Practice china-kaoyan-math-3 questions with answers and explanations.
f′(x)=12x²+14x. Substituting x=1 gives 26.
f′(x)=9x²+12x. Substituting x=4 gives 192.
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.
Choose an option to check your answer.
Use the circle-area formula A = πr². Substituting r = 5 gives A = π × 5² = 25π.
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The sum is n(n+1)/2=36, so the mean is 36/8.
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There are 4 favourable outcomes out of 8 equally likely outcomes, so P(red)=4/8.
The coordinate differences are 3 and 4, so the distance is √(3²+4²)=5.
Rewrite the value using base 4: 256 = 4^4. Matching exponents gives x = 4.
Choose an option to check your answer.
Use the circle-area formula A = πr². Substituting r = 4 gives A = π × 4² = 16π.
Percentage=(11/26)×100=42.31.
