Find two positive numbers whose sum is 16
WebQuestion: Find two positive numbers whose product is 25 and whose sum is a minimum. (Enter your answers as a comma-separated list.) Find the dimensions of a rectangle (in m) with perimeter 76 m whose area is as large as possible. WebFind two positive numbers with product 361 and whose sum is a minimum. Enter your answers in increasing order. Show transcribed image text Expert Answer 100% (1 rating) Let the 2 numbers be x and y. given, x+y=minimum (x) (y)=361 Let us assume the minimum value of x+ … View the full answer Transcribed image text:
Find two positive numbers whose sum is 16
Did you know?
WebJul 8, 2024 · The two positive numbers are 4 and 4 . Let the two numbers be x and y. If the product of both numbers is 16, hence; xy = 16 ..... 1. If the sum will be at the … WebAug 5, 2024 · As second differential is positive, hence the critical point x = 8 will be the minimum point of the function S. Therefore, the function S = sum of the squares of the two numbers is minimum at x = 8. From Equation (1), if x = 8. y = 16 – 8 = 8. Therefore, x = 8 and y = 8 are the two positive numbers whose su is 16 and the sum of the squares is ...
WebUse Lagrange multipliers to find two positive numbers whose product is 196 and whose sum is a minimum. (Enter your answers as a comma-separated list.) This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer Question: 3. [-/1 Points] DETAILS SCALCET9 14.8.017. WebSolution: Given Product of two numbers = 44. Sum of two numbers = 24. Let's consider the numbers we need to find as x and y. To solve the problem x.y = 44. x+y = 24. y=24-x. Replace the value of y in the equation x.y=44. It's not necessarily y if you want you can interchange with the value of x too as x and y are interchangeable.
WebJan 22, 2024 · Let one number be x. Then, the other number is (16 − x). Let the sum of the cubes of these numbers be denoted by S(x). Then, ∴ By second derivative test, x = 8 is … WebQ: 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…
WebMar 30, 2024 · Let first number be 𝒙 Since Sum of two positive numbers is 15 𝑥+ 2nd number = 15 2nd number = 15 – 𝒙 Let S (𝑥) be the sum of the squares of the numbers S (𝑥)= (1st number)2 + (2nd number) 2 S (𝒙)=𝒙^𝟐+ …
WebFind two positive numbers x and y whose sum is 7 so that x^(2)*y−8x is a maximum. This problem has been solved! You'll get a detailed solution from a subject matter expert that … learn math fast curriculumWebFind two positive numbers whose sum is 16 and the sum of these cubes is maximum. Medium. how to do genealogy research online freeWebTo get a sum of 16, let the two numbers be 8-a and 8+a, where a is constant. The sum of the two numbers is 16; and the product is (8-a) (8+a)=64-a^2. The maximum value of … how to do genealogy for freeWebApr 9, 2024 · Let the number to be squared be x and the other number be y; then, x^2 + y = 200, or y = 200 - x^2 We are trying to maximize xy=x(200-x^2) = 200x-x^3. We see why the values had to be positive to make sense, as … how to do generalization in lesson planWebYou'll get a detailed solution from a subject matter expert that helps you learn core concepts. Question: Find two positive numbers whose product is 16 and whose sum is a … learn math for adultsWebWork out the product of 2, 4 and 9. The product means that you need to multiply the three numbers together. 2 × 4 × 9 = 72. The sum means that you need to add the three numbers together. 2 + 4 + 9 = 15. This content is accurate and true to the best of the author’s knowledge and is not meant to substitute for formal and individualized advice ... learn math first gradeWebAug 5, 2024 · As second differential is positive, hence the critical point x = 8 will be the minimum point of the function S. Therefore, the function S = sum of the squares of the … how to do genealogy research