A line goes through (1, e-3) and another point on the curve y = x?e-3* for x > 0. If you were to find the maximum slope of such a line, what function would you maximize? 4) Express this function in terms of x. That's it. Do not solve this problem.

Q: An island is 2 miles due north of its closest point along a straight shoreline. A visitor is staying…

A:

Q: According to one model of bird flight, the power consumed by a pigeon flying at velocity v (in…

A: The power consumed by a pigeon at velocity (v) is given as,

Q: 2. An orange grower has 400 crates of fruit ready for market and will have 20 m day the grower…

A: We will create function and use derivative to maximize it

Q: 3. Find two positive numbers whose product is 100 and whose sum is a minimum.

A: Let the numbers be x,y According to question = x*y =100                     y = 100/x  Sum of…

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

A:

Q: A strawberry farmer will receive $34 per bushel of strawberries during the first week of harvesting.…

A: We are given that a strawberry farmer will receive $34 per bushel of strawberries during the first…

Q: A coral reef is 2 miles due south of its closest point along a straight shoreline. A visitor is…

A:

Q: Calculuate the length of the curvey = 4√2 3 3|2 within the interval of 0≤x≤ 1,

A:

Q: Please show me how to find the x value.

A:

Q: A 310-unit hotel is trying to determine their daily rates. From experience, the hotel manager knows…

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 350-unit hotel is trying to determine their daily rates. From experience, the hotel manager knows…

A: Given Number of Units: 350  Daily Room Rent: $94  Rent after increasing x dollars: 94 + x  Units…

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

A:

Q: A rectangular box of height y having a square base with sidelength x is to be made. If the area of…

A:

Q: A manufacturer's total cost equation per day is given by the equation TC = 440+4q+,00010². If each…

A:

Q: Find the absolute maximum and absolute minimum values off on the given interval. Ax) = (x²-1)°,…

A:

Q: 2. The Minimum point of y= 320

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: 4=-Y36x-4)'+2 (4,2). Equation #15 maximum or minimum

A: Given function is,

Q: A four wheel-drive vehicle is transporting an injured hiker to the hospital from a point that is…

A: Consider the given figure.

Q: Find the coordinates of the maximum point. 4 In x +4 y=

A:

Q: According to data, the accident rate as a function of the age of the driver in years x can be…

A:

Q: a. If she walks at 3 mi/hr and rows at 2 mi/hr, at which point on the shore should she land to…

A: Given: A boat on the ocean is 4 mi from the nearest point on a straight shoreline; that point is 6…

Q: An island is 2 miles due south of its closest point along a straight shoreline. A visitor is staying…

A: Model the given problem as below.

Q: Where does A(x) have a maximum? Explain why that answer is what you should have expected.

A:

Q: A piece of wire of length 67 is cut, and the resulting two pieces are formed to make a circle and a…

A:

Q: A visitor is staying in a cottage that is 10 miles east of the closest point on a shoreline to an…

A: Given A visitor is staying in a cottage that is 10 miles east of the closest point on a shoreline to…

Q: A rectangular box of height y having a square base with sidelength x is to be made. If the area of…

A:

Q: A company handles an apartment building with 50 units. Experience has shown that if the rent for…

A:

Q: A textbook publisher has determined that the demand equation for a particular book is q = -6p +…

A: The revenue function is the product of demand and the selling price per unit. To find the maximum…

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: Find a formula for the linear function with slope −3 and x-intercept 2.

A: Refer to the question.For the linear function with slope −3 and x-intercept 2, use the slope…

Q: A rock formation is 3 miles due north of its closest point along a straight shoreline. A visitor is…

A: Given A rock formation is 3 miles due north of its closest point along a straight shoreline. 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: A company handles an apartment building with So units. Experience has shown that if the rent for…

A: Solution of the problem as follows

Q: A strawberry farmer will receive $36 per bushel of strawberries during the first week of harvesting.…

A:

Q: 3. A line of negative slope through (1, 2) cuts off a triangle in the first quadrant. For which such…

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 fruit farmer finds that if she plants 50 trees per acre, each tree will yield 75 boxes of fruit…

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

Q: A strawberry farmer will receive $36 per bushel of strawberries during the first week of harvesting.…

A:

Q: Of all numbers whose sum is 54​, find the two that have the maximum product. That​ is, maximize…

A: we have to find the value of x and y when Q has maximum value. the solution is following.

Q: The cost per unit of producing a product is 280 + 0.2x dollars, where x represents the number of…

A:

Q: The demand for face masks is given by p =-3 In(x) + 10 with domain [1, 28] where x is the number of…

A: Given: The demand for face masks is given by, p=-3 lnx+10, with domain 1, 28 where x is the number…

Q: To prevent pests, an orchard can have no more than 9 times as many apple trees as peach trees. Also,…

A: To find the number of apple trees and number of peach trees which will maximize the revenue.

Q: A strawberry farmer will receive $30 per bushel of strawberries during the first week ofharvesting.…

A: A strawberry farmer will receive $30 per bushel of strawberries during the first week ofharvesting.…

Q: A strawberry farmer will receive $36 per bushel of strawberries during the first week of harvesting.…

A: Consider the given: Let x=The number of bushels of strawberriesp=The Price for a bushel of…

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…

Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.