Find two positive numbers if the sum of thrice the first number and the second number is 90 and the product is a maximum. (Input numerical values only, do not type the units, space or comma.)

Q: Find two numbers whose sum is a , if the product of one by the cube of the other is to be a maximum.

A: We have to find number

Q: Divide 120 into two parts so that product of one and the square of the other is maximum Find the…

A: Let the two parts be x and y.x+y = 120⇒ y = 120-x  --------------(1)  Maximize the product of "one…

Q: Find two positive numbers, x and y, whose sum is 100 and whose product is as large as possible.

A: Let the two positive numbers are x and y. Now, Their sum is 100. That is,          x+y=100⇒y=100-x

Q: find two positive numbers with product 576 and who’s sum is a minimum

A: we have to find numbers

Q: Find three positive numbers whose sum is 45 and such that their product is as large as possible.…

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Q: Find the two positive numbers, whose product is 100 and sum is maximum.

A: We have to find the two positive numbers, whose product is 100 and sum is maximum.

Q: Find two positive real numbers whose product is a maximum. The sum of the first and twice the second…

A: Given: The sum of the first and twice the second is 56

Q: Find two positive numbers x and y whose product is maximum and 2x + y = 100.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find two numbers whose sum is 40 and whose product is a maximum.

A:

Q: The sum is 110.Find two positive real numbers whose product is a maximum.

A: Given: The sum is 110.

Q: x2-9x+20 f(x) = %3D x2-16

A:

Q: Among all pairs of numbers (x, y) such that 2x+ y= 19, find the pair for which the sum of squares, x…

A: Given 2x+y=19y=19-2x Sum of squares, S=x2+y2=x2+19-2x2=x2+192+4x2-76x

Q: The difference of two numbers is 22. Find the numbers so that their product is to be minimum.

A: Numbers

Q: The product of two positive numbers is 16. Find the numbers if their sum is least.

A: Given the product of two positive numbers is 16

Q: The perimeter of a rectangle is 48 cm. Find the lengths of the sides of the rectangle giving the…

A: Let the two adjacent sides be a and b  Perimeter of Rectangle P = 2 ( a + b ) 48 = 2 ( a + b ) a + b…

Q: Find two positive numbers whose product is 324 and whose sum is a minimum. List them in non-…

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Q: Find two positive numbers whose product is 289 and whose sum is a minimum. List them in…

A: as per the guidelines we can provide solution to one question at a time , you can repost the other .

Q: ........ Find two positive numbers whose product is 49 and whose sum is a minimum. (Enter your…

A: Given,                  Two positive numbers whose product is 49  and whose sum is minimum

Q: Find the dimensions of the rectangle with perimeter 153.6 millimeters with the largest possible…

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Q: Find two positive numbers that satisfies the given requirements. The product is 147 and the sum of…

A: This is an optimization problem in which product = 147 is equality type constraint and function is…

Q: Find two positive numbers, x and y, whose product is 100 and whose sum is as small as possible.

A: Suppose x and y be the positive numbers whose product is 100 So, xy=100 Then, y=100x…

Q: the dimesnions of the pasture that will

A: Given that: A rancher has 300 feet of fencing to enclose a rectangular pasture bordered on one side…

Q: Find three positive numbers whose sum is 260 and whose product is a maximum. (Enter your answers as…

A:

Q: Among those positive real numbers x and y whose sum is 50, find these numbers that makes their…

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: 7. The diagonal of a certain rectangle is twice its length minus 2₁ while its width is twice its…

A: Given d=2(l-2) W=2(l-8) Area=? Perimeter=?

Q: Find two positive numbers if the sum of the first number and twice the second number is 108 and the…

A: Given that if the sum of the first number and twice the second number is 108 and also given that the…

Q: Find three real numbers x, y, z whose sum is 6 and the sum of whose squares is as small as possible.…

A: Suppose the numbers are x,y and z which sum is 6. So, g(x,y,z)=x+y+z-6=0...(1) And, whose sum of…

Q: Find two positive real numbers such that the sum of the first number squared and the second number…

A: Here we use application of derivatives.

Q: Find two numbers whose sum is 14 and whose product is the maximum possible value. What two numbers…

A: Given the sum of the two numbers is 14

Q: Find two numbers whose sum is a, if the product of one by the cube of the other is to be a maximum.

A: According to our guidelines In case of multiple questions we are supposed to answer the first…

Q: Find the two numbers whose sum is a. If the product of the square of one by the cube of the other is…

A: Let us consider the function f(x)  To maximize the function  Differentiate the function with…

Q: Among all pairs of numbers (x,y) such that 2x+y=17, find the pair for which the sum of squares,…

A:

Q: Find two positive numbers whose product is 192 and the sum of the first and three times the second…

A: Suppose two positive numbers are  x and y The product of numbers are 192 therefore, xy=192 ⇒y=192x…

Q: Find two numbers such that the sum of the first and twice the second is 56 and whose product is…

A: Sum of the first and twice the second is 56.

Q: Find three positive numbers whose sum is 210 and whose product is a maximum. (Enter your answers as…

A: Let x,y and z are the three positive number. Therefore, according to the condition. x+y+z=210xyz=max…

Q: Find two positive numbers x and y , whose product is 900 and whose sum is as small as possible

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Q: Find two numbers whose sum is 11 and whose product is a maximum.

A: Let x and y be the two numbersx+y =11y =11-xProduct is maximumTherefore, xy is maximumx(11-x) is…

Q: Find two positive real numbers whose product is a maximum. The sum of the first and three times the…

A:

Q: Find two positive numbers such that the sum of the first and twice the second is 72 and whose…

A: Given the two positive numbers such that the sum of the first and twice the second is 72

Q: Find two positive numbers with product 529 and whose sum is a minimum. Enter your answers in…

A:

Q: Find two positive numbers such that the sum of the first and twice the second is 96 and whose…

A: Let the first number be "x" and the second number be "y". The sum of the first and twice the second…

Q: Divide the number 120 into two parts such that the product of one part and the square of the other…

A: To divide the number 120 into two parts such that the product of one part and the square of the…

Q: Find three positive numbers whose sum is 48 and such that their product is as large as possible.…

A:

Q: Find two positive real numbers whose product is a maximum. The sum of the first and three times the…

A: Here, we need to find two positive real numbers whose product is a maximum. The sum of the first and…

Q: Find two positive numbers whose sum is 9 and the product of one number and the square of the other…

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Q: d two positive numbers such that the sum of the first number and twice the second is 108 and ir…

A: Given query is to find indicated unknown number.

Q: Find two numbers whose sum is 50 and whose product is a maximum.

A: To find two numbers whose sum is 50 and whose product is a maximum.

Q: A large plywood box has a volume of 12 ft3. Its length is 4 ft greater than its height, and its…

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Q: Suppose a tortoise is 1000 ft from the ocean. Each day the tortoise travels 3/5 of the remaining…

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