V(t)=2t^2-3t+1 When is V maximized?

Q: 2. A boat on a lake is 3 miles from the nearest point on a straight shoreline. That point is 5 miles…

A: Consider the given information and the figure:

Q: An open-top box is to be made from a 20 in by 30 in piece of cardboard by removing a square from…

A: Let each side of the square cut-off from each corner be x in. then the length of the base of the box…

Q: You wish to minimize f(x)=10X(1^2 )-X_(2^2 ). If you use steepest descent starting at (1,1)will you…

A: Consider the given function, fx,y=10x2+y2 we have given the starting point 1,1. Now, ∇fx,y=20x,…

Q: A piece of wire of length L is to be cut into two pieces, one piece to form a square and the other…

A:

Q: A real-estate firm owns 100 apartments. At 700 OMR per month, each apartment can be rented. However,…

A:

Q: Find two numbers such that their difference is 5 and their product is minimum.

A:

Q: A farmer wants to fence an area of 13.5 million square feet in a rectangular field and then divide…

A: Let one side be length P and the other QTotal area = PQ =13.5 million

Q: Find two positive integers such that their sum is 10 and maximize and minimize the sum of their…

A:

Q: A piece of cardboard measuring 11 inches by 13 inches is formed into an open-top box by cutting…

A: Given query is to find volume of the box and the value of x for which volume is maximum.

Q: A rectangular lot is to be fenced in using two different kinds of fencing. Three sides will be…

A: Given that, Three sides of rectangular land will be fenced using standard fencing that costs $7 per…

Q: Of all numbers whose sum is 50, find the two that have the maximum product. That is, maximize Q =…

A:

Q: An espresso stand finds that at a price of $4.00, demand is 440 cups. For every $0.25 increase in…

A:

Q: A piece of cardboard measuring 13 inches by 8 inches is formed into an open-top box by cutting…

A:

Q: units of special lamp and the regular lamp should be produced per production period in order to…

A:

Q: Find the number in the interval [ - 5,5] so that the sum of six times the number and its square is…

A:

Q: Suppose a corporation manufactures candles at two locations. The cost of producing *1units at…

A:

Q: A real-estate firm owns 100 apartments. At 400 OMR per month , each apartment can be rented.…

A:

Q: a 60 room hotel is filled to capacity every night at a rate of $40 per room. the management wants to…

A:

Q: a rectangular property has three sides fenced in against an existing river by 1,200 feet of wooden…

A: Consider the given information.

Q: Find two positive numbers x and y that maximize Q = x2y if x + y = 2.

A: Given function - Q = x2y               ...........(1)And,x+y = 2y = 2-x…

Q: Find two positive numbers with product 256 and whose sum is a minimum

A:

Q: Find two positive number whose sum is 15 so that the sum of their square is minimum.

A:

Q: Forwarded Maximize z = 2x1 + 3x2 subject to 5x1 + 7x2 \leq35 4x1 + 9x2 \leq36 x1, x2 \geq 0 and…

A: Maximization of a linear programming problem is carried out to obtain a solution that follows all…

Q: Suppose a baby food company has determined that its total revenue R for its food is given by R = ' +…

A:

Q: Find two positive numbers whose sum equals 100 and who maximize the square root of their product. X…

A:

Q: 1. Find non-negative numbers x and y such that x + y = 150 and ²y is maximized. 2. You are to…

A:

Q: piece of wire is with a length of 4 m is cut into two pieces, and the resulting two pieces are…

A:

Q: A farmer wishes to build a rectangular fence and has 800 meters of fencing material with which to…

A:

Q: A piece of cardboard measuring 9 inches by 8 inches is formed into an open-top box by cutting…

A: Here I am attaching image so that you understand each and every step.

Q: A manufacturer of tennis rackets makes a profit of $15 on each oversized racket and $8 on each…

A: To maximize the profit

Q: A small orchard yields 25 bushels of fruit per tree when planted with 40 trees. Because of…

A: The statement mentions that there are 25 bushels of fruit per tree when planted with 40 trees. Now,…

Q: 6. A square sheet of cardboard of side 12 in. square is used to make an open box by cutting out…

A:

Q: A real-estate firm owns 100 apartments. At 400 OMR per month, each apartment can be rented. However,…

A: To find the total revenue.

Q: A piece of wire of length 200in is cut into at most two pieces. Each piece is bent into the shape of…

A: A piece of wire of length 200in is to cut into at most two pieces & each piece is bent into the…

Q: A piece of cardboard measuring 11 inches by 12 inches is formed into an open-top box by cutting…

A: A piece of cardboard measuring 11 inches by 12 inches is formed into an open-top box by cutting…

Q: A rectangular box without lid is to be made from a square cardboard of sides 18 cm by cutting equal…

A: This question is based on application of derivative.

Q: A piece of cardboard measuring 11 inches by 12 inches is formed into an open-top box by cutting…

A:

Q: A 470-unit hotel is trying to determine their daily rates. From experience, the hotel manager knows…

A: answer is in next step. please give a like !!!

Q: How would you divide a 27 inch line into two parts of length A and B so that A+B=27 and the product…

A:

Q: Since the feasible region is closed and bounded, we know that the maximum value will occur at…

A:

Q: Use Lagrange multipliers to find three positive numbers whose sum is 230 and whose product is…

A:

Q: A 40-room hotel is fully occupied if $3000 is charged per day per room. For every x hundred-dollar…

A:

Q: A boat in the ocean is 3 miles from the nearest point on a straight shoreline; that point is 5 miles…

A: Given- A boat in the ocean is 3 miles from the nearest point on a straight shoreline; that point is…

Q: A company operates 16 oil wells in a designated area. Each pump, on aver- age, extracts 240 barrels…

A: The given data are: A company operates 16 oil wells in a designed area. on average age, extracts 240…

Q: Find a pair of non-negative numbers that have a product of 162 and minimize the sum of two times the…

A: Let the numbers be x,y. Given  x·y=162y=162x The function to be minimized will be Fx=2x+y…

Q: Suppose x and y are positive integers such that the sum of x^2 and y is 10x. Find the values of x…

A: Given x^2+y=10x.From there find y.

Q: What is the maximum profit that can be reached?

A: A linear demand curve is a graph that depicts the relationship between demand and pricing for a…

Q: A piece of cardboard measuring 9 inches by 12 inches is formed into an open-top box by cutting…

A: A piece of cardboard measuring 9 inches by 12 inches is formed into an open-top box by cutting…

Q: Find two positive numbers with product 256 and whose sum is a minimum.

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.