Consider the indefinite integral xvx-Idx. (a) At first glance, this integrand may not seem suited to substitution due to the presence of x in separate locations in the integrand. Nonetheless, using the composite function Vx-I as a guide, let ux1. Determine expressions for both x and dx in terms of u.
(b) Convert the given integral in x to a new integral in u.
(c) Evaluate the integral in (b) by noting tht2 and observing that it is now possible to rewrite the integrand in u by expanding through multiplication.
(d) Evaluate each of the integrals V-Idx and [xv-Idx. Write a paragraph to discuss the similarities among the three indefinite integrals in this problem and the role of subsi tion and algebraic rearrangement in each.

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages

x coordinate is none

step-by-step explanation: