A new fast-food firm predicts that the number of franchises for its products will grow at the rate di where t is the number of years, 0

Q: A new fast-food firm predicts that the number of franchises for its products will grow at the rate…

A: Given,

Q: as x increases uniformly at the rate of 0.0017 feet per second, at what rate is the expression (1+x)…

A:

Q: A culture of yeast grows at a rate proportional to its size. If the initial population is 4000 cells…

A: Let's find.

Q: Suppose that when a sense organ receives a stimulus at time t, the total number of action potentials…

A:

Q: A new fast-food firm predicts that the number of franchises for its products will grow at the rate…

A:

Q: if two resistors with resistances R1 and R2 are connected parallel, then the total Resistance R…

A: Given,

Q: The projected rate of increase in enrollment in a new college is estimated by dE/dt= ( at+1)^-1(…

A: Given the projected rate of increase in enrollment in a new college is dE/dt= ( at+1)^-1( a+1). We…

Q: Suppose the quantity (in grams) of a radioactive substance present at time t isQ(t) =…

A: Radioactive substances have different rates of decomposition.

Q: 2. Suppose that at some time t the mass of the tumor, M(t), is between 0 and K. What is the sign of…

A: We need to find sign of rate of change of M.

Q: An 80-kg skydiver jumps out of an airplane (with zero initial velocity). Assume that k = 12 kg/s…

A: The skydiver's velocity is governed by the differential equation: And the solution to this equation…

Q: Suppose the population of a colony of ants grows at the rate P'(t) = 1 +   5 /(√ t + 1)   If…

A: Given, P'(t) = 1 + 5t+1 when t = 120 hours  then P(t) = 250  Thenm  when t = 0 hours then P(t) = ?

Q: A 200-gal tank is half full of distilled water. At time t = 0, a solution containing 0.5 lb /gal of…

A: Given that the size of the tank is 200 gallon. Half of it is full, that means 200/2=100 gallon is…

Q: A company estimates that its revenue grows continuously at a rate given by R'(t)= 2e^2t, where t is…

A: By Using simple integration

Q: Find the rate of change of total profit, in dollars, with respect to time where R(x) = 4x and dx…

A:

Q: Q4/ If z = Vx² – y² and x increasing at 3.5 m/s, determine at what rate y must change in order that…

A: In the question it is asked to determine at what rate y must change so that z shall neither increase…

Q: new fast-rood firm predicts that the number or anchises for its produc Will grow at the rate dn =…

A:

Q: A population of insects increases at a rate of 200 + 10t + 0.25t2 insects per day (t in days). Find…

A: Given that, The population of insects increases at a rate of 200 + 10t + 0.25t2 insects per day. At…

Q: .

A: We will find the temperature.

Q: Suppose the velocity function of a particle is given by y = 2 – t - t2 at any time t ( time is in…

A:

Q: Because a new employee must learn an assigned task, production will increase with time. Suppose that…

A: To find the number of units completed in t hours by the new employee, integrate the rate of…

Q: Suppose the position function of a moving object is given by s (æ) = Væ. Then the average velocity…

A: Given that: To find:

Q: If two resistors with resistance R1 and R2 are connected in parallel, the total resistance R in ohms…

A:

Q: At time t = 0, a seed is planted Aftert weeks, the height of the plant is given by f(t) = 0.3t² +…

A: After t weeks , the height of the plant is ft=0.3t2+0.6t+0.5 inches Find the rate of plant growing…

Q: 1 If a spherical drop of liquid evaporates at a rate proportional to its area, if initially its…

A: Let the surface area be A So rate of evaporates is dA/dt, According to the question, dVdtαAdVdt=-kA…

Q: 1. (a) If V is the volume of a cube with edge length x and the cube expands as time passes, find…

A: Topic = Derivative

Q: b) Sand is leaking from a bag in such a way that after t seconds, there are s(t) = 50 (1 – 5 3…

A:

Q: d) Prove that the rate of growth, dt is given by NP (500 N) %3D dt 4000

A:

Q: You are a process control engineer in a water purification plant. In a certain subprocess, water…

A: Mathematical methods used to solve equations or evaluate integrals or solve differential equations…

Q: A population of E. coli bacteria will grow at a rate given byw′(t) = (3t + 2)1/3,where w is the…

A: Given: w't=3t+21/3

Q: Suppose a quantity described by the function y(t) = y0ekt, where t is measured in years, has a…

A: yt=y0ekt The quantity has a doubling time of 20 years. That is, yt=2y0 when t=20.

Q: As x increases uniformly at the rate of 0.002 feet per second, at what rate is the expression (1 +…

A:

Q: Because of job outsourcing, a town predicts that its public school population will decrease at the…

A: Given,           Because of job outsourcing, a town predicts that its public school population will…

Q: at the rate of r (t) = 3t liters per minute, where t is the time in Which of the following defines a…

A:

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

A: Given that, A certain population of microorganisms grows at a rate proportional to the amount…

Q: b) Sand is leaking from a bag in such a way that after t seconds, there are S(t) = 50 (1 –9 * pounds…

A: Given:-Snad is leaking from a bag after t second isS(t) = 501 - t2153(a) Put t = 0 to find…

Q: b) Sand is leaking from a bag in such a way that after t seconds, there are S(t) = 50 (1 – 3 pounds…

A:

Q: A new fast-food firm predicts that the number of franchises for its products will grow at the rate…

A:

Q: If two resistors with resistances R1 and R2 are connectedin parallel, as in the figure, then the…

A: If two resistors with resistances R1 and R2 are connected in parallel, then the total resistance R ,…

Q: A point moves along the curve y = x ^ 3−3x + 5 so that x = 1/2√t + 3, where t is time. At what rate…

A: Given- y=x3-3x+5 and x=12t+3 To find- The rate of changing when t=4. Concept Used- dydt=dydx·dxdt

Q: You are a process control engineer in a water purification plant. In a certain subprocess, water…

A: Given that the flow is maintained such that qi-q0>0 and their difference is the product of the…

Q: A particle moves along the x-axis with velocity given by v(t) = 6t² + 1 for time t > 0. If the…

A:

Q: In some chemical reactions,the rate at which the amount of a substance changes with time…

A:

Q: A new fast-food firm predicts that the number of franchises for its products will grow at the rate…

A:

Q: .................... ..................... A new fast-food firm predicts that the number of…

A:

Q: 17 It is found that the bloodstream concentration, C (in ug/mL), can-be modeled by C(r) T2 + 11…

A: According to the our guidelines we are supposed to do only first three subparts. Kindly repost the…

Q: A new fast-food firm predicts that the number of franchises for its products will grow at the rate…

A: Given that, dndt=6t+1 where t is the number of years, 0≤t≤15

Q: A particle initially situated at the origin moves along the x-axis so that its acceleration at any…

A: Integrate the expression a(t)=2t-7 to find the velocity of the particle.…

Q: Show that an investment that pays out R dollars per year continuously for T years has a PV of R(1…

A:

Q: If f(x) = 5x -3 , compute the instontoneus rate of change of Sx) at x-2. OA -3/49 O8.7/41 oc-7/41…

A:

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.