Consider the differential equation d³x/dt³ +10 d²x/ dt² + 31 dx/dt + 30x ⁽¼⁾ = f(x), where f(x) is the input and is a function of the output, x. If f(x) = (1/4) eˣ, linearize the differential equation for x near 0.

Ined this is due tomorrow and i dont know the answer can you find all the exponents

Which one is true about the hexagons ?

Evaluate 8x2 + 9x − 1 2x3 + 3x2 − 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 − 2x = x(2x2 + 3x − 2) = x(2x − 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the form† 8x2 + 9x − 1 x(2x − 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x − 1)(x + 2), obtaining 8x2 + 9x − 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x − 1).