Equation: f(x)=x^3-6x^2+40
Find two numbers whose product is maximum, but whose sum is
2.
Repeat the previous problem using the product x^2 · y and the
sum 2?
write a program to find the maximum possible sum such that no
two chosen numbers are adjacent either vertically, horizontally, or
diagonally. code in java
1-The sum of two numbers is 34. a)Find the largest possible product of these numbers. b)What would be the largest possible product if the sum if the two numbers were "k"?
2-Sixty meters of fencing are used to fence a rectangular garden. a)Find the dimensions that will give that maximum area. b)What would be the maximum area if "k" feet of fencing were used in terms of "k"?
THANK YOU
Consider Cardano's problem of finding two numbers whose sum is
10 and whose product is 40.
a) Cardano knew beforehand that no such (real) numbers existed.
How did he know? Can you prove it?
b) Solve the system of equations x+y=10 and xy=40 to find
Cardano's complex solution.
c) Check that this solution does work-that is, thatb the sum of
your complex numbers is 10 and that their product is 40.
a)Find two positive numbers such that the sum of the first number
and twice the second number is 108 and the product is a maximum
b)figure out the dimentions of a rectangular solid that has a
square base of maximum volume if its surface area is 216 square
inches
Two dice are rolled. 1. Find the probability of getting two
numbers whose sum is greater than 10 2. Find the probability of
getting two numbers whose sum is less than 13. 3. Find the
probability of getting two numbers whose sum is less than or equal
to 10.