In this problem you will calculate ∫305x3dx by using the formal definition of the definite integral: ∫baf(x)dx=limn→[infinity][∑k=1nf(x∗ k)Δx]. (a) The interval [0,3] is divided into n equal subintervals of length Δx. What is Δx (in terms of n)? Δx = (b) The right-hand endpoint of the kth subinterval is denoted x∗k. What is x∗k (in terms of k and n)? x∗k = (c) Using these choices for x∗k and Δx, the definition tells us that ∫305x3dx=limn→[infinity][∑k=1nf(x∗k )Δx]. What is f(x∗k)Δx (in terms of k and n)? f(x∗k)Δx = (d) Express ∑k=1nf(x∗k)Δx in closed form. (Your answer will be in terms of n.) ∑k=1nf(x∗k)Δx = (e) Finally, complete the problem by taking the limit as n→[infinity] of the expression that you found in the previous part. ∫305x3dx=limn→[infinity][∑k=1nf(x∗k )Δx] =

they disappear if your absent from to long. i found out that the hard way.

step-by-step explanation:

brainliest lol i just need one more brainliest.

hello!

to begin with, we're given that on earth, a rock weighs 20 pounds, and while on jupiter, that same rock weighs 42 pounds. now, we're trying to find the weight of a rock that weighs 10.5 pounds on earth, on jupiter.

to solve this, first, set up a proportion, cross-multiply, and solve it algebraically.

setting up the proportion is the hardest and the most confusing part of the problem, but it's simple.

if on earth, the rock weighs 20 lbs, and on jupiter it weighs 42 lbs, our first part of our proportion is 20/42 lbs. the second part has to be equal to each other. this means that 10.5 has to be on the numerator of the fraction, and x, the value we're trying to find, has to be on the denominator. remember that the rock weighs 10.5 lbs on earth, and we're trying to find the weight of it on jupiter (which is x).

20/42 = 10.5/x

next, you would cross-multiply.

20x = 42(10.5)

20x = 441

now, solve it algebraically by using division.

x = 22.05 lbs

this can be rounded to 22.1 lbs.

therefore, the weight of the rock on jupiter is 22.1 lbs, the fourth choice.

you'll have to attache the image of the bar graph in order for us to answer : )

step-by-step explanation:

answer: hence, function will be

explanation:

since we have given that

cost of a new textbook = $85

according to question, the resale value of a textbook decreases by 25% with each previous owner,

so, our function becomes,

here, y is the total value of the text book after x owners.

hence, function will be