Of all numbers whose difference is 10, find the two that have the minimum product. ..... What are the two numbers? (Use a comma to separate answers as needed.)

Q: Find the number in the interval [0,3] such that the difference of its square from its cube is the…

A: Given problem:- Find the number in the interval [0, 2/3] such that the difference of its square from…

Q: Solve the following inequality graphically in two-dimensional plane: x > – 3

A: We first draw the line x=-3

Q: Find two positive real numbers x and y such that they add to 120and x 2y is as large as possible.

A: Given: x+y=120and  y=120-xAlso given that z=x2ybut we have z=x2120-x=120x2-x3    ...(1)

Q: a, Find at2

A: Given :…

Q: Solve the following inequality graphically in two-dimensional plane:2x – 3y > 6

A:

Q: Find a positive number x such that the sum of 4x and is as small as possible. Does this problem…

A: Solution is given below:

Q: Show that the interval [a,b] is complete

A: Given

Q: Find two positive integers whase. and Q2 is. with. product Sum. the the of one the Sovucre of other…

A: Disclaimer: Since you have posted multiple question, we will be posting  We will be using the fact…

Q: Given the interval (a,b), on the x-axis with the point c inside, find the greatest value for 8 >0…

A:

Q: A person in a boat 4 km from the nearest point P on a straight shoreline wants to go to point A on…

A:

Q: Let x and y be postive numbers such that x+2y=50. Fing the values of x and y that make the quantity…

A: Here we will use the concept of maxima and minima to solve this question

Q: True or False: All possible standardized Pearson rs, if plotted on a Cartesian plane, exist between…

A: Correlation means the study of interrelation between two variables which measures the strength of or…

Q: Find and prove the minimum possible value of…

A: p + q + r + s >_ 4( pqrs )1/4 for all positive integers p, q, r and s.

Q: Given two nonnegative numbers a and b such that a + b = 4, what is the difference between the…

A: Given ,          a+b=4             b=4-aGiven expression=a2b288   fa=a24-a288…

Q: Among all pairs of numbers whose sum is 16, find a pair whose product is as large as possible. What…

A:

Q: Suppose that two nondimensional quantities are exactly A chapter, express the four quantities (A+B),…

A: Given,          A=8.73       3 siginficant figuresB=1.389     4 siginficant figures

Q: Find three positive integers x, y, and z that satisfy the given conditions. The product is 27, and…

A: for finding value of x,y,z we will property arithmetic mean is greater than equal to geometric mean…

Q: 2. Find three positive integers x, y, and z if their product is 27 and the sum is a minimum.

A: Given three positive numbers are  x, y, and z Product = xyz = 27 And sum is minimum

Q: Find the area of the region enclosed by the curves  f (x)  =  4x + 15 and g(x)  =  2x + 33, and the…

A:

Q: Sketch the set of points satisfying: |z - 1 + 2i| = |z + 3 + i|

A:

Q: 13. Let P be the perimeter of a rectangular fence. Prove that the shape that encloses the maximum…

A:

Q: Let x and y be numbers, where x > y. Find the values of x and y such that their difference is 50 and…

A:

Q: Given the interval (a, b) on the x-axis with the point c inside, find the greatest value for ð > 0…

A: on the given interval (a,b) on the x-axis with the point c inside, find the greatest value for…

Q: Theorem 3. Every solution of Eq.(1) is bounded if a + < 1.

A: As per the information, we will first find a recurrence relationship of the sequence, then find its…

Q: Find two positive numbers whose product is 193 and whose sum is a minimum. A 0,193 1,193 193 2/193,…

A:

Q: c. Find all the points X1 x2 in R3 [x3. that are transformed to Explain.

A: Given, the transform spantial coordinates                               x1x2x3into plane coordinate…

Q: 7. Find the minimum of, f(x1, x2) = 2x? – X1X2 + 2x³ + x³ – 2x1x3 And check the second order…

A: This is a problem of multi-variable calculus.

Q: Let x be a real number. Prove that there is a positive integer n such that the distance between nx…

A: Let x be a real number  To prove there is a positive integer n such that the distanc between nx and…

Q: Find the two positive integers x and y such that x + y = 60 an 2 xy is maximum

A: The equation is x+y=60 where x and y are two positive integers. The main objective is to find x and…

Q: 14. A 2x + 17 25 112 B 133 25 D 39

A: The converse of the Hinge theorem states that when two triangles have two congruent sides, then the…

Q: and such that the sum of their squares is as small as possible. Give the sum of the squares.

A: Given problem:- 2. Using Lagrange multipliers, find three positive numbers whose sum is 18 and such…

Q: The base of a three-dimensional figure is bound by the graph x = y° on the interv 1, 2]. Vertical…

A: As it is known that the area of an isosceles triangle is given as 12bh where b is the base and h is…

Q: Use the diagram shown. В C 主 G 丰 Which is a needed step to prove that AABF EAEDG

A:

Q: 2. Let a,, az,.., a, be numbers. Show that there is a single number r such that foxo: (-a,) + (z –…

A: Solving

Q: Find three positive integers x, y, and z that satisfy the given conditions. The product is 8, and…

A: Here, We have 3 positive integers x,y,z. Conditions are, x * y * z = 8…

Q: Find a positive number a such that the sum of 36x and is as small as possible. Does this problem…

A: The sum of the number of 36x and 1x

Q: Find all values of æ for which rank(A) = 2.

A:

Q: Show that if A and B are similar, then AT and BT are similar.

A: Let A and B are similar matrices. By definition of the similar matrices.  The matric A and B are…

Q: Solve the following inequality graphically in two-dimensional plane:– 3x + 2y ≥ – 6

A: We first sketch – 3x + 2y = – 6 line We will use a table for this x 0 2 y -3 0

Q: Let C be the Carve of intersection Z - l-2x2 and cyhder x* ys 1 oniented counter dockwise from…

A: Given  F→=4x2+4xy2,4xy+z and the curve of the intersection z=1-2x2 and cylinder x2+y2=1 oriented…

Q: what is a phythagoras theorem?

A: Pythagorean Theorem has a right angle triangle.

Q: Represent graphically the set of values of z for which 3 < 2 2 + 3

A: According to the given information, it is required to represent the given function graphically.

Q: 7. Find the minimum of, f(x1, x2) = 2xỉ - x1x2 + 2x3 + x3 – 2x1x3 And check the second order…

A:

Q: r = √3 − 2cos θ.

A:

Q: i) List all the ordered pairs (a, b) such that aRb, for all a,beX ii) Find the maximal and minimal…

A:

Q: Let a, b, and c be real numbers such that a + the maximum value of (ab + bc + ca).

A: