6. x = (y/6) + 1/(2y) from y = 2 to y = 3 %3D

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

A:

Q: The population of a certain community is known to increase at a rate proportional to the number of…

A:

Q: 16. Find the average rate of change for y = x² –9x+20 from x=5 to x=7. А. З В. -3 С. 1/3 D. -1/3 E.…

A:

Q: d) A population of 100 bacteria decays at a rate of 5% each day How many bacteria, y, will there be…

A:

Q: A tank contains 300 gal of water and 100 gal of pollutants. Fresh water is pumped into the tank at…

A: Fresh water is pumped into the tank at the rate of 2 gal/min, and the well stirred mixtureleaves at…

Q: 1.S (3x5 – 2x – 5x – 3) dx 2.5 (y? – 1) (3+2y) dy 3.S V + 5VX³ dx

A: Dear student. Since you have posted many sub-parts, in our policy, i have answering the first…

Q: A tank initially contains a solution of 10 pounds of salt in 60 gallons of water. Water with 1/2…

A:

Q: a)How quickly is the water leaving the barrel over the first two seconds? b)Will the water drain…

A: The solution is given below in the next step:

Q: 7. Solve for dy/dx if x = 2 + t and y = 1 + t2

A: From the given problem: x=2+t;y=1+t2 As we know that the Power law: ddxxn=nxn-1 We know that:…

Q: 2. The number of bacteria at the beginning of an experiment was 30 and the bacteria grow at an…

A: Given  The number of bacteria at the beginning of an experiment = 30 hourly growth rate = 1.4%

Q: dy Find for 3(x2 + y²) ² = 100xy dx

A:

Q: 2 Consider the impact function of a certain drug, I = 0.25D/100 – D, with I a percentage and D in…

A: We will find out the required value.

Q: If f10,500 is invested fie 3 4ears at a rate of 9%.how much willyou have if interest Es compounded…

A: P=10500t=3 years.r=9%=0.09To find A

Q: 3. A mixture is transferred into a cylindrical container through a conical filter. If the filter is…

A: The volume of a cone: V=13πr2h Where, r  is the radius of the cone. h is the vertical height of the…

Q: Example 3: Estimate S, x² dx with n=4 by Midpoint Method. Solution:

A: Here first we will divide the integral range into 4 equal parts and then we will calculate the…

Q: Evaluate: e-y- [²" [m(x + y) - 7] dy dx In(x 0 x

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Q: Find the antiderivative of antiderivative of x2(ln(10x))2

A:

Q: -2x y" + (e by = 0 (e-* = z) -

A:

Q: Find the average rate of change of y with respect to x if x changes from 3 to 5 in the function y =…

A: The formula for average rate of change from a to b is : f(b)-f(a)b-a

Q: 8. ylnx – x In y = c - 9. y = ln (coth x) 10. y = sec³Vx

A:

Q: 2. The rate at which the number of bacteria in a culture is changing (in thousands of bacteria per…

A: As per our limit we can answer only the first question. If you want other questions to be answered…

Q: 2.2 Consider the impact function of a certain drug, I = 0.25D/100 – D, with I a percentage and D in…

A: Use average rate formula

Q: Suppose y varies at a constant rate of change of 4 with respect to x (so that Δy=4⋅Δx ), and when…

A: topic - linear equation in two variables

Q: Find the marginal revenue for producing x units. R = 70x – x2 dR dollars per unit %D dx

A: Given: the revenue function                R = 70x-x2

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

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Q: X = e not inelude th degreo QUmbelin

A: The triangle is shown in diagram ,

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: 14. Find the rate of change of y= (2x' +6x +4) at x =-1.

A:

Q: 1. S+1)dy y2+4

A:

Q: L{t – e-3t} = + s-3 L{t – e-3t} = =-- I. II. s-3 L{t – e-3t} = +3 L{t – e-3t} = III. IV. %3D s+3

A: We know the Laplace transforms Ltn=n!sn+1, s>0 L ea t =1s-a, s>a Now, Lt-e-3t=Lt-Le-3t L t…

Q: 2) A tank, which has a capacity of 100 L, is initially half full of a solution that contains 50g of…

A:

Q: 16. Find the average rate of change for y = x² –9x+20 from x=5 to x=7. А. 3 В. -3 С. 1/3 D. -1/3 E.…

A: Given function

Q: Estimate the value of E1 (1/n²) value. to within 0.01 of its exact

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Q: A radioactive element decomposes at a rate proportional to the amount present. The amount remaining…

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Q: marginal revenue

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Q: What is the rate of change of y with respect to x for 9x-11y+2=0

A: Given that 9x-11y+2=0 We need to find the rate of change of y with respect to x that is dy/dx.

Q: 3. Th e annual income of a person from China is $5100 and is growing at a rate of 8% per year. In…

A: The term per cent means for every hundred. A fraction whose denominator is 100 is called a…

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: dx 1. S. 2x-x2 if y = x° (In x)? . dx 3. S x³e-* dx . 2.

A: Note : as per our guidelines we are supposed to answer only one question if there are multiple…

Q: ·A machine is assumed to depreciate at the rate of 35.5% p.a. in valuc in the first year, a 22.5%…

A:

Q: The value of residual at y = 48 and x = 325 is = places)

A: Let x denote the number of pages.  It is given that The regression equation of y on x is y = 35.3 +…

Q: 4. Consider a lake of constant volume 12200 km³, which at time t contains an amount y(t) tons of…

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Q: (t) s(t) xt)

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Q: A deposit of $2000 at 2% interest compound continously will grow to v(t)= 2000e0.02t dollars after t…

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Q: Vaz x² S. (2) dy dx

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

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Q: In a chemical reaction, substance A decomposes at a rate proportional to the amount of A present. It…

A: This decomposition reaction of first order, because rate is directly proportional to the…

Q: If the rate of change of y with respect to x is equals to 2-y and y=8 and x=0. Find y when x=ln(2).

A: Given: The rate of change of y with respect to x  is equal to 2-y. That is, dydx=2-y

Q: The amount of decay of a certain radioactive element is given by -0.04t Yoe' where t equals time in…

A: The amount of decay of the radioactive element is given as follows. y=y0e-0.04t where t is the time…

Q: A culture of bacteria grows at a rate that is proportional to the present number. It is found that…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.