Find two numbers whose sum is 15 and whose product is a maximum. .... The two numbers are (Simplify your answer. Use a comma to separate answers as needed.)

Q: Express the length plus the girth in terms of x and h.

A: Given: length l and the girth xie., length =l and sides of a square=x

Q: A ladybug crawls around the outside of a rectangle that measures 9.5 cm by 7.5 cm. The ladybug stays…

A: The dimensions of rectangle 9.5 cm by 7.5 cm The ladybug stay 3.2 cm from the rectangle at all time…

Q: What is the maximum area of a rectangle that can be inscribed in a right triangle with a base 8 cm…

A: This question can be solved using the concept of maxima and minima.

Q: Two poles, one 8 meters tall and one 20 meters tall, are 25 meters apart. A length of wire is…

A:

Q: A shipping company handles rectangular boxes provided the sum of the length, width, and height of…

A: Let the dims be x, y and z then volume V=xyz           -----------(1) and the restriction we have…

Q: Describe the set of all points that satisfy (x−1)(x−3)(x+5)=0(x−1)(x−3)(x+5)=0 if the solution set…

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Q: Solve the BVP for the disk

A: In this question, we solve the Laplace equation in polar form. The B.C are given as exterior of the…

Q: The base of a three-dimensional figure is bound by the circle x² + y² = 1. Vertical cross-sections…

A:

Q: You are given a rectangular piece of paper that has length x=35.4x=35.4 cm and height y=28y=28 cm.…

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Q: For what minimum integer value of a, will the line ax+(a+1),y=18 (a> 0) have two intersection points…

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Q: Find the endpoints of the lactus rectum of y^2=-28x

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Q: Find the midpoint of points (2,-7) and (-4,5) * O (0,0) O (1,-1) O (-1,-1) O (1,1)

A: Let's find.

Q: What is the sum of the coordinates at which the diagonals of ABCD intersect?

A: From the given figure, The equation of the diagonals can be written as :

Q: According to U.S. postal regulations, the girth plus the length of a parcel sent by mail may not…

A: Given the volume function Domain are the set of x values for which the function is well defined.…

Q: A Norman window is constructed by adjoining a semicircle to the top of a rectangular window, as…

A: Perimeter of Norman window(P)=Perimeter of rectangle(P1)+Perimeter of…

Q: describe the sets of points in space whose coordinatessatisfy the given inequalities or combinations…

A: We have to describe the set of points in space whose coordinates satisfy the given combinations of…

Q: Cleatus, owner and operator of ACME Golf Inc., has a scheduled appointment at Spudnickville Golf…

A: In order to find the distances through river and ground to reach in minimum time, total time taken…

Q: Give three other ordered-pairs of the form (r, θ) that name the same point as (3, 60°)

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Q: Give three other ordered-pairs of the form (r, e) that name the same point as (3, 60°)

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Q: . By law, a wheelchair service ramp may be inclined no more than 4.76°. If the base of a ramp begins…

A:

Q: Find the distance from (-5,9, –12) to each of the following: 1. The xy-plane. Answer:

A: Given point :-  (-5,9,-12) To find:- Distance of given point to plane xy

Q: A parabolic goblet with a cup that is as wide as it is tall holds 1.74r^3 oz of water when it is…

A: A parabolic goblet with a cup that is as wide as it is tall holds 1.74r3 oz of water when it is…

Q: If a gun is fired with and a =30o and V0 = 500m/s, whenwill the bullet hit the ground? How far from…

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Q: Follow the Bouncing Ball-A ball rebounds one-fourth the height from which it is dropped. The…

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Q: A man in a rowboat at P.5 miles from the nearest point A on a straight shore. wishes to reach to a…

A: This problem is based on maxima minima function. After getting minima function we got the value of x…

Q: A rectangular display in a furniture store needs walls on three sides only, with 6-foot openings on…

A: Given, The display needs to have floor space of 450 ft2. Used formula - Area of rectangle = Length…

Q: Find all points with integer coordinates located at a distance of 3 from the origin.

A: we have to find all points with integer coordinates at a distance of 3 from the origin. Let P(x,y)…

Q: What value represents the approximate length of x, the distance from the center of the octagon to…

A: Answer is mentioned below

Q: A ladybug crawls around the outside of a rectangle that measures 9.5 cm by 6.5 cm. The ladybug stays…

A:

Q: Building Play Area

A:

Q: Suppose that 259 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: Given, Perimeter of corral = 259 ft Then, x+2y+2πx22=259y=259-x-πx22            ... (1)

Q: The midpoint of AB is at (-3,-2) if A= (10,-1) find B

A: Answer is - B = (-16,-3).

Q: 10 11 16 15 14 13 12

A: square forming

Q: Determine the midpoint that lies between the two given points. (3π, 3) and (6π, 9)

A:

Q: (EX) Max wishes to enclose a rectangular garden, using one side of his house as shown below. What is…

A: We use second derivative test to find out dimensions of rectangular garden have maximum area

Q: A manufacturer wants to design an open box having a square base and a surface area of 108 square…

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Q: if the hypotenuse of a right triangle is 25, show that the area is a maximum of it is isosceles

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Q: Twenty feet of wire is to be used to form two figures. In each of the following cases, how much wire…

A: (Note: We are entitled to solve only one question at a time and up to 3 subparts only) Given: Twenty…

Q: describe the sets of points in space whose coordinatessatisfy the given inequalities or combinations…

A: Given: The equations x=y, z=0 To find: The set of points whose coordinates satisfy the given…

Q: It is possible to find the midpoint of two numbers located on a coordinate plane. O True O False

A: Find the statement is true or false

Q: Find the values for each of the dimensions of an open-top box of length x, width y, and height…

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Q: FIND THE APEA POONDED BY THE CUPVES y"=x"(4-x

A: We have to find the area bounded by the curve.

Q: DETERMINE THE SHORTEST DISTAtNCE FROM THE POINT -1,2) 5x-12y=10, TO THE EQUATION %3D

A:

Q: a ferris wheel is elevated 1 meter above the ground. when a car reaches the highest point on the…

A: Given: The ferris wheel is lifted 1 meter above the ground. Highest altitude of the car in the…

Q: Find the length between each pair of points.(-1, 6) and (7, 2)

A: Formula used:

Q: top of the second post. How far from the shorter pole must the peg be installed so that the length…

A:

Q: ind the maximum product of two positive numbers given that the sum of the umber and twice the second…

A: Please refer to the image below

Q: Describe the set of all points that satisfy x=9x=9 if the solution set is plotted (a) in RR, the…

A: Given x=9 Aim: To describe the set of all point which satisfy it