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Given the following function of x, f(x)=|x-2|+|3x-2|-|x+2|,-3≤x≤5
a) State all of the x-values at which extrema could occur according to the theorem from the lectures on extreme values of continuous functions. Enter a list, for example (3,4,5)?
b) For which value of x is f(x)at its maximum?
c) For which value of x is f(x)at its minimum?
Find the average velocity over the given time intervals
What are the ingredients of a Mathematical Model and What is a model?
Let m'(A) = inf sum of |M_i| where i is from 1 to infinity, such that A is a subset of M_i. M_i's are disjoint.
Find a nonzero vector PQ with initial point P(-1,3,-5) such that u is opposite in direction to v = (6,7,-3). In other words, find the coordinates of Q.
A boat can travel 46 mph in still water. If it travels 270 miles with the current in the same length of time it travels 190 miles against the current, what is the speed of the current?
evaluate the coordinate of centroid using multiple integral methodlet t be the region inside the sphere x2nbsp y2nbsp
The cruise-control function on Georgina's car should keep the speed of the car within 3mi/h of the set speed. Write a compound inequality to show the acceptable speed s if the set speed is 55 il/h. graph the solutions.
translate the phrase to an algebraic expression Justin had $41 before spending n dollars on jeans. How much money remains?
A simply supported circular shaft is subjected to maximum bending moment of 32 kN-m and twisting moment of 10 kN-m, find the required shaft diameter, if the maximum shear stress allowed is 210 Gpa
The base of an aquarium with volume V = 215 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
The demand is currently 600 t-shirts, but euphoria over the championship is subsiding so the demand is dropping by 200 t-shirts per day. How is the profit changing with respect to time?
Consider a uniform bar such that α(x) = 1, β(x) = 0.5 with q(x) = x(1 - x). Find the best least squares approximation for the temperature distribution in the bar from S
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