' log2x dx 62.

Q: [2 2x log 2x dx

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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: log3 r + [Arcsin(5x)]³ 3

A: To find the derivative of given function.

Q: Suppose $500 is deposited into an account paying interest at a rate of 7%, continuously compounded.…

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Q: Find the integral: log7 X dx = %3D

A: Solve the following integral

Q: At what value(s) of x does ln (1 - x2) = x - 1?

A: We need to find the solution of the equation given by

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

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Q: Find the amount resulting in 12 years, if $25,000 is invested now at an interest rate of 4.25% p.a.…

A: Given that, P=25000, r=4.25%, t=12years

Q: Suppose $500 is deposited into an account paying interest at a rate of 7%, continuously compounded.…

A: Given, Suppose $500 is deposited into an account paying interest at a rate of 7% continuously…

Q: Find the time required for an initial investment of $2000 to reach $3500 if the interest is…

A: Topic- continuous compound interest

Q: log(x³) dx

A: Consider the integral: ∫logx3xdx…

Q: 25łn²(x) log (x) dx

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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: How long (in years) will it take a $200 investment to be worth $300 if it is continuously compounded…

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Q: How would I calculate the principle value of  ln(-ie)

A: Given, z=lne-i Convert e-i to polar form. For a complex number a+bi  polar form is given by,…

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

A: Given that

Q: How long will it take to triple $12000, invested at 4.5% compounded continuously? (A = Pe*t) %3D

A: We are given the initial value to be $12000 and rate r = 4.5% = 0.045. Now, we need to find that how…

Q: [32x + log (x) dx = %3D

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Q: $400 invested at 7% compounded continuously after aperiod of 3 years

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Q: ( 3x+log; x dx = ? ||

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Q: 1 7(t) = Vt + 8

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Q: S (log æ + – 5x) dx =?

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Q: Suppose the rate of net investment is given by I (t) = Lnt, find the total capital accumulation…

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Q: Solve x +y= logx dx

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Q: cos e Differentiate y =- using Logarithmic differentitation. nxV2x +1

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Q: Interest is compounded continuously at 5%.  How long until a $5000 investment grows to $12000?

A: Interest is compounded continuously at 5% $5000 investment grows to $12000

Q: The half-life of plutonium-241 is 13 years.  What is the decay constant?  Use the approximation…

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

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Q: Find the amount after 3 years if $ 1000 is invested at an intrest rate of 12% per year, compounded…

A: Given :             The amount invested is $1000.             Interest rate = 12% per year.…

Q: y=10x log10 X differentiate?

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Q: Following the birth of a child, a parent wants to make an initial investment P, that will grow to…

A: Given Initial amountP=P0 Interest rater=6%=0.06 Time t=18 years Future valueA=70,000

Q: log (x+8) ) dx 3

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Q: calculate the integral.

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Q: In2 log2x dx

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Q: If y = loge(sin x)? dx will be equal to dy

A: Given: y=logesinx. To find: dxdy Solution: Chain rule of differentiation states that:…

Q: Following the birth of a​ child, a parent wants to make an initial investment P0 that will grow to…

A: detailed solution is given below

Q: Since the data obtained as a result of 10 observations of an experiment is ∑ log niXi = 8.2431, what…

A: The geometric mean of this experiment is, G=Antilog∑logniXin=Antilog8.243110=Antilog0.82431≈2.2803

Q: "dog 1) ]* dx 8. x(1+log²x) 2

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Q: 2. How long will it take you to get ten times your money at 2% interest compounded continuously.

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Q: 0/= log10 (x) dx

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Q: dy Example 1: Solve x- +y= logx dx

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Q: If you invest $5000 compounded continuously at 4% p.a. how much will this investment be worth in 5…

A: The initial amount P=$5000 Rate of interest r=4%=4100=0.04 p.a. The time period t = 5 years

Q: ` log x dx

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Q: Find d/dx(4^x). Type ln(x) for the natural logarithm function.

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Q: log 4z a tall var I

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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?…

A: Definition:                                Let f(x) and g(x) be positive for x…

Q: 10 log 10 (10x) dx 1 10

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Q: When is ln x negative?

A: When is ln x negative?