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Q: Let y = 2 ln x - 1/2x then the first derivative is....., the first order condition is..... and the…

A: Given: y=2 ln x-12x To Find:  To determine the first order derivative.To determine the first order…

Q: By using the definition of hyperbolic functions as exponential functions, show that sinh 3x = 3 sinh…

A: handwriting solution

Q: Sinha Sechct) At

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Q: 1 - cot(x) 5*tan(x) X,

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Q: Find the derivative of nln(cosu) . Where n=516

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Q: You have to find estimator by method of moments

A: We have to solve Problem (C)

Q: Compute sinh(ln 5) and tanh(3 ln 5) without using a calculator.

A:

Q: tion, what is the longest time within whic at the predator will have to spend more t

A: It is found that the time (in minutes) required by predator to find a prey is a random variable that…

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos4…

A: Given: y=cos4θ

Q: . Estimate dx with an error less than 10-3.

A: Series sum estimation:

Q: 43. Find the function whose tangent line has slope (x + 1)e¯* for each value of x and whose graph X-…

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Q: Find the derivative y=arctan(square root 1+x/1-x)

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Q: By using Mean Value Theorem, show that ln(1+x)  0

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Q: tanx (ln teory))

A: The solution for the above question is as shown below.

Q: Find the derivatives of following fucntion (logx)tanx

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Q: Find the critical value using the Chi-Squ

A: We have given that  1) level of significance( ?)= 0.025 And sample size n =29 NOTE:- According to…

Q: Find mean and second moment of X.

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Q: he surface al derivative

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Q: the e to ential.

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Q: sech (x*) tanhl 12.

A: 12. Given integral is ∫sech3(x13) tan h(x13) x23dx Let us make substitution to simplify the above…

Q: 6. Find 39th derivative of f(x) = sinh(x). A. sinh(x) B. cosh(x) C. – sinh(x) D. - cosh(x) None of…

A: Derivative of sinh(x) is Cosh(x) and  Derivative of Cosh(x) is Sinh(x).

Q: tion with 2 degrees of freedom. Find hree decimal places.

A: It is given that the t distribution with 2 degrees of freedom. We have to find c such that P(-c <…

Q: 8 Use right endpoints and 3 intervals to estimate S dx. 2

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Q: 2. Identify the derivative (9) based on the product rule ie, (G). Simplify to a single term.

A: Given ∂∂TGT

Q: Differentiate the following function.   y = ln(3x+1) - ln 3

A: We need to differentiate the following function.   y = ln(3x+1) - ln 3

Q: S x2tan (x³)dx

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Q: State the derivative rule for the logarithmic function ƒ(x) = logb x.How does it differ from the…

A: Given: fx=logbx for finding derivative of given function, first we convert it's base in e then…

Q: se Newton's Method to approximate 76 correct to six decimal places.

A: Given: 764 Formula used: xn+1=xn-fxnf'xn

Q: tion of the differe = e-x + x2 is

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Q: ar is exam. pility that th

A: The probability of producing defective cars given car produced by factory 1 is, PDF1=0.02 The…

Q: Prove: cosh 3x = 4 cosh° x x-3cosh.x

A: Prove that :- cosh 3x=4cosh3 x-3cosh x

Q: Use Newton’s Method to estimate 3√25 to four decimal places.

A: We have to find: So we consider a function We know that: 27 is close to 25, so cuberoot(25) will…

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos4…

A: Using chain rule to compute the derivative for y, consider the solution below.   First of all,…

Q: What's the derivative of ln(ln(ln(lnx^3)))

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Q: Most Grateful a little assistance with this question.  Thanks

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Q: The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain…

A: Given: Half life of Radim -225 =1590 a sample of 400mg how much of radium is left after 3000y

Q: 5, Find derivative y = Cott-tanx

A: We will find the derivative as following.

Q: 1 coth-

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Q: se limit methods to determine which of the two given functions grows faster, or state that they have…

A: Let f(x) = ex2 , g(x) = e10xIf limx→∞f(x)g(x)=∞ , then f(x) grows faster than g(x)If…

Q: Find the derivative of f(x) Give answer in exponential notation with positive exponents

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Q: The L'Hopital rule and The derivative of the exponential function. lim (ex + x³)*:

A: Use l hospital rule

Q: Solue this Logistic stochostic differentialegh where ajb,c constant wit) ;win er Process by using…

A:

Q: Calculate the derivative. y = In (tanh (5x)) (Express numbers in exact form. Use symbolic notation…

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Q: Find the first derivative by increment method. Show your complete solution. V12x – 3 Irolim Exam…

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Q: Find the equation of the tangent line to the graph of f(x) = In(-x) at x = x0 = -e'. =-e?. Equation:

A: As we know that the equation of the tangent line is: y-y1=mx-x1 Where 'm' is the slope. Given:…

Q: 2 2. f(x) = 5-x², (3,-4)

A:

Q: compute the derivative. 19. y=(2cosθ+5sinθ)9

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Q: s(w) = In( w - %3D

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Q: What is difference between the derivative of log(sin(x)) and the derivative of ln(sin(x))?

A: The difference between ln and log is the base of ln is e and the base of log is 10