Answer:
Step-by-step explanation:
Answer:
1 + 1 + 2 + 2 + 3 + 3 + 4 + 4 + 5 + 5 + 6 + 6 + 7 + 7 + 8 + 8 + 9 + 9 + 10 + 10 - 90 = 20
Step-by-step explanation:
Answer:
Two complex roots.
Step-by-step explanation:
F(x)=2x^4 +5x^3 - x^2 +6x-1
is a polynomial in x of degree 4.
Hence F(x) has 4 roots. There can be 0 or 2 or 4 complex roots to this polynomial since complex roots occur in conjugate pairs.
Use remainder theorem to find the roots of the polynomial.
F(0) = -1 and F(1) = 2+5-1+6-1 = 11>0
There is a change of sign in F from 0 to 1
Thus there is a real root between 0 and 1.
Similarly by trial and error let us find other real root.
F(-3) = -1 and F(-4) = 94
SInce there is a change of sign, from -4 to -3 there exists a real root between -3 and -4.
Other two roots are complex roots since no other place F changes its sign
A = area of triangle + area of rectangular + half of the circle area
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triangle area = 1/2 × base × height
triangle area = 1/2 × 3 × 5 = 15/2 = 7.50
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rectangular area = length × width
rectangular area = 6 × 5 = 30
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circle half area = 1/2 × pi × radius^2
circle half area = 1/2 × 3.14 × 3^2
circle half area = 1.57 × 9
circle half area = 14.13
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A = 7.50 + 30 + 14.13
A = 51.63 m^2
