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ZanzabumX [31]
4 years ago
11

Attention!

Mathematics
2 answers:
Bezzdna [24]4 years ago
8 0

Answer:

ok

Step-by-step explanation:

ok

Nostrana [21]4 years ago
8 0

Answer:

I will try but how many are there?

Step-by-step explanation:

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Integral of 5xsqrt1-x^4
laila [671]
\displaystyle\int5x\sqrt{1-x^4}\,\mathrm dx

Take x=\sqrt y, so that y^2=x^4 and \dfrac{\mathrm dy}{2\sqrt y}=\mathrm dx. Note that this assumes x\ge0 and so requires y\ge0.

\displaystyle5\int\sqrt y\sqrt{1-y^2}\dfrac{\mathrm dy}{2\sqrt y}=\frac52\int\sqrt{1-y^2}\,\mathrm dy

Now take y=\sin z, so that z=\arcsin y. Note that for this invertibility condition to hold, we require that -\dfrac\pi2\le z\le\dfrac\pi2, which means -1\le y\le1. But since we already fixed y\ge0 with the previous substitution, we thus have 0\le y\le1, which in turn restricts us to 0\le z\le\dfrac\pi2. So with this substitution, we have \mathrm dy=\cos z\,\mathrm dz, which gives

\displaystyle\frac52\int\sqrt{1-\sin^2z}\cos z\,\mathrm dz
=\displaystyle\frac52\int\sqrt{\cos^2z}\cos z\,\mathrm dz
=\displaystyle\frac52\int|\cos z|\cos z\,\mathrm dz

Now over the interval 0, we have \cos z>0, which means |\cos z|=\cos z, and so the integral is equivalent to

\displaystyle\frac52\int\cos^2z\,\mathrm dz=\frac54\int(1+\cos2z)\,\mathrm dz
=\dfrac54z+\dfrac58\sin2z+C
=\dfrac54z+\dfrac54\sin z\cos z+C
=\dfrac54\arcsin y+\dfrac54\sin(\arcsin y)\cos(\arcsin y)+C
=\dfrac54\arcsin y+\dfrac54y\sqrt{1-y^2}+C
=\dfrac54\arcsin(x^2)+\dfrac54x^2\sqrt{1-x^4}+C
8 0
3 years ago
Subtract. Write your answer in simplest form.<br><br> 5 1/2- 1 2/7
astraxan [27]

Answer:

5 1/2- 1 2/7

11/2-9/7

(11×7-9×2)/14

59/14

4 3/14

7 0
3 years ago
Name four angles whose tangent equals 0.
Natasha2012 [34]
If tan α = 0
α = tan^(-1) 0 
α = k π ,  k ∈ Z ( any integer ),  π = 180°
0 · 180° = 0
1 · 180° = 180°
2 · 180° = 360°
3 · 180° = 540°
Answer:
Angles are: 0°, 180°, 360°, 540°.
3 0
4 years ago
Read 2 more answers
A quadrilateral has four sides. Identify P and Q in the definition.
PSYCHO15rus [73]
Don't understand what you're are asking?

3 0
4 years ago
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Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. 4/3 divided 7/4
AleksandrR [38]

Answer:

so we have 4/3 divided by 7/4

= 4/3 * 4/7

= 4*4/3*7

= 16/21

Step-by-step explanation:

answer from gauth math

6 0
3 years ago
Read 2 more answers
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