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Linear Programming
Use the information below to answer questions 1 and 2.
You may also use the graph provided if it helps:
1. Use linear programming methods to find the maximum
2. Use linear programming methods to find the minimum
Lagrange Multipliers
For questions 3-6, use the Lagrange Multiplier method for optimization to find the maximum of the function : f(x) = y2 - 4x subject to x2 + y2 = 9
3. Write the Lagrange function, L (x, y, λ).4. Find the system of equations to solve the optimization problem.
5. Find all critical points.
Substitute to find the value of the expression.
Find derivatives of the following functions using differentiation rules:
a 3ft high and 5 ft width rectangular plate is submerged vertically in water so that the top is 2 ft below the surface. express the hydrostatic force against one side of the plate as an integral and evalute it.
what is the formula for a combined total of 476 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold.
What is the probability that a freshman selected at random from this group is enrolled in each of the following? (Enter your answers to three decimal places.)
The velocity of a car after t seconds is 2t feet per second. (a) How far does the car travel during its first 10 seconds? (b) How many seconds does it take the car to travel half the distance in part (a)?
A plane is heading due south with an airspeed of 211 mph. A wind from a direction of 53 degrees is blowing at 17 mph. What is the bearing of the plane?
During a chemical reaction,the temperature in the beaker decreased every minute by the same number of degrees. The temperature was 16°C at 11:08 A.M. By 11:43 A.M., the temperature had dropped to-17°C. By how many degrees did it drop each minute?
A dance team knows 14 routines of which 7 are tap, 5 are ballet, and 2 are modern. The program can consist of any four routines. In how many ways can the manager choose which routines to present if there are no restrictions?
a) Let s=x+y and t=x-y. Sketch the region R with labeled level curves of s and t sketched in. Answer the following questions to set up limits of integration in the dtds order: (i) When x=0, what is t in terms of s? When y=0, what is t in terms of s? ..
Blue Valley College has 680 female students. This is 40% of the total student body. How many students attend Blue Valley College?
A colony of bacteria grows according to the law of uninhibited growth. If 100 grams of bacteria are present initially, and 250 grams are present after two hours, how many will be present after 4 hours? Note: Do not round the value of k.
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