Senior-secondary mathematics task 20: Evaluate ∫₀^4 (3x+3) dx.
An antiderivative is 3/2 x²+3x. At x=4, the value is 36.0.
Practice china-gaokao-mathematics questions with answers and explanations.
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.
Choose an option to check your answer.
The sum is n(n+1)/2=21, so the mean is 21/6.
Choose an option to check your answer.
There are 4 favourable outcomes out of 9 equally likely outcomes, so P(red)=4/9.
The dot product is 2×3+3×2=12.
Rewrite the value using base 3: 27 = 3^3. Matching exponents gives x = 3.
Choose an option to check your answer.
Use the circle-area formula A = πr². Substituting r = 3 gives A = π × 3² = 9π.