The average cost per unit C (x) to produce x units of wood panels is given by C (x) = 1,200 / x +40. What is the cost of 20 units?

Q: The Corona Virus, that started to spread in many countries in early 2020, is more contagious than…

A: It is given that: Infection rate = 10 to 25 people per million (PPM) Mortality rate = 1000 to 2500…

Q: /25 – x² (-2x) dx 11.

A: 11. According to question,Given integral,∫25-x2-2x dx

Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

A: (b)

Q: The rate of growth of profit (in millions) from an invention is approximated by P'(x) =xe x, where x…

A:

Q: Evaluate [(e²/² - x)(e²/² + x) dx. Show your work.

A:

Q: 4. f Inv9 - x2 dx - integration by parts

A:

Q: 2. S (x * - x³ -3x) dx V4

A: Explanation of the answer is as follows

Q: The monthly output of a certain product is Q(x) = 1200x5/2 where x is the capital investment in…

A: Solve by differentiation

Q: 5. S (3x-x²)dx x2

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: · 8 Find f(x) dx = 5 (5 f(x) – 6) dx 8, and

A: Given ∫211f(x)dx=5∫25f(x)dx=6∫811f(x)dx=4

Q: tunx dx

A:

Q: A company finds that the total cost of manufacturing a units of a certain product is given by C(x)…

A: We will find the required information as shown below

Q: The derivative of a function F(x) is f(x)=4x3. If F(x)= 10, what is the constant of integration? a.…

A: Topic:- function And its antiderivative

Q: What values of a and b maximize the value of (x-x²) dx.

A: Find your answer below

Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A: We can use the application of derivative in order to solve the given problem.

Q: 7). Sx² sech x³ dx 3

A:

Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A:

Q: X 4. f* - 2x² - 6x +1 2 x² - 2x-8 dx

A: We have to find the integral.

Q: x(x²-x+2) dx is equal to 3

A:

Q: The duration (time in hours) of dialysis required is modeled by the function y = In(1.5x + 0.5/9x² –…

A:

Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A: Given:

Q: Solve equation for x. e-x = 1

A: Given equation is e-x=1 To solve the equation for x. Solution: Equation is e-x=1. Taking logarithm…

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A:

Q: The concentration of an antihista-mine in the bloodstream of a healthy adult is modeled by C = 12.5…

A: 6 hour period means from t=0 to t=6That is from start of the medication  to 6 hours after medication…

Q: World consumption of lead is running at the rate of 4.7e0or million metric tons per year, where t is…

A:

Q: evaluate the integral.

A:

Q: When no more than 110 units are produced, the cost of producing y units is given by C(x). C(x) =…

A: Given problem is :

Q: Solve for x without using a calculating utility.  ln(4x)-3ln(x^2)=ln2

A:

Q: The total cost of producing x shirts is: C(x) = 6000 + 30x, %D in dollars. Find the rate at which…

A: Differentiate the cost function to calculate the rate of change of cost.

Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A:

Q: The monthly output of a certain product is Q(x) = 2600x5/2 where x is the capital investment in…

A: The monthly output of a certain product is  Q(x) = 2600 X5/2 Where x is the capital investment in…

Q: f(x) = (2x2 – 5x)ln(x² – x) f'(x) = ?

A: Product Rule ddx(h(x)g(x))=ddx(h(x))g(x)+h(x)ddx(g(x)) Chain Rule ddx(h(g(x)))=ddhu(h(u))ddx(g(x))…

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A: NOTE: Refresh your page if you can't see any equations. . the cost function is the average cost…

Q: determine the instantaneous rate of change at x = 2 for f(x) = 5x2 + 3x + 7

A: Topic :- Differentiation

Q: 1.A culture has y,number of bacteria. At time t=2 hours, the number of bacteria is measured to be…

A: Given, Initial number of bacteria is y0. also, given at time t=2 hours, the number of bacteria is…

Q: Find the average rate of change of g (x) = 3x – 2x from x=3 to x=7. Simplify your answer as much as…

A:

Q: The monthly output of a certain product isQ(x) = 2400x5/2where x is the capital investment in…

A: The monthly output of a certain product is Q(x) = 2,400x5/2, where x is the capital investment in…

Q: Given the revenue and cost functions R(x)=34x−0.3x^2 and C(x)=6x+14, where x is the daily​…

A:

Q: Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to his house,…

A: Given that Angelo, who is in a rowboat 2 kilometers from a straight shoreline wishes to go back to…

Q: .6 6 If | F(x)dx=12, what is the value of | f(6– x)dx?

A: Using property of definite integration.

Q: A projectile is launched upward from a height of 720feet with an initial velocity of 64ft/s.The…

A: From the given information;A projectile is launched upward from a height of 720 ft with initial…

Q: 16 / #(x²)dx if f(x)dx = 7. Find Enter the exact answer. xf (x² )dx = -4

A:

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A:

Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A: It is minimum average cost per unit problem.

Q: 2x dx x2 + 2x + 5

A:

Q: 5 dx is: V4-x2

A: Given:  Let I=∫54-x2 dx To Find: To evaluate the given integral.

Q: solve for y in terms of t or x, as appropriate ln (y - 1) - ln 2 = x + ln x

A: Given equation, lny-1-ln2=x+lnx

Q: A tank with a capacity of 300 litres initially contains 150 liters of pure water. Brine contains 3gm…

A: Solve the question 1 Capacity of tank=300litres Amount of pure water in tank initially=150litres…

Q: In an autocatalytic chemical reaction, the product form is a catalyst for the reaction. If Qo is the…

A:

Q: egral f x²+x+2 dx (x-1)(x²+5)

A:

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.