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fencingepee
@fencingepee
October 2021
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Ребята, помогите решить пожалуйста!
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sedinalana
Verified answer
1
1)f(x)=2x²+x
F(x)=2x³/3+x²/2+C
1=2/3+1/2+C
C=1-7/6=-1/6
F(x)=2x³/3+x²/2-1/6
2)f(x)=3x²-5
F(x)=x³-5x+C
3=-1+5+C
C=3-4=-1
F(x)=x³-5x-1
2
1a)2x³/3+3x|1-0=2/3+3=3 2/3
1b)-1/2*cos2x|π-(-π)=-1/2cosπ+1/2cos(-π)=1/2+1/2=1
2a)x³-x²/2|1-0=1-1/2=1/2
2b)2sin(x/2)|π-(-π)=2sinπ/2-2sin(-π/2)=2+2=4
3
1)x(t)=2t³+1/2*t²-1
v(t)=6t²+t
v(1)=6+1=7
a(t)=12t+1
a(1)=12+1=13
2)x(t)=4/3*t³-3t²+2t
v(t)=4t²-6t+2
v(1)=4-6+2=0
a(t)=8t-6
a(1)=8-6=2
4
1)f(x)=x³-3x
f(-1)=-1+3=2
f`(x)=3x²-3
f`(-1)=3-3=0
y=2-касательная
S=S(2-x³+3x)dx=2x-x^4/4+3x²/2|0-(-1)=2+1/4-3/2=3/4
2)f(x)=3x²-x³
f(2)=12-8=4
f`(x)=6x-3x²
f`(2)=12-12=0
y=4 касательная
S=S(4-3x²+x³)dx=4x-x³+x^4/4|4-0=16-64+64=16
2 votes
Thanks 1
fencingepee
Огромное спасибо, выручили.
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Answers & Comments
Verified answer
11)f(x)=2x²+x
F(x)=2x³/3+x²/2+C
1=2/3+1/2+C
C=1-7/6=-1/6
F(x)=2x³/3+x²/2-1/6
2)f(x)=3x²-5
F(x)=x³-5x+C
3=-1+5+C
C=3-4=-1
F(x)=x³-5x-1
2
1a)2x³/3+3x|1-0=2/3+3=3 2/3
1b)-1/2*cos2x|π-(-π)=-1/2cosπ+1/2cos(-π)=1/2+1/2=1
2a)x³-x²/2|1-0=1-1/2=1/2
2b)2sin(x/2)|π-(-π)=2sinπ/2-2sin(-π/2)=2+2=4
3
1)x(t)=2t³+1/2*t²-1
v(t)=6t²+t
v(1)=6+1=7
a(t)=12t+1
a(1)=12+1=13
2)x(t)=4/3*t³-3t²+2t
v(t)=4t²-6t+2
v(1)=4-6+2=0
a(t)=8t-6
a(1)=8-6=2
4
1)f(x)=x³-3x
f(-1)=-1+3=2
f`(x)=3x²-3
f`(-1)=3-3=0
y=2-касательная
S=S(2-x³+3x)dx=2x-x^4/4+3x²/2|0-(-1)=2+1/4-3/2=3/4
2)f(x)=3x²-x³
f(2)=12-8=4
f`(x)=6x-3x²
f`(2)=12-12=0
y=4 касательная
S=S(4-3x²+x³)dx=4x-x³+x^4/4|4-0=16-64+64=16