Practice China questions with answers and explanations.
By Vieta’s formula, the sum of the roots equals the coefficient 11.
f′(x)=15x²+10x. Substituting x=1 gives 25.
An antiderivative is 1/2 x²+5x. At x=2, the value is 12.0.
The dot product is 1×2+6×1=8.
Rewrite the value using base 2: 4 = 2^2. Matching exponents gives x = 2.
Choose an option to check your answer.
Use the circle-area formula A = πr². Substituting r = 2 gives A = π × 2² = 4π.
Rewrite the value using base 5: 3125 = 5^5. Matching exponents gives x = 5.
Choose an option to check your answer.
Use the circle-area formula A = πr². Substituting r = 9 gives A = π × 9² = 81π.
Percentage=(8/43)×100=18.60.
Subtract 9 from both sides and divide by 5: x = (24-9)/5 = 3.
By Vieta’s formula, the sum of the roots equals the coefficient 8.
aₙ=a₁+(n−1)d=8+(5−1)×1=12.
