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Genrish500 [490]
3 years ago
12

PLZ HURRY IT'S URGENT!!

Mathematics
1 answer:
kap26 [50]3 years ago
7 0

Answer:

idk

Step-by-step explanation:

im sorryyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

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2 +2 - 6 + 8 and then 2
GREYUIT [131]

Step-by-step explanation:

2+2 = 4 - 6= -2+8=6+2=8

Answer: 8

7 0
2 years ago
Read 2 more answers
(a) Use the reduction formula to show that integral from 0 to pi/2 of sin(x)^ndx is (n-1)/n * integral from 0 to pi/2 of sin(x)^
Sedbober [7]
Hello,

a)
I= \int\limits^{ \frac{\pi}{2} }_0 {sin^n(x)} \, dx = \int\limits^{ \frac{\pi}{2} }_0 {sin(x)*sin^{n-1}(x)} \, dx \\

= [-cos(x)*sin^{n-1}(x)]_0^ \frac{\pi}{2}+(n-1)*\int\limits^{ \frac{\pi}{2} }_0 {cos(x)*sin^{n-2}(x)*cos(x)} \, dx \\

=0 + (n-1)*\int\limits^{ \frac{\pi}{2} }_0 {cos^2(x)*sin^{n-2}(x)} \, dx \\

= (n-1)*\int\limits^{ \frac{\pi}{2} }_0 {(1-sin^2(x))*sin^{n-2}(x)} \, dx \\
= (n-1)*\int\limits^{ \frac{\pi}{2} }_0 {sin^{n-2}(x)} \, dx - (n-1)*\int\limits^{ \frac{\pi}{2} }_0 {sin^n(x) \, dx\\


I(1+n-1)= (n-1)*\int\limits^{ \frac{\pi}{2} }_0 {sin^{n-2}(x)} \, dx \\
I= \dfrac{n-1}{n} *\int\limits^{ \frac{\pi}{2} }_0 {sin^{n-2}(x)} \, dx \\


b)
\int\limits^{ \frac{\pi}{2} }_0 {sin^{3}(x)} \, dx \\
= \frac{2}{3} \int\limits^{ \frac{\pi}{2} }_0 {sin(x)} \, dx \\
= \dfrac{2}{3}\ [-cos(x)]_0^{\frac{\pi}{2}}=\dfrac{2}{3} \\






\int\limits^{ \frac{\pi}{2} }_0 {sin^{5}(x)} \, dx \\
= \dfrac{4}{5}*\dfrac{2}{3} \int\limits^{ \frac{\pi}{2} }_0 {sin(x)} \, dx = \dfrac{8}{15}\\







c)

I_n=  \dfrac{n-1}{n} * I_{n-2} \\

I_{2n+1}=  \dfrac{2n+1-1}{2n+1} * I_{2n+1-2} \\
= \dfrac{2n}{2n+1} * I_{2n-1} \\
= \dfrac{(2n)*(2n-2)}{(2n+1)(2n-1)} * I_{2n-3} \\
= \dfrac{(2n)*(2n-2)*...*2}{(2n+1)(2n-1)*...*3} * I_{1} \\\\

I_1=1\\






3 0
3 years ago
Find x pleaseee :) :)
balu736 [363]

Answer:

it is 6

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Lucia surveyed the students in her class and made a dot plot of the results. What question could Lucia have asked?
kolezko [41]

Answer:

How many days do you exercise in a week?

Step-by-step explanation:

The topic is students' weekly exercise so the question has to be about that. also, there are up to 7 days worth of data and there a 7 days in a week. so she most likely asked the question, "How many days do you exercise in a week?".

4 0
3 years ago
Teru burned about 1,000 calories downhill skiing before lunch. If she plans to ski
Fudgin [204]

Answer:

3.3333 hours

Step-by-step explanation:

From the attached table :

Downhill skiing for 1/6 hours ; results in 100 calories burn

To burn 1000 calories :

Skiing hours required :

(1000 / 100) * (1/6)

10 * 1/6 = 10 /6 hours

Planned skiing hours = 5

Number of skiing hours after lunch will be :

5 hours - 10/6 hours

5 hours - 1.6666 hours

= 3.3333 hours

4 0
2 years ago
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