Suppose that a device has been created that launches objects at ground level and that its operation is modeled by the function h(x) = -4×² + 256x, with h being the height (in meters) and x being the distance (in meters) What is the maximum height that the object reaches?

Name: Solved: Suppose that a device has been created that launches objects at ground level and that its operation is modeled by the function h(x) = -4×² + 256x, with h being the height (in meters) and x being the distance (in meters) What is the maximum height that the object reaches? - MathMaster
Brand: MathMaster
Rating: 4.9 (167 reviews)

167

likes

837 views

Answer to a math question Suppose that a device has been created that launches objects at ground level and that its operation is modeled by the function h(x) = -4×² + 256x, with h being the height (in meters) and x being the distance (in meters) What is the maximum height that the object reaches?

$Expert avatar$

Miles

4.9

99 Answers

h\left(x\right)=-4x^2+256x then h'(x) = -8x+256 For critical point; h'(x)=0 -8x+256=0 x=256/8=32 x=32 Now h''(x)=-8 which is less than 0, so the function give maximum value at x=32. So the maximum height = -4\times32^2+256\times32=\:4096

Frequently asked questions (FAQs)

Math question: What is the measure of angle BAC in a circle with arc BC measuring 90 degrees?

Question: How many types of triangles are created using the lengths of sides 4 cm, 7 cm, and 9 cm?

What is the radian measure of the angle at (0,1) on the unit circle?

New questions in Mathematics

A particular employee arrives at work sometime between 8:00 a.m. and 8:50 a.m. Based on past experience the company has determined that the employee is equally likely to arrive at any time between 8:00 a.m. and 8:50 a.m. Find the probability that the employee will arrive between 8:05 a.m. and 8:40 a.m. Round your answer to four decimal places, if necessary.

Solution to the equation y'' - y' - 6y = 0

A book is between 400 and 450 pages. If we count them 2 at a time there is none left over, if we count them 5 at a time there is none left over and if we count them 7 at a time there are none left over, how many pages does the book have?

two particles start at the origin and move along the x axis. for 0 <= t <= 10, their respective position functions are given by x1 = cos(t) and x2 = (e^-3t) + 1. for how many values of t do the particles have the same velocity?

what is 3% of 105?

The director of a company must transfer 6 people from the human resources department to the sales department, in order to sustain sales during the month of December. What is the probability that he will transfer only 2 of them?

To make brine, José buys 1 kg of salt and pays 12 pesos. If he buys 4 kg, they charge him 48 pesos, but for 100 pesos they sell him 9 kg. What is the constant of proportionality?