Compute the volume of the following solid. the solid lies between planes perpendicular to the x—axis at a: = —1 and a: = 1. the cross—sections perpendicular to the x-axis are circular disks whose diameters run from the parabola y = x2 to the parabola y = 2 — as? x a 1.. 51—33—53 2 = "0-541): , «(2: ’1‘ (j ' 7‘ acfl— 9" r \ l 2 q v=gamcw - firm—5‘7"" \ m -\ 2. let r be the region in the first quadrant bounded by the curves y = 332, y '2 4 and a; = 0. set up, but do not evaluate, the integral to compute the volume of the solid generated by revolving r about the line a: = 5 (a) (4 points) using the washer method. ‘3 7' x j *1 \l 000(9er

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5

b

step-by-step explanation: