9. Suppose you sell Dried Chile Mangoes and Biscochitos, each by the pound. Your profit function is given by P = 10x + 6y – .02x² – .01y² – 3, where x represents the pounds of chile mangoes sold and y represents the pounds of biscochitos sold. Now, say you want to see what would happen if, at your current level of sales (25 lbs of chile mangoes and 30 lbs of biscochitos) you added one more pound of chile mangoes. In other words, find the rate of change of profit with respect to chile mangoes when 25 lbs of mangoes and 30 lbs of biscochitos are sold. Now tell me what that means in the real world using complete sentences.

Q: 1. The y-intercept of the function y = 3(x + 19)2 – 27 is а. 334 b. -27 С. -8 d. 1056

A: We will find out the required value.

Q: III. Given g(x) = 2x² – 3 for x 2 0. 4. Write an equation for g-(x). %3D

A:

Q: The following is the cost function for natural gas for the city where Greg lives.  Greg's natural…

A: The cost function contains fixed cost and variable cost. Here the fixed cost is $16.74

Q: Suppose the profit, in dollars, for selling x units of a certain product is P(x) = - 76x + 1824x +…

A: Given that: P(x)=-76x2+1824x+61

Q: 1. f(x) = x3- 3x2 -9x-5

A: NOTE- Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: Dorothy is 6 years older than Ricardo. The product of their present ages is twice the product of…

A: This question is based on the ages of two people. Let present age of Ricardo is x so present age of…

Q: How many masks must Lakisha make a week to break even if her profit function is P(x) = 19x -500?…

A:

Q: The demand for a product, in dollars, is p = 1200 − 0.2x − 0.0001x2 . Find the consumer surplus when…

A:

Q: Carrie, marine biologist is performing experiments along the continental slope off of the coast of…

A: Now the speed of the current at the depth of the robot as a function of time is,

Q: When a company charges p per unit, it can sell 100 − 2p units. What is the revenue function?" I'm…

A: Given that:-price per item=punits of item sold=100-2pTo find: the revenue function

Q: 6. f (x) = x* - 1; c= 1

A: Solution )lim x → c f(x) = f (c) F(x) = x4 - 1  And c = 1  lim x → 1 f(x) = f(1) f(1) = 14 - 1  f(1)…

Q: 2. A squirrel is 24 feet up in a tree and tosses a nut out of the tree with an initial velocity of 8…

A:

Q: I like to take in account how much I’m going to set aside for savings that month as well as…

A: If a person saves $400 per month and spends $1000 on bills per month then let 'x' be the number of…

Q: Find dx2 e 2Y +x = 6y

A: differenciate given expression with respect to x

Q: If 9x/4y = 1 and y = 18 , what is the value of x?

A: Simplify the equation and put value of y we get the x,

Q: hich represe 4 units. y%3D(x+3)

A: Solution: The objective is to find the function that stretched vertically by a factor of 12 and…

Q: Identify the relationship that exists between the 2 variables. As the weather gets colder, air…

A: The statistical relation between two variables is called correlation.

Q: A house painter has found that the number of job that he has each year is decreasing with respect to…

A: Set year 2004 as x=0, tabulate the given data as: Year, X Average income per job, p(x) 0 430…

Q: 19. Express the equation (y + 4) = (x+3)² in the form y = a(x - h)2 + k, then identify a, h, and k.…

A:

Q: Find the maximum value of 5x2 - 4xy+ 8y subject to x+y? = 1..

A:

Q: 2 y?xdy dx

A:

Q: The cost function for a weekly manufacture of headphones is given by C(2) = 150, 000 + 20r + 0.012…

A: solution:-

Q: 9:(x+2)- 5Y = 6 %3D 11

A:

Q: A company is planning to manufacture mountain bikes. Fixed monthly cost will be $300,000 and it will…

A: Number of mountain bikes are x The variable cost of producing  each  mountain  bike is $ 200. So,…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.