数千道详细的逐步解答。查找类似题目，练习并提升技能。
Tìm biến đổi Laplace: Lt^2
đạo hàm f(x) = 8x³ + 4x² + 7x
derivative of f(x) = 8x³ + 5x² - 9x
Giải BPT bậc hai 2x² + -1x + 7 > 0
(3x - 5)/(3x + 1) > 0
x^4 + -2x² + 40 = 0
Solve the quadratic equation: 7x² - 38 = 0
Find the dot product of vectors a = (-3, -8) and b = (-4, 0).
Vectors a = (2, 4) and b = (-3, 2) in 2D. Find a + b, a - b, |a|, a·b.
解对数方程: log_5(x) = 3
解对数方程: log_2(x) = 4
Evaluate: ∫_2³ x² dx
Evaluate: ∫_2^4 x³ dx
Find integer solutions for the Diophantine equation: 5x + 8y = 1
system of equations x + 5y = 3, 2x - 2y = -4
已知 A = 10, 10, 2, 8, B = 7, 7, 10。求 A ∩ B, A ∪ B 和 A \ B。
解方程 15x + -14 = 0
derivative of f(x) = 6x³ + 7x² + x
đạo hàm f(x) = 9x³ + 5x² + 7x
(4x - 1)/(1x + 3) ≥ 0
Giải bất phương trình: (4x - 7)/(2x + 7) ≥ 0
Maximize z = 9x + 5y subject to: x + y ≤ 15, x ≥ 0, y ≥ 0
解线性不等式 2x + 14 ≥ 2
解一元二次方程: 12x² - 32x + 20 = 0