Suppose P(x) represents the profit on the sale of x Blu-ray discs. If  P(1,000) = 7,000  and  P'(1,000) = −8,  what do these values tell you about the profit? P(1,000) represents the profit on the sale of  _____________Blu-ray discs. P(1,000) = 7,000, so the profit on the sale of _______________ Blu-ray discs is _______________$  . P'(x) represents the rate of change of the profit  as a function of x.  P'(1,000) = −8, so the profit is decreasing at the rate of $_____________  per additional Blu-ray disc sold.

Q: At a crime scene, a forensic technician found the body temperature of the victim was 33◦C at 6:00…

A: Given body temperature of the victim was 33°C at 6:00 p.m.One hour later, body temperature of the…

Q: 9. The release of a fluorocarbons used in household sprays destroys the ozone layer in the upper…

A:

Q: The carbon monoxide level in a city is predicted to be 0.02x3/2 + 1 ppm (parts per million), where x…

A: The function is P(t)=0.02(12+2t)3/2+1

Q: 9. h(x) = (x2-4) (x2-1) 10. g(x) = %3D -5x-23x3-25x2-x+ 6

A: Given: The given curve is hx=x6-8x5+24x4-32x3+16x2. To find: The main aim is to sketch the graph of…

Q: A toxin is introduced into a colony of bacteria, and t hours later, the population of the colony id…

A: The given function is: N(t)=(7+3t)e-0.2t To find the time when the population begins to decrease.

Q: 1. GE = 2x – 7 and GF = x + 4. What is GD?

A: Given figure is: In △GBF and △GBE, we have ∠GFB=∠GEB                    Each 90°∠FBG=∠EBG…

Q: Let Q represent a mass (in grams) of radioactive thorium (449 Th), whose half-life is 7,340 years.…

A: Given: The half-life of radioactive theorem is 7,340 years. The quantity of thorium-229 present…

Q: 3s + 12 망 (s + 2s + 10) x(t) = L-1

A:

Q: Suppose it has been determined that the sales at a gallery decline after the end of an advertising…

A: Given daily sales by the function, S=70002-0.1x Find the daily sales 50 days after the end of the…

Q: 3. A certain radioactive material is known to decay at a rate proportional to the square root of the…

A: Please check step 2 and 3 for the solution.!

Q: There is a relationship between perceived corruption and human development in a country that can be…

A: Here we have given a relationship between perceived corruption and human development in a country…

Q: Radioactive decay can be described by the following equation In A = In Ao - kt where Ao is the…

A: Given :             ln A = ln Ao- kt  Ao= original amount of substance A= amount of substance…

Q: a. For what values of b>0 does b* grow faster than e* as x→00? ах b. Compare the growth rates of ex…

A:

Q: A study indicates that spending money on pollution control is effective up to a point but eventually…

A:

Q: %3| Find the value of k if the f(kx2 – 2x + 3)dx = 14.

A: Definite integration

Q: Radioactive decay can be described by the following equation In A = In Ao – kt where Ao is the…

A: Topic:-  exponential decaying function

Q: For the function f(x)= ab^x, what are the possible values for b if the function is an exponential…

A: Consider the given function fx=abx

Q: x2 - x +1 When you evaluate: dx The sum of the coefficient of X" for any constant n>0 is

A:

Q: Q1. A certain radioactive material is known to decay at a rate proportional to the amount present.…

A: Let x(t) be the amount of radioactive material which is present in milligrams after t years. Given…

Q: Radioactive decay can be described by the following equation In A = In Ao – kt where Ao is the…

A:

Q: The number of citizens of a certain modern city is known to increase at a rate proportional to the…

A:

Q: The number of citizens of a certain modern city is known to increase at a rate proportional to the…

A: The question is related to differential equations. The solution is explained below.

Q: A certain population of microorganisms grows at a rate proportional to the amount present under a…

A: To match the each item to thier appropriate choices for the following:To find the particular…

Q: At time t years, the population of a city is increasing at a rate of f(t) = 10e^(−0.2t^2) thousand…

A: Given ft=10e−0.2t2 (a) We have estimate ∫06ftdt  by trapezoidal rule with n=3. Here, a=0, b=6 and…

Q: The number of daily sales of a product was found to be given by S = 100xe-x + 100 %3D x days after…

A: (a)   Consider the function S(x) and the formula to calculate the average daily sales. Substitute…

Q: 3s+7, Find L'f 's2+9*

A:

Q: The barometric air pressure in inches of mercury at a distance of x miles from the eye of a severe…

A: Given:

Q: Radioactive decay can be described by the following equation In A = In Ao – kt where A, is the…

A: lnA=lnAo-ktk=2.17×10-2 hours-1Ao=59.4mgt=31.7 hours put all the values and fine A=?

Q: 3. At time t, a certain radioactive material is known to decay at a rate proportional to the mass,…

A:

Q: The monthly rent for the first house is $1, 190, and the Bainters can expect it to increase 1.7%…

A:

Q: The number of fish,  N, in a pond is decreasing according to the model N(t)=ab−t+40,   t(greater…

A: Here we have the decreasing model for the number of fish, N  N(t)=ab-t+40       (1) where a and b…

Q: 3. A hot pie that was cooked at a constant temperature of 325 °F is taken directly from an oven and…

A:

Q: Radioactive decay can be described by the following equation In A = In Ao – kt where Ao is the…

A:

Q: + x) at a = -2

A: The Taylor series of a function fx at a point x=a is defined as f(x)=∑k=0∞f(k)(a)k!(x−a)k where fna…

Q: The number of daily sales of a product was found to be given by S = 300xe−x2 + 300 x days after the…

A: Given,  The number of daily sales of a product was found to be given by    S = 300xe−x2 + 300  where…

Q: Example 3: Using data from the U.S. Census Bureau, the population (in thosands) of Detroit, Michigan…

A:

Q: The population of a certain city t years after 2000 is given by f(t)=40,000e0.02t.  a) What is the…

A:

Q: 3. The initial amount for J.W.'s new bank account is $2,500. The total amount in the bank account,…

A: Given data is :  Initial amount P=$2500   A6=$4000 Amount after t years is  At=25001+x12t12 Find the…

Q: Radioactive decay can be described by the following equation In A = In Ao – kt where A, is the…

A:

Q: In A = In Ao – kt where Ao is the original amount of the substance, A is the amount of the substance…

A: Solved below

Q: Suppose that 40 deer are introduced in a protected area. The population of the herd P can be modeled…

A: Given:

Q: You borrow $5000 today. The loan is due in 5 years, with interest at j1 = 7%. It is agreed that you…

A: Consider the given information.

Q: where P =n+p+h is the total population, and a and b are some real numbers (which you do not need to…

A: We are given the following information. The population has been divided into three categories:…

Q: The sales decay for a product is given by S= 80,000e^-0.3x, where S is the monthly sales and X is…

A: A) S(x)= 80,000(e^-0.3x) Given x= 2 S(2)= 8000×(e^(-.3*2)) S(2)= $ 4390.493089

Q: Radioactive decay can be described by the following equation In A In Ao- kt where Ao is the original…

A:

Q: Radioactive decay can be described by the following equation In A = In Ao - kt where Ao is the…

A:

Q: 47. f(x) = /4 – x², 0 s x< 2

A: 47Given that fx=4-x2   , 0≤x≤2Solution a if we find inverse of the function then we interchange x to…

Q: 4) g(x) 5 at x=3

A: Given,  g(x) = 15·13x at  x = 3 g(x) = 15·133 =15·133=15·127 =1135

Q: 5. P(x) = -3x- x³ + x² + x - 10 F(x) = 2x + x- 3x2 - 6 F(x) = x-x- x- 1

A: To find the number of zeroes and variations of polynomials.  According to our company's guidelines I…

Q: (2) A study indicates that spending money on pollution control is effective up to a point but…

A: The percent of pollution removal when x million dollars are spent is given by  as below: a. We need…

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.