This week, a factory is producing 50 units of particular commodity, and the amount of being produced is increasing at a rate of 2 units per week. If ?(?) dollars is the total cost of producing ? units and ?(?) = 0.08?^3 − ?^2 + 10? + 48, find the current rate at which the production cost is increasing

Q: A medication was administered and the function is, N(t) = 200 (0.85)^(t-1), which represents the…

A:

Q: 2/3x+1/2=2/5

A:

Q: At the end of each month, interest of 1.3% of the amount in an account at that time is added to the…

A: Since, you have posted multi parts questions but according to guidelines we will solve first three…

Q: G=4/5 - 1/3 x 2/15 + 4/45

A: We need to find value of G.

Q: 2. The number of bacteria in a Petri dish increases by 18% every hour. If there were initially 200…

A: Given data is : Number of bacteria in petri dish is increases r=18% every hour Initial bacteria in…

Q: (a) If a painter can complete a job in 4 hours, what is the painter's rate of work? ? of the job…

A:

Q: X/6-1/3=1/2

A:

Q: 3/x -1/3 =7/6

A: To determine the solution of the equation.

Q: 0.275x+0.725(500-x)=300

A: The given equation is,

Q: (a) Find f'(x). f'(x) = (b) Find the slope of the tangent line at x = 3 Slope = f'(3) =

A:

Q: 1. 2y"" Hardcore 0 7y"+12y + 8y

A: To solve the given differential equation.2y'''-7y''+12y'+8y=0

Q: (d) Can you think of other variables that might explain the variation in monthly rent?

A: Given: Size (square feet) Rent ($) 850 1950 1450 2600 1085 2200 1232…

Q: The cost, in millions of dollars, of a 30-second TV ad during the Super Bowl from 2015 to 2019 can…

A:

Q: 3. Solve: 8. 1. x+2

A:

Q: The 1986 explosion at the Chernobyl nuclear power plant sent 1000 kg of radioactive cesium-137 into…

A:

Q: The population of squirrels at the University of Waterloo campus experiences exponential growth…

A: If P=P(t), then the independent variable t is called the input of the function, and the dependent…

Q: 1.5(4-x) = 1.3(2-x)

A: Given,

Q: A certain plant grows of an inch for 4 1 of the year. At this rate, how 2 many years will it take…

A: Given that 34 inches grows for 12 of the years Therefore 1 inch grows  for  1234=12×43=23 years…

Q: Find the population of fish at 10 years if p(0) = 1000

A: Given, dpdt= et2 -300   We have  to Find the population of fish at 10 years if p(0) = 1000

Q: Calculate the value of -2x - if x =1/2

A: Given: x =1/2

Q: 1/x +3/2 = -4/7 + 6/(2 x) %3D

A: Let the given function is (1/x) + (3/2) = -(4/7) + 6/(2x).   Simply the step 6/2x = 3/x:   Then the…

Q: 2=1/2 - x/10

A: Here, the equation is given:

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.