By lagranges multiplier method,i did the problem
(8 pts) Find three positive numbers whose sum is 27 and such that the sum of...
14.8.25 Find three real numbers x, y, and z whose sum is 27 and the sum of whose squares is as small as possible. The three numbers are (Simplify your answers. Use a comma to separate answers as needed.)
7) Find three positive numbers whose sum is 100 and whose product is a maximum. Set up a function and use partial derivatives to find the maximum.
8. Find all pairs of numbers whose sum of squares is 14 and whose difference of squares is 4.
14. Find three positive numbers x, y, and z such that the sum of the three numbers satisfies the equation 3x+y+2z = 24 and whose product is a maximum.
Solve the problem using a system of equations in two variables. Find two positive numbers whose squares have a sum of 25 and a difference of 7. h The two numbers are 1 (Use a comma to separate answers.)
14. Find two positive real numbers with a maximum product whose sum is 110. Write one number in each blank. 15. Find two positive real numbers where the sum of the first number and twice the second is 36. Find the two numbers that maximize the product. Write one number in each blank. 16. A rectangular garden is planted right up next to the wall of a building, and it going to have edging on three sides. If 54 feet...
the sum of two nonnegative numbers is 20. find the number if a. the sum of their squares is as large as possible; as small as possible b. oen number plus the square root of th eother is as large as possible; as samll as possible
Question 7 Find two positive real numbers whose product is a maximum. The sum is 140. Set up two equations using s and 7 for the two real numbers. s + t = 140 and M = st Find the maximum value of M. O 10, 130 O O 100, 40 O 80,60 O 90,50 70, 70
Find all arithmetic progressions of natural numbers beginning with 3 whose sum is a three digit number whose digits form a non constant geometric progression.
Find all arithmetic progressions of natural numbers beginning with 3 whose sum is a three digit number whose digits form a non constant geometric progression.