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max5244
@max5244
July 2022
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zarembo73
1. a) y'=(x^5-3x³+x²-1)'=5x^4-9x²+2x;
б)
в)
г)
2. y'=(sin3x-cos3x)'=3cos3x+3sin3x=3(cos3x+sin3x);
y'(3π/4)=3(cos(3*3π/4)+sin(3*3π/4))=3(cos9π/4+sin9π/4)=
=3(cos(2π+π/4)+sin(2π+π/4))=3(cosπ/4+sinπ/4)=3(√2/2+√2/2)=3*2√2/2=
=3*√2=3√2.
3. v=s'=(2+20t-5t²)=20-10t;
v(1)=20-10*1=20-10=10 (м/с).
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max5244
Спасибо большое
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Answers & Comments
б)
в)
г)
2. y'=(sin3x-cos3x)'=3cos3x+3sin3x=3(cos3x+sin3x);
y'(3π/4)=3(cos(3*3π/4)+sin(3*3π/4))=3(cos9π/4+sin9π/4)=
=3(cos(2π+π/4)+sin(2π+π/4))=3(cosπ/4+sinπ/4)=3(√2/2+√2/2)=3*2√2/2=
=3*√2=3√2.
3. v=s'=(2+20t-5t²)=20-10t;
v(1)=20-10*1=20-10=10 (м/с).