An ant and a beetle are sitting at the south east corner of a rectangular picture frame. After a piece of sugar is placed on the north west corner they simultaneously start moving towards the sugar. The ant is moving around the frame 1.5 times faster than the beetle who is crossing the picture on a diagonal. If the length of the frame is 8 inches and the width is 1 inch more than half of diagonal, who will get to the sugar first? Ant’s path is ___ inches and Beetle’s path is ___ inches. will get there first.

1. if events a and b are non-overlapping events, how do you find the probability that one or the other occurs? 2. what does it mean if p(a or b) equals 1?

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).

If bradley saves for 4 weeks, what is the total amount of money he will have saved?