1. y = log zx 2. 2y = log 5 x 3. y = In(2x) 4. y = log(-x)

Q: Solve x*+6r34y dx+ +3x=+y = (1 + logx)* dx²

A: Given differential equation, x4d4ydx4+6x3d3ydx3+9x2d2ydx2+3xdydx+y=1+logx2 This is a homogeneous…

Q: Suppose a population grows according to a logistic differential equation model. Its population in…

A: It is given that the population in years 2000 and 2001 is 500 and 1500 respectively and carrying…

Q: 3. Find syz for ys = In(x + yz) – xcoth-1 log ().

A: Given : Let us consider the given value as,  ys=ln(x+yz)-xcoth-1logzy

Q: 8. In V5x 3 y z2 9. log. V xt 10. loga Va b5

A:

Q: Suppose that a population grows according to a logistic model with carrying capacity 6000 and k =…

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Show that S log(sin x) dx = -log 2.

A: To show that ∫01logsinπxdx=-log2 using the given figure.

Q: The simplified form of In(÷-) using logarithmic rule is yz 4ln x+ In y- In z 4 In x- In y-In z 4ln…

A: The objective is to simplify the given expression using logarithmic rule. The given expression is

Q: 1. logx = 2 %3D 2.ln(x + 1) = 5

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Q: Find if z = log2 y – 6 log5 y. dy dz dz In- dy y In 10 dy y ln 10 Option 1 Option 4 64 dz In- 64 dz…

A: We know, ddxlogax = 1x·ln a a·ln b = ln ba ln a - ln b = ln ab

Q: Which of the following functions grow faster than ln x as x→∞?Which grow at the same rate as ln x?…

A: Let f(x) = ln x) and g(x) = e-x Let f(x) and g(x) be positive for x sufficiently large,  a) f(x)…

Q: An investor deposits $8000 into an account that pays 6% compounded continuously and then begins to…

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Q: Which of the following functions grow faster than ln x as x→∞?Which grow at the same rate as ln x?…

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Q: 4 Evaluate (logyx)'., having given, 1 1 y = log1,x + ; log,0x + log10x + . 00 1+3+5+ ..+ (2y - 1) 20…

A: We have to solve given problem:

Q: The number N(t) of people in a community who are exposed to a particular advertisement is governed…

A: Given that Nt represents the number of people who are exposed to a particular advertisement. The…

Q: Differentiate. y= 11* . log 7x dx (11*. log 7x) =O

A: Given that

Q: Suppose that you now have $10,000 and that you expect to save an additional $4000 during each year,…

A: Given that, You now have $10,000 and that you expect to save an additional $4000 during each year,…

Q: 9. Condense (log4x – log4y)+2 log4(x+1) into a single logarithm with a coefficient of one.

A: Explanation of the answer is as follows

Q: The total number of reported cases of an illness in a large city tt days after the start of an…

A: Given the logistic differential equation is: y'=15600y1400-y…1 The standard form of a logistic…

Q: Find dy/dx if y=log(-4x^2+2)

A: To find the dy/dx of the given function.

Q: (b) 5" (2 – cot 5")(1 – csc 5“) dx SC 11 – 2 log x (c) / dx JIV6 log r – logʻ 1 x/6 log x -

A: You have asked Only part b and c

Q: 2. If the rate of transmission of an additional case of covid-19 is 0.3 per day starting February…

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Q: 1. In 2x - 21n/2y³ + In(xy)² as a single logarithm.

A: since you have posted multiple question i can do first question as per pur company guidelines please…

Q: dx Evaluate log - 1+ax 1-ах

A:

Q: Find d/dx(2^x) Type ln(x) for the natural logarithmic function.

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Q: 1. y = e9z-5 2. y = 2x ln(x +2) 3. y = (2x – 5) log(3x² – 6æ)

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Q: If logx = 4 and logy =7, then the value of -log is %3D xy

A: Given, logx = 4  and  logy = 7 We have to find the value of  -log1xy.

Q: 19) 3 log x + - log y - log z

A:

Q: y=10x log10 X differentiate?

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Q: Combine into a single logarithm. In(x – y) – 2 In(x² + y²) OIn (x-y)3 In (x²+y²)* In Va-y) (x²–y²)?…

A:

Q: - y =log x² dy_ 8log, x A. dx dy 4log, x В. dx dy _ 4xlog, x xIn 2 dy 8x log, x D. dx xln2 xIn2 dx…

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Q: Solve the differential equation Y=3x+logP

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Q: Suppose that a population grows according to a logistic model with carrying capacity 6300 and k =…

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Q: 7. Differentiate y = log10 (x² + 1)² b. 4xlog10e x²+1 a. 4x(x² + 1) c. log e(x) (x² + 1) d. 2x(x² +…

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Q: 2) y= log, (-4x +6)+ 4 2 +6 1) у3D 4) y= In (4x – 10) – 6 e+10 3) y =

A: SOLUTION- Since you have posted a question with multiple subpart , we will solve first three for you…

Q: Please Find the general solution to the differential equation x'''+x''+x'+x=0

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Q: Differentiate. y = 12* • log 6x d x (12*- log ex) = D 6x) = [ %3D dx

A:

Q: Differentiate. y = 10 log 3X %3D d dx (10*. log 3x) =D • log

A:

Q: 6) If u = log (x² + y²), then prove that log (x² CSScanned with CamScanner dydx ôxôy

A:

Q: It is expected in traditional mathematics that when you input data into a well-defined equation you…

A: As per the question we are given the logistic equation : xn+1 = f(xn) = rxn(1-xn) And we have to…

Q: 7. Find y'. y = log, (9– x-x)

A:

Q: 10 logat 1) y = -

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

Q: B. Express as a single logarithm and, if possible, simplify. 1. log, x + 4 loga y - 3 log, x 6.…

A: According to our company's guidelines I can only answer first three subparts of the question B since…

Q: 3. Find syz for ys = In(x + yz) – xcoth- log ()-

A:

Q: The number N(t) of people in a community who are exposed to a particular advertisement is governed…

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Q: 1+logx 2. =D1. %3D 1. 196 16. Solve for x, 5-log:

A: We have to solve for x .

Q: 4. Show that sinh-1 x = log(x + vx² + 1).

A: We have to prove the result.

Q: 3. 3y +1 = y – 1 4. logx = log 40 – log (x – 3)

A: The objective is to solve the above equations.

Q: 4. y = log v2x + 55. y = In(2x + 1)*6. f(x) = In(x +3)* %3D

A: topic - derivative of a function

Q: Recall that the Logistic Growth Equation is given by P'=k P (M-P), where M is the carrying capacity…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…