Sį : -8(y – 2) = (x – 1)² S2 : y + z = 2 S3 : x = 0 S4 : y = 0 S3 : z = 0 %3D

Q: dN F(V)dV = = 4x(- N -3²v² exp(= `2 TRT ` 2RT AP(- where dN, the number of particles having a…

A: Given: F(V)dV=dNN=4πM2πRT32V2expMV22RTdV Now, V2=∫0∞V2f(V)dV         =∫0∞V2 4πM2πRT32V2expMV22RTdV…

Q: A 20-gallon barrel is filled completely with pure water. Salt water with a concentration of 0.3…

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Q: The exact differential d(xy)= xdy+ ydx , what is the d( = 4x°y'dy + 2.xy*dx . хdу — ydx The exact…

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Q: The combined electrical resistance R of two resistors R1 and R2, connected in parallel, is given by…

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Q: What is the rate equation for mixture problem where inflow and outflow rates r are equal and V is…

A: Let A(t) be the amount of chemical at time t and V(t) be the volume of the mixture at time t. Then,…

Q: 6. A 50L tank initially contains 5L of brine solution where 3kg of salt have been dissolved. At t =…

A: Let amount of salt at time t be denoted by s(t). Let volume of water at time t be denoted by v(t).…

Q: 1. A tank initially contains 50 gallons of pure water. At t=0, a brine solution containing 2 lb/gal…

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Q: Related Rates: Find dy when x = dt -2, given y = x2 - x and “* =0.01 dt

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Q: :-In an oil refinery, a storage tank contains 200 gal of gasoline that initially has 100 Ib of an…

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Q: 10. A 5-lb roast, initially at 50'F, is put into a 375'F oven at 5:0OPM; it is found that the…

A: Rate of increase in temperature is directly proportional to negative of  time…

Q: A tank initially contains 50 gal of brine in which there is 10 lb of salt. Starting t = 0, a brine…

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Q: 2. The tank shown below contains 80 lbs of salt dissolved in 500 gal of water. The inflow per minute…

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Q: A fluid initially at 100°C is placed outside on a day when the temperature is –10°C, and the…

A: NOTE: Refresh your page if you can't see any equations. . newton's law of cooling is given by…

Q: A conference room has a volume of 4500 cubic feet. Initially, the air in the room has no Carbon…

A: Given: The initial amount of carbon monoxide-free air is 4500 cubic ft. Let y(t) be the amount of…

Q: d) A population of size x is decreasing according to the law dx -x dt 250 where t denotes the time…

A: The solution is given as

Q: dy/dx = (x-2)e^(-2y) satiafying the initial condition y(2)=ln(2) Find y as a function of x

A: Seperate the x terms and y terms to different sides and integrate on both sides.

Q: p (Pa) 4.0 x 10아 a 2.0 x 10아 V (m³) 0.001 0,002 0.003 0,004

A: 13 moles of monatomic ideal gas undergoes a thermodynamic process from point a to point c, as shown…

Q: Water flows from an inverted conical tank with circular orifice at the rate dx *= -0.6zr*/29 where r…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: The rate of cooling a metal ball can be expressed as dT 3D - k(Т — Та) dt Where T= temperature of…

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Q: A student with a third floor dormitory window 32 feet off the ground tosses a water balloon straight…

A: av(t) = (-32t+16) feet/secInitial distance = s0 = 32Now, vt = dstdt⇒st = ∫vt dt          =…

Q: 1 1 R1' R2 R At what rate is R changing when R, = 31 ohms and R2 = 72 ohms? (Round your answer to…

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Q: A tank contains 1 kilogram of salt dissolved in 100 liters of water. A salt solution of 0.1 kg…

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Q: B: Use Euler method to find the amount of salt in the tank shown below after 2min with initial…

A: Please check step 2 for the solution.!

Q: The dimensions x and y of an object are related to its volume V by the formula V = 6x°y. dV related…

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Q: (b) Using Runge-Kutta forth order method, find y for x = 0.1 and x = 0.2 of the initial value ODE =…

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Q: dp = -KıpY where ki + 0 where y is the specific heat constant and ki is a constant. Show that dz Q…

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Q: 95. The Michaelis-Menten equation for the enzyme chymotrypsin is 0.14[S] v = 0.015 + [S] where v is…

A: The derivative of the term:

Q: b) A population of size x is decreasing according to the law dx -x dt 250 where t denotes the time…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2. The tank shown below contains 80 Įbs of salt dissolved in 500 gal of water. The inflow per minute…

A: We can solve this by using the rate of change of amount of salt in the tank

Q: 10. (a) According to Fick’s law , the diffusion of a solute across a cell membrane is given by…

A: (a) given: According to Fick's law , the diffusion of a solute across a cell membrane is given by:…

Q: A tank initially holds 10 gal of fresh water. At t = 0, a brine solution containing ¼pounds of salt…

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Q: A 50-gal barrel is filled completely with pure water. Saltwater with a concentration of 0.3 lb/gal…

A: Given function is, Qt=151-e-0.04t.....(1) To determine the amount of salt in the barrel after 5…

Q: dy - (1+ 2x)y y(0) - 2.8 dx Q9. The value of y(0.5) using Euler's method with (h- 0.25) is equal to

A: We are given: dydx=(1+2x)y ⇒f(x,y)=1+2xy Let x0=0 yx0=y(0)=2.8 (Given) h=0.25 x1=x0+h=0+0.25=0.25…

Q: A large tank initially contains 150 gallons of fluid, with 6 pounds of salt dissolved in it. Brine…

A: Solved above given problem.

Q: The combined electrical resistance R of two resistors R1 and R2, connected in parallel, is given by…

A:

Q: Valuate% I-S(t sinzo} de

A: To evaluate the given integral.I=∫0π12sin 2θ2 dθ

Q: y-1)dx + (5-2x-y)dy = 0; y(0) = 0, implicit s

A: answer is in next step

Q: f(x) x2 – 1 increasing (VT,00) |(-x,v-1) decreasing constant DNE y 10 8. 4 2 (-1, 0) (1, 0) -10 -8…

A: Please refer the attached image for complete solution.

Q: The figure shows an 11-foot ladder leaning against a wall. (a) Use the Pythagorean theorem to find…

A: Answer

Q: Bt e' dt e integration by parts formula so tha 8te'+ [(ste ) « 8e Be') dt ete - [(8c") at

A: The integral is given as , ∫8 tet dt. Solving by integration by parts,  Apply the formula for…

Q: Describe how solutions appear to behave as t increases and how their behavior depends on the initial…

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Q: 6- The dimension of a solid rectangular at given instant ( to ) are (L = 13 cm) ,(W = 9 cm ) and ( H…

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Q: A tank initially holds 100 gal of brine solution containing 1 Ib of salt. At t=0 another brine…

A: Given that a tank initially holds 100 gal of brine solution containing 1 lb of salt.  At t= 0…

Q: Let C(t) be the concentration of a drug in the bloodstream. AS the body eliminates the drug, C(t)…

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Q: Example: In a reverberation room whose volume is 150 m3 and surface area is 190 m2, the…

A: Given that, Volume of the room, V=150 m2 The reverberation time at 500 Hz when the room is empty is…

Q: Laboratory department detects the concentration C of impurity of an oil purifier changes with time t…

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Q: = x²y - 1.1y dx using (a) analytical method, (b) 3rd-order to 5th order RK Method with h = 0.25 and…

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Q: The combined electrical resistance R of two resistors R, and R,, connected in parallel, is given by…

A: R1 and R2  are increasin g at the rates of 0.7 and 1.9 ohms per second where R1and R2 are…