms
the "d" terms and the "dd" terms
Let us collect like terms
we have
y= d-6d-6d-3d-3dd
y = d-12d-3d-3dd
y= d-15d-3dd
y = -14-3dd
Hence the equivalent expression is y = -14-3dd
Learn more amount collecting like terms in algebraic expression https://brainly.com/question/11172004
Answer:
-8d
guessed and it was right :P
3. Mateus recebe a visita do seu avô Pedro a cada 15 dias. João, o tio dele, o visita a cada 100
e, devido a escalas de trabalho, a cada 12 dias Mateus vai à praia com seus pais. Um belo dia Mans
recebeu a visita do seu avô, do seu tio e foi à praia com seus pais (com o avô e o tio que o visitavam nese
dia). Quantos dias depois este acontecimento se repetirà?
Answer:
Este acontecimento se repetirá 300 dias depois.
Step-by-step explanation:
Quando os eventos se repetirão no mesmo dia?
Cada evento tem uma frequência.
Eles ocorrem simultaneamente a cada x dias, e x é dado pelo MMC(Mínimo Múltiplico Comum) entre as frequência.
Neste problema:
A cada 15 dias o avô visita.
A cada 100 dias o tio visita.
A cada 12 dias vai à praia.
Quantos dias depois este acontecimento se repetirá?
Os três no mesmo dia vão se repetir após x dias, em que x é dado pelo MMC de 15, 100 e 12
MMC de 15, 100 e 12
Fatorando simultâneamente estes valores:
15 - 100 - 12|2
15 - 50 - 6|2
15 - 25 - 3|3
5 - 25 - 1|5
1 - 5 - 1|5
1 - 1 - 1
Então:
mmc(15,100,12) = 2*2*3*5*5 = 300
Este acontecimento se repetirá 300 dias depois.
Determine whether each triangle below will form a unique triangle, no triangle, or more than one triangle based on the criterion given.
Part A:
A triangle with 5 cm and 7 cm side lengths and an included 50∘ angle will form
.
Part B:
A triangle with side lengths 3 inches, 2 inches, and 1 inch will form
.
Part C:
A triangle with angle measures of 72°, 24°, and 84∘ will form
9514 1404 393
Answer:
A: a unique triangle
B: no triangle
C: more than one triangle
Step-by-step explanation:
A: Two sides and the included angle are sufficient to completely specify one triangle. (See the first attachment.)
__
B: The given side lengths do not satisfy the triangle inequality. No triangle can be formed. (See the second attachment.)
__
C: The angles total 180°, so a triangle can be formed with those angles. However, the side lengths are not specified, so any number of triangles can be made with those angles.
Answer:
A. a unique triangle
B. no triangle
C. more than one triangle
How do I identify Outliers
the volume of a rectangular prism is 504 in cube. If the area of the bask is 56 in cube, find its height.
Answer: 9
Step-by-step explanation:
What’s the answer to this?
Answer:
B is the answer
Step-by-step explanation:
Find the total amount of interest earned on this savings account.
Time: 7 years
Interest Rate: 2.5%
Principal: $4,556
Interest:
$79.73
$797.30
$7,973
$79,730
Answer:
$797.3
Step-by-step explanation:
4556 x 0.025 x 7 = $797.3
PLS ANSWER ITS URGENT
Suppose a new regulation states that the maximum angle of a ramp for wheelchairs is 9º. At least how
long must the new ramp be? Round to the nearest tenth of a foot.
Answer:
The length of the ramp must be at least 14.71 feet
Step-by-step explanation:
Given
[tex]BC = 2.3ft[/tex]
[tex]\theta = 9^\circ[/tex]
See attachment for complete figure
Required
Length of the ramp (z)
To do this, we consider sin of angle A ([tex]\theta[/tex]).
So, we have:
[tex]sin\theta = \frac{Opposite}{Hypotenuse}[/tex]
This gives:
[tex]sin(9)= \frac{2.3}{z}[/tex]
Make z the subject
[tex]z= \frac{2.3}{sin(9)}[/tex]
[tex]z = \frac{2.3}{0.1564}[/tex]
[tex]z = 14.71 ft[/tex]
The length of the ramp must be at least 14.71 feet
A state university locks in costs for a student once a student starts attending the university. The total cost is $23,500. A student has
the following help in covering the costs of school.
• An academic scholarship of $8,200.
• Other scholarships and grants of $7.400.
Grandparents pay $1,000
.
What is the amount that the student will need to save every month in order to pay off the remaining costs in 10 months ?
$690
S820
S1 660
$2 350
Answer:
720
Step-by-step explanation:
24500 (total) subtracted by (10,700 + 5000 + 1600) =7200. 7200 divide by 10 mo=720
If the student will need to save every month in order to pay off the remaining costs in 10 months, the amount she will need to save per month is $690
Amount and interestGiven the following information from the question
The total cost of fee = $23,500
Amount got as help;
An academic scholarship of $8,200.
Other scholarships and grants of $7.400.
Grandparents pay $1,000
Amunt she had = 8200 + 7400 + 1000
Amount she had = $16600
Amount remaining = 23500 - 16600
Amount remaining = $6900
If the student will need to save every month in order to pay off the remaining costs in 10 months, the amount she will need to save per month is $690
Learn more on the amount here:
https://brainly.com/question/25109150
What is the relationship between angles 1, 2, and 6?
A. they are vertical
B. they are supplementary
C. they are complementary
Answer:
B) they are supplementary
(supplementary angles add up to a80 degrees)
Step-by-step explanation:
What is the 3rd term of the linear sequence below?7,9,11,13,15,...
Answer:
11
Step-by-step explanation:
3 points
2. Faith was selling her old math book online. The book originally cost her
$150. Based on her research, she can sell the book for $67.50. What
percent of the original cost of the book can Faith earn back by selling her
book?
Answer:
45%
Step-by-step explanation:
I need help on this..... FAST. Think you can help me?
Answer:
.si sey el senocar 18
Step-by-step explanation:.basflone ne ombla
How do I solve this problem. 7a+2=3a+1
Answer:
a= - 1/4
Step-by-step explanation:
Answer:
- 1/4
Step-by-step explanation:
7a + 2 = 3a + 1
subtract the 1 from both sides
7a + 1 = 3a
subtract 7a from both sides
1 = - 4a
divide by - 4
A = - 1/4
Determine the measure of angle ECB.
Question 1 options:
1)
88.25°
2)
183.5°
3)
176.5°
4)
91.75°
Answer:
4) 91.75
Step-by-step explanation:
7x+20+9x-4=180
16x=164
x=10.25
7(10.25)+20=
71.75+20=91.75
Answer:
You are correct 91.75 is the answer
Step-by-step explanation:
This is a cyclic quadralterial since all the. vertices of the quadralterials touch the circle circumference. Opposite angles are supplementary in cyclic quadralterials. Angle C and Angle D are opposite angles so
[tex]7x + 20 + 9x - 4 = 180[/tex]
[tex]16x + 16 = 180[/tex]
[tex]16x = 164[/tex]
[tex]x = 10 \frac{4}{16} [/tex]
[tex]x = 10.25[/tex]
Plug 10.25 into 7x+20
[tex]7(10.25) + 20 = 91.75[/tex]
You are correct
hi can you guys help me with this pleaseee
Answer:
For the fractions question:
1/4<1/2
3/4<2/3
5/7<3/5
8/9>8/10
7/10<6/8
Hope this helps! (:
NEED HELP I SUCK AT GEOMETRY (OFFERING 100POINTS)!!! best answer get brainlest
Find the measure of angle C
show work and explain!
Answer:
Angle C = 45°
Step-by-step explanation:
Hello There!
If you didn't know opposite angles are congruent in parallelograms
So ∠A≅∠C and ∠B≅∠D
So if ∠A = 45° then ∠C also equals 45°
As it is a parallelogram
[tex]\\ \sf\longmapsto <B\cong <D[/tex]
[tex]\\ \sf\longmapsto <A\cong <C[/tex]
<A=45°[/tex][tex]\\ \sf\longmapsto <C=<A=45°[/tex]
Is there enough information to determine if the following triangles are similar? Justify your response.
Answer:
No.
Step-by-step explanation:
Triangle DFE justifies itself with the SAS (side-angle-side) postulate, while Triangle ABC simply shows that ∡B & A are similar. They are not justified by the same standard, and so there is no way to tell if these triangles are similar.
Which regular polygon would have each of its interior angles measure 140°?
octagon
nonagon
decagon
heptagon
9514 1404 393
Answer:
nonagon
Step-by-step explanation:
The adjacent exterior angle is 180° -140° = 40°. There are 360°/40° = 9 of those angles around the regular polygon, so it is 9-sided.
The polygon is a nonagon.
Answer:
nonagon
Step-by-step explanation:
i got 100%
If ST = 17 and RT = 61, find RS.
what is it??
Answer:
24
Step-by-step explanation:
What is the perimeter of triangle OJL?
A.24, B.23, C. 19, D.17
Answer: 24
Step-by-step explanation:
please help on this question!!!!!
Answer: 65
Step-by-step explanation:
2. Divide using the synthetic division.
--7| 1 8 -49 -392
Answer: goole
Step-by-step explanation:
49-392 +7/ 18