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) = -4ײ + 256x, with h being the height (in meters) and x being the distance (in meters) What is the maximum height that the object reaches?

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) = -4ײ + 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
55 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)
What is the resulting displacement when a vector of magnitude 15 units is added to a vector of magnitude 20 units, given that they are in opposite directions?
+
What is the sum of the interior angles in a polygon with 10 sides?
+
Math question: Determine the absolute extrema of the function f(x) = x^3 - 4x^2 + 3x on the interval [0, 3].
+
New questions in Mathematics
A=m/2-t isolate t
Using a remarkable product you must factor the expression: f(x) =36x^2-324 and you are entitled to 5 steps
3(2+x)-2(2x+6)=20-4x
How many percent is one second out a 24 hour?
what is 3% of 105?
5) A family with a father, mother and 3 children must sit on five chairs in a row and the only restriction is that the mother must be at one end. In how many different ways can they be seated?
58+861-87
Two numbers differ by 7, and the sum of their squares is 29. Find the numbers.
A bird randomly chooses to land on 1 of 12 perches available in its aviary. Determine the Probability of it landing on a perch numbered 8 and then on a perch marked with a prime number; take into account that he never lands on the same perch in the sequence.
By direct proof, how can you prove that “The sum of any three consecutive even integers is always a multiple of 6”.
A recurring sequence is one where elements repeat after completing one standard. If the sequence AB8C14D96AB8C1... is recurring its twentieth term is equal to: (A) B. (B) 8. (C) A. (D) 6. (E) D.
From 1975 through 2020 the mean annual gain of the Dow Jones Industrial Average was 652. A random sample of 34 years is selected from this population. What is the probability that the mean gain for the sample was between 400 and 800? Assume the standard deviation is 1539
Determine the increase of the function y=4x−5 when the argument changes from x1=2 to x2=3
The two sides of the triangle are 12 cm and 5 cm, and the angle between the sides is 60°. Cover the area of ​​the triangle!
392929-9
Sabendo+que+o+tri%C3%A2ngulo+ABC+%C3%A9+ret%C3%A2ngulo+e+que+um+de+seus+%C3%A2ngulos+mede+30+quanto+mede+o+terceiro+ tri%C3%A2ngulo
We have received our p&l statement back from accounts. The board has asked for an innovation hub. What items should we prioritise reviewing to decide if we can afford an innovation hub?
4m - 3t + 7 = 16
Solve the system of equations by the addition method. 0.01x-0.08y=-0.1 0.2x+0.6y=0.2
(3b)⋅(5b^2)⋅(6b^3)