Mathematics, 07.11.2019 10:31 goldenarrow

The height of a tree at time t is given by a twice-differentiable function h, where h(t) is measured in meters and t is measured in years. selected values of h(t) are given in the table above.

(a) use the data in the table to estimate h'(6). using correct units. interpret the meaning of h'(6) in the context of the problem.

(b) explain why there must be at least one time t, for 2 < t < 10, such that h'(t) = 2.

(c) use a trapezoidal sum with the four subintervals indicated by the data in the table to approximate the average height of the tree over the time interval 2 ≤ t ≤ 10.

(d) the height of the tree, in meters, can also be modeled by the function g, given by
g(x) = 100x/(1+x), where x is the diameter of the base of the tree, in meters. when the tree is 50 meters tall, the diameter of the base of the tree is increasing at a rate of 0.03 meter per year. according to this model, what is the rate of change of the height of the tree with respect to time, in meters per year, at the time when the tree is 50 meters tall?

(this was on the no-calculator section of the recently-released ap calculus ab 2018 exam so i appreciate it if you tried to limit calculator usage)

The height of a tree at time t is given by a twice-differentiable function h, where h(t) is measured

Answers: 3

Show answers

Another question on Mathematics

Mathematics, 21.06.2019 19:50

The probability that an adult possesses a credit card is .70. a researcher selects two adults at random. by assuming the independence, the probability that the first adult possesses a credit card and the second adult does not possess a credit card is:

Answers: 3

Answer

Mathematics, 21.06.2019 20:00

Someone answer asap for ! a discount store’s prices are 25% lower than department store prices. the function c(x) = 0.75x can be used to determine the cost c, in dollars, of an item, where x is the department store price, in dollars. if the item has not sold in one month, the discount store takes an additional 20% off the discounted price and an additional $5 off the total purchase. the function d(y) = 0.80y - 5 can be used to find d, the cost, in dollars, of an item that has not been sold for a month, where y is the discount store price, in dollars. create a function d(c(x)) that represents the final price of an item when a costumer buys an item that has been in the discount store for a month. d(c(x)) =

Answers: 1

Answer

Mathematics, 21.06.2019 21:20

In a column proof the right column states your reasons

Answers: 1

Answer

Mathematics, 21.06.2019 23:30

Line u passes through points (-52, -18) and (-29, 53). line v passes through points (90, 33) and (19, 56). are line u and line v parallel or perpendicular?

Answers: 1

Answer

You know the right answer?

The height of a tree at time t is given by a twice-differentiable function h, where h(t) is measured...

Questions

Mathematics, 24.10.2020 01:20

I am not that smart what is this answer 12356325625872351392532328532675231 6743265342526343216+879326712516235 3216336232132652623156(62526*542652...