Помогите пожалуйста с заданиями под номерами 5.. Created by nastyagrabnfr. algebra-ru

1)2) ОДЗ:{x+y>0;{x-y>0.log₅(x+y)+log₅(x-y)=log₅(x+y)(x-y){3(x+y)=15{log₅(x+y)(x-y)=1{x+y=5{log₅(x+y)(x-y)=log₅5{x+y=5{(x+y)(x-y)=5{x+y=5{5(x-y)=5{x+y=5{x-y=1Cкладываем2х=6x=3y=5-x=5-3=2(3;2) удовлетворяет ОДЗО т в е т. (3;2)2) ОДЗ:{x-y>0;{x+y>0log₅(x+y)=log₃(x-y)+3{16(x-y)=48{log₃(x+y)=log₃27(x-y){x-y=3{x+y=27(x-y){x-y=3{x+y=27\cdot 3{x-y=3{x+y=81Cкладываем2х=84x=42y=81-x=81-42=39(42;39) удовлетворяет ОДЗО т в е т. (42;39)только задания под номерами 5еще второе под пятымна втором фото= 8*1/2∫sin2xd2x Новые вопросы в Алгебрапомогите пожалуйста решить методом сложения.8cosZcos(60-z)cos(60+z)+1=08cosZcos(60-z)cos(60+z)+1=0помогите решить методом сложения.помогите пожалуйста решить методом сложения Помогите решить. х=-1 у=5 то 2х+9у-7Помогите решить. х=-1 у=5 то 2х+9у-7Помогите решить. х÷х+9=14ПЛС М+ПОМОГИТЕ, ДАМС КОРОНУ И МНОГО 30 БАЛЛОВ(Нужно объяснение)557,559 номера. Если возможно,с решением ПредыдущийСледующийВместе мы знаем большеЭтот сайт использует cookies Политика Cookies . 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Помогите пожалуйста с заданиями под номерами 5...

nastyagrabnfr @nastyagrabnfr

August 2022 1 11 Report

Помогите пожалуйста с заданиями под номерами 5.

Answers & Comments

nafanya2014

Verified answer

1)
$\int\limits^{ \frac{ \pi }{2} }_0 {8sin2x} \, dx=8 \int\limits^{ \frac{ \pi }{2} }_0 {sin2x} \, d(x) =8 \cdot{ \frac{1}{2} }\int\limits^{ \frac{ \pi }{2} }_0 {sin2x} \, d(2x) = \\ \\ =4\cdot (-cos2x)|^{ \frac{ \pi }{2} }_0=4\cdot (-cos \pi +cos0)=4\cdot(1+1)=8$

2) ОДЗ:
{x+y>0;
{x-y>0.

$3^{1+log_{3}(x+y)}=3\cdot 3^{log_{3}(x+y)}=3\cdot(x+y)$

log₅(x+y)+log₅(x-y)=log₅(x+y)(x-y)

{3(x+y)=15
{log₅(x+y)(x-y)=1

{x+y=5
{log₅(x+y)(x-y)=log₅5

{x+y=5
{(x+y)(x-y)=5

{x+y=5
{5(x-y)=5

{x+y=5
{x-y=1

Cкладываем
2х=6
x=3

y=5-x=5-3=2
(3;2) удовлетворяет ОДЗ
О т в е т. (3;2)

2)
ОДЗ:
{x-y>0;
{x+y>0

$4^{log_{4}(x-y)+2}=4^{log_{4}(x-y)}\cdot 4^2 =16\cdot(x-y)$

log₅(x+y)=log₃(x-y)+3

{16(x-y)=48
{log₃(x+y)=log₃27(x-y)

{x-y=3
{x+y=27(x-y)

{x-y=3
{x+y=27\cdot 3

{x-y=3
{x+y=81

Cкладываем
2х=84
x=42

y=81-x=81-42=39
(42;39) удовлетворяет ОДЗ
О т в е т. (42;39)