Q: Find dy/dx by implicit differentiation 2x3 +x2y -xy3 = 2
A:
Q: Five mice in a stable population of 500 are intentionally infected at r= 0 with a contagious disease…
A:
Q: find the derivative of the log functions: y = ln(x√x2 – 6) f(x) = ln(2x/x+1)
A:
Q: Integrate 01-In x + C о √(5-2) x – 10 ln |x| X - - - 1 10 In |x| 2 25 Olnx-25x + C ▬▬▬▬▬▬▬▬ X dx. +C…
A: Topic = Integration
Q: The population y(t) grows continuously and follows an exponential behavior over time. Its…
A: We have to find the differential equation to describe growth of population y(t).
Q: A radioactive material is known to decay at the rate proportional to the amount present. If…
A: Given A radioactive material is known to decay at the rate proportional to the amount present.…
Q: Find dy dx by implicit differentiation. tan−1(4x2y) = x + 5xy2
A: tan−1(4x2y) = x + 5xy2 We differentiate both sides with respect to x using the product rule and…
Q: Find the general antiderivative of each function. (can check by taking the derivative) F(X)= 12x3…
A: F(X)= 12x3 +3CSC2X- 5√x - 4π ∫F(x) dx = ? Important points: 1. ∫xndx = xn+1n+1 + c2. ∫cosec2x =…
Q: 5. Second derivative of y = 1+t)< t2
A: Given: y = 1+t2t2 To find: Second derivative of the given function.
Q: find the second derivative of y=ln(e^x+e^-x)
A: Given query is to find the second derivative of the expression.
Q: The Chernobyl incident was the worst nuclear disaster in modern history. In 1986, a combination of a…
A: In the question it is asked to calculate the period of time after which the Chernobyl will be…
Q: For y=ln2x, determine the equation of a tangent line parallel to 2x-3y+1=0
A: here we find the equation of a tangent which is parallel to 2x-3y+1=0. y=mx+c slope = m.
Q: When we take measurements of the same general type, a power law of the form y = αxβ often gives an…
A:
Q: Find dy/dx by implicit differentiation. 9x3 + x2y - xy3 = 1
A: Given that: 9x3+x2y-xy3=1
Q: In monitoring the blood alcohol content of a person, the bloodstream, which is composed of 5L of…
A: We will formed a differential equation and then solve it to get amount of blood
Q: Find the antiderivative of antiderivative of x2(ln(10x))2
A:
Q: The population of Amoeba Proteus is known to grow at a rate proportional to the amount present in a…
A: Given problem:- The population of Amoeba Proteus is known to grow at a rate proportional to the…
Q: s projected that x years from now the population of a certain city will be changing at the rate of…
A:
Q: John is an epidemiologist. He is tasked to determine the rate at which the total average of COVID…
A:
Q: In monitoring the blood alcohol content of a person, the bloodstream, which is composed of 5L of…
A: Given: Bloodstream is composed of 5L of water The rate of single inflow, by absorption of fluids…
Q: in differentials of functions, if x change by a small amount dx then, what will happen to y?
A: Let a function be y=fx then here y is the dependent variable and x is the independent variable. The…
Q: 11) Find the first derivative of y = (lnx) 4
A:
Q: ① Solveing dy - - x dx = 。 ㅎ
A:
Q: Derermine The FirST derivative of : 千irsT OF F) = x³ .16 V5メ-2 こSioN Expa usiNG Logalith mic Ex…
A:
Q: Find dy/dx by implicit differentiation. x4 + yA 5
A:
Q: The growth rate of population of a city is known to be equal to 20% of the current…
A: According to the given information it is required to find the number of years it will take to double…
Q: nown to grow at a rate proportional
A:
Q: Find the first derivative of = (ln x)* 4 y
A: From the given function; y=lnx4 We know that; The Power law: ddxxn=nxn-1 The chain rule:…
Q: 7 dy if Use implicit differentiation to find 8. dx dy dx +
A:
Q: Integrate ∫(ln(x))/x
A: We need to integrate the given logarithm function:
Q: Find the differential equation of the families of curved where, parabolas with vertex on the X-axis…
A:
Q: Find the derivative of the function. s(x) = ln(4x − 4)1.4 s'(x)=
A:
Q: A 100,000 liter tank of pure water was accidentally mixed with a 7000 liters of salt with a…
A: 1st we will make a differential equation for amount of salt in the tank and then will solve it to…
Q: when we determine the highest derivative in a differential equation, we are actually determining the…
A: According to the question, we have to check the statement either it is true or false and the…
Q: If x and y are measurements of certain parts of an organism, then the rate of change of y with…
A: Formula used: The differential equation can be equivalently expressed in the form g(y) dy=f(x)dx…
Q: Find the derivative of the function y, below. 9x(ln x + In 2) – 8x + v2 %3D
A: first, simplify the function y=9xlnx+ln2-8x+2 y=9xlnx·2-8x+2 y=9xln2x-8x+2
Q: solve the first and second derivative of Y= (1+lnx) / x
A: If y=f(x), then the independent variable x is called the input of the function, and the dependent…
Q: find derivative 1.y = ln (cos^2 u) 2. y = ln (3te-t) 3. y = e^(cos t + ln t)
A: Differentiating y=ln(cos2u) with respect to u using the chain rule.Consider t = cos2u then y =…
Q: A quantity with an initial value of 310 grows continuously at a rate of 8.5% per second. What is the…
A:
Q: proportional
A: We will solve the problem.
Q: In monitoring the blood alcohol content of a person, the bloodstream, which is composed of 5L of…
A: To determine the equation to determine the amount of alcohol in the body at a time.
Q: 3 +Ve³ .2 3x e: f(x) =
A:
Q: 1 erivative of x²+2
A:
Q: Suppose that news spreads through a city of fixed size of 800000 people at a time rate proportional…
A: Total number of people in the village are =800000. No. of people who have heard the news after t…
Q: Find y'' by implicit differentiation. 5x2 + y2 = 4
A: Implicit differentiation
Q: In a certain tropical forest, “litter” [dead vegetation like leaves and vines] forms on the ground…
A:
Q: A radioactive material decays continuously at a rate proportional to the amount present. After 2…
A:
Q: A team of biologists stocked a lake with 100 fish of one species to conduct an experiment. They…
A: Given that initial number of fish is 100 and rate of increase of population of fish is directly…
Q: Suppose there is a population of rabbits that (when left alone) experiences population growth at a…
A: Proportionality is between two variables when when they yield fixed ratio, with certain constant…
Step by step
Solved in 2 steps