Practice China questions with answers and explanations.
The dot product is 4×2+5×4=28.
Rewrite the value using base 5: 3125 = 5^5. Matching exponents gives x = 5.
An antiderivative is 3/2 x²+3x. At x=4, the value is 36.0.
The dot product is 3×4+4×3=24.
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=(7/22)×100=31.82.
Subtract 6 from both sides and divide by 5: x = (26-6)/5 = 4.
By Vieta’s formula, the sum of the roots equals the coefficient 14.
The coordinate differences are 3 and 4, so the distance is √(3²+4²)=5.
f′(x)=9x²+8x. Substituting x=3 gives 105.
The dot product is 2×3+3×2=12.
