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If I have one cost function f(x) and I have 3 subject function (nonlinear function), the length of vector x is 14. Can I solve it using matlab function (fmincon)? And if I can, can you show me example?
Given f(x,y,z)=x^2y^3z^6, in what direction is F(x,y,z) increasing most rapidly at the point P(1,-1,1). What is the rate of increase?
A large box-shaped arena has a rectangular floor that measures 200 feet by 150 feet, and a flat ceiling that is 35 feet above the floor. Find the area of the floor and the volume of the arena.
An oil tank ruptures at time t=0 and oil leaks from the tank at a rate of r(t)=100(e^(-.01t)) liters per minute. How much oil leaks out during the first hour?
There is a line through the origin that divides the region bounded by the parabola y = 3 x - 8 x^2 and the x-axis into two regions with equal area. What is the slope of that line?
A ball is thrown vertically upward from a height of 6 feet with an initial from a point of 60 feet per second. How high will the ball go?
Suppose that 6 J of work is needed to stretch a spring from its natural length of 28 cm to a length of 35 cm.
Rich is not reinvesting the interest, so the value of his investment appreciates linearly. He would like to switch to a continuously compounded investment that returns 6.25% per year. How long should he hold his bond before he sells it for face va..
A rancher wants to fence in an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?
What are the domain, range and intercepts of this one? I am totally confused about this graph. Are there even any x and y intercepts?
Write and equation for the vertical and horizontal lines passing through the point (4,-4) in (x,y) coordinates. Please show the steps to help me understand how you accomplished this.
part of a $2900 investment earned interest at a rate of 6%, and the rest earned interest at a rate of 2%. The combined interest at the end of the year was $160. How much was invested at each rate?
Standing at a crosswalk, you hear a frequency of 570 Hz from the siren of an approaching ambulance. After the ambulance passes, the observed frequency of the siren is 488 Hz. Determine the ambulance's speed from these observations.
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