combining functions If f(x)=x²-3x+2 and g(x)=4-3x find the following functions f+g
1. combining functions If f(x)=x²-3x+2 and g(x)=4-3x find the following functions f+g
Jawab:
Penjelasan dengan langkah-langkah:
[tex]f(x)=x^2-3x+2\\\\g(x)=4-3x\\\\\\(f+g)(x)\\\\=x^2-3x+2+4-3x\\\\=x^2-6x+6[/tex]
2. Suppose the functions f(x) and g(x) are defineded for all x and that limx->0 f(x) = 1/2 and limx->0 g(x) = √2. Find the limits as x -> 0 of -g(x)!
Diketahui :
[tex] \lim\limits_{x \rightarrow 0} g(x) = \sqrt{2} [/tex]
Ditanya :
[tex] \lim\limits_{x \rightarrow 0} -g(x) [/tex]
[tex] = - \lim\limits_{x \rightarrow 0} g(x) [/tex]
[tex] = - \sqrt{2} [/tex]
Semoga bisa membantu.
3. two consecutive even numbers are such that the sum of their squares is 146. Find the two numbers
Jawaban:
dua bilangan genap berurutan sehingga jumlah kuadratnya adalah 146. Tentukan kedua bilangan tersebut
Penjelasan dengan langkah-langkah:
x+(x+2)= 146
2x = 144
x = 72
bilangan genap terbesar = x+2
= 72 +2 = 74
4. tanggapan so and such that
1. So
Ex. That girl is SO beautiful.
2. Such that?
as an english speaker, saya gak pernah denger dan gak pernah memakai "such that"
5. find the first and second derivatives of the functions in exercises....
Jawab:
Penjelasan dengan langkah-langkah:
[tex]p = \frac{(q^2 + 3)}{12q} \frac{(q^4 -1)}{q^3}[/tex]
[tex]p = \frac{(q^6 + 3q^4-q^2-3)}{12q^4}[/tex]
untuk mendapatkan turunan pertama dan kedua gunakan persamaan berikut
[tex]f'(q) = \frac{u'v - uv' }{v^2}[/tex]
Turunan Pertama (first derivative)
[tex]f'(q) = \frac{q^6+q^2+6}{6q^5}[/tex]
Turunan kedua (second derivative)
didapat dari menurunkan pers. [tex]f'(q) = \frac{q^6+q^2+6}{6q^5}[/tex]
[tex]f''(q) = \frac{q^6-3q^2-30}{6q^6}[/tex]
6. Combine the two following sentences using so that and such that " painting is interesting"
using so : that painting is so interesting
using such: that is such an interesting painting
7. Dialogue so that and such that
Dialog sehingga dan seperti itu
8. The function is such that f(x) = a + b cos x for 0 <= x <= 2π It is given that f(1/3 π) = 5 and f (π) = 11 Find the values of the constants a and b.
f(x) = a + b cos x ; 0 ≤ x ≤ 2π
f(π/3) = 5
a + b cos π/3 = 5
a + b(½) = 5
a + ½b = 5
2a + b = 10 ... (1)
f(π) = 11
a + b cos π = 11
a + b(-1) = 11
a - b = 11 ... (2)
(1) dan (2)
2a + b = 10
a - b = 11
-------------- +
3a = 21
a = 7
7 - b = 11
-b = 11 - 7
-b = 4
b = -4
9. find out 5 things at your home and write down their functions
pan - cook a food
bed - fo sleep
cupboard - keep a clothes
table - put everythings
glass - for to drinkbed for sleeping
phone for playing a game
bicycle for take me go to school
plate for eat
and broom for sweep
10. Buat dialogue such… that and so…. That
Jawaban:
1. She is such a great women
2. that was a terrible night
3. they're was bad to her so she leave them
11. The functions f and are
Jawaban:
To determine the first derivative of the function f (x) = (4x2−12x) (x + 2), we can work with two alternatives
First use the rule f (x) = u⋅v then f ′ (x) = u′⋅v + u⋅v ′
f(x) =(4x2−12x)(x+2)
u =4x2−12x→u′=8x−12
v = 4x2−12x→u′=8x−12
f′(x) =u′⋅v+u⋅v′ =(8x−12)(x+2)+(4x2−12x)(1) =8x2+16x−12x−24+4x2−12x =12x2−8x−24
Second, by simplifying the function to addition and subtraction.
f(x) =(4x2−12x)(x+2) =4x3+8x2−12x2−24x =4x3−4x2−24x
f′(x) =3⋅4x3−1−2⋅4x2−1−24 =12x2−8x−24
12. Find three consecutive odd integers such that the sum of the first, two times of the second, and three times of the third is 70.
Jawab:
PenjelasanTemukan tiga bilangan bulat ganjil yang berurutan sehingga jumlah dari yang pertama, dua kali yang kedua, dan tiga kali yang ketiga adalah 70. dengan langkah-langkah:
MAAF HANYA INI SAJA YANG BISA SAYA BANTU:)
13. Find the domain and range of the function f(x,y) = ln(9-x²-9y²) such that f well defined
9-x²-9y²>0
9y²<9-x²
/// 9-x²>0. (1)
-3< x<3
9-9y²>x²///9-9y²>0. (2)
9y²<9
y²<1
-1<y<1
14. Find all the angles between -360° and 180° such that sin x =1/2
Jawaban:
rate yaa
Penjelasan dengan langkah-langkah:
sinx =1/2
sin60=sin120=1/2
karena 360 itu searah jarum jam
maka
sin-360+30=sin-360+150=1/2
sin-330=sin-210=1/2
maka
sudutnya adalah ={-330,-210,60,120}
15. change into so that and such that
Jawaban:
1. Jokowi is very humble, so that he is liked by most of Indonesian people.
2. John and Mery are very smart. Such that they always get 100 in every test
3. Sister Leoni is very cheerful. Such that she smiles to everyone she meets.
4. Mrs. Emma Gamas and Ms. Clara are very amicable so that they are liked by students.
16. Find the definition, functions and generic structure of recount text!
Jawaban:
Text
Penjelasan:
Maaf kalau salah yaa
17. Find the smallest value of such that the LCM of n and 54 is 108.
Jawaban:
54 = 2 × 3³
108 = 2² × 3³
LCM = 2² × 3³ = 108
18. contoh kalimat such that and so that
Jawaban:
Andita is such a beautiful girl that almost every boy is interested in her.
(Andita adalah gadis yang sangat cantik sehingga hampir semua anak laki-laki tertarik padanya)
So that my opinion about the film I've watched last week
(Jadi itu adalah opini Saya tentang film yang Saya tonton minggu lalu)
#Backtoschool2019
Many Linda of instant foods are not good for your health.They container dangerous chemical,like MSG, Preservatives,and artificial colours.we should not eat too much instants foods *SO THAT* we Will not get serius disease.
19. dialog so that and such that
Kelas: SMA
Pelajaran: English
Kategori: connectors
Pembahasan:
Here's the dialogue
Gavin: Hey, mate, did you see any EPL matches last weekend?
Oleg: Yes, some games were awesome.
G: True, mate, Arsenal match was my favourite. It was so exciting that I recorded.
O: Whoa, really?
G: Yeah, mate, I mean, this is the team I've longed to see. What's more, Leicester did well too actually.
O: You're right. Lacazette did so well that he only needed a few minute after kick-off to score his first English Premiere League goal.
G: Absolutely, but I'd say Leicester's Jamie Vardy was slightly better. He had such a great pace that Arsenal defenders could barely keep up with him.
O: Yup, too bad, they lost despite his two goals.
G: So, what's your favourite game?
O: oh, Chelsea vs Burnley, they had such an unfortunate time that Conte's two players were sent off. They had to lose 2-3 in Stamford Bridge.
G: Yeah, very shocking, ain't it?
20. The functions [tex]f[/tex] and [tex]g[/tex] are defined by: [tex]f:x \rightarrow 2-x^{2},\;x \in R,\;x \leq a[/tex] and [tex]g:x \rightarrow \ln{(3-x)},\;x \in R,\;x\ \textless \ 3[/tex] (i) Find the largest value of a given that the inverse [tex]f^{-1}[/tex] exist and find [tex]f^{-1}[/tex] (ii) Show that [tex]g \circ f[/tex] exist and find [tex]g \circ f[/tex]
Penjelasan dengan langkah-langkah:
dilampirkan.. maaf jika kurang jelas :)
CMIIW
Mapel:Matematika
Kelas:11
Materi:Fungsi
Penjelasan dengan langkah-langkah:
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