A)The position of an object at any time t is given by s(t)=3t4−40t3+126t2−9 i. Determine the velocity of the object at any time t. (2marks)

ii. Does the object ever stop changing? (3marks)

iii. When is the object moving to the right and when is the object moving to the left?

Does the point (1, sqrt 7) lie on circle shown.

Equation for the calculation double 2 and then add 5

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).