Practice china-gaokao-mathematics questions with answers and explanations.
f′(x)=15x²+8x. Substituting x=2 gives 76.
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The sum is n(n+1)/2=15, so the mean is 15/5.
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There are 5 favourable outcomes out of 10 equally likely outcomes, so P(red)=5/10.
The coordinate differences are 3 and 4, so the distance is √(3²+4²)=5.
f′(x)=12x²+6x. Substituting x=1 gives 18.
An antiderivative is 1/2 x²+4x. At x=2, the value is 10.0.
The dot product is 1×4+5×3=19.
Rewrite the value using base 2: 4 = 2^2. Matching exponents gives x = 2.
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Use the circle-area formula A = πr². Substituting r = 2 gives A = π × 2² = 4π.
An antiderivative is 4/2 x²+3x. At x=5, the value is 65.0.
The dot product is 4×3+4×2=20.
Rewrite the value using base 5: 3125 = 5^5. Matching exponents gives x = 5.
