What can you say about the upper bound of E(x) for numbers of the form 3^(2n) + 1?

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

A: handwriting solution

Q: Find the general solution using Reduction of Order: y''=2lnx

A: Explanation of the answer is as follows

Q: Find the derivative by the limit process. x) = 11 -x

A: Given, f(x)=11-x2

Q: give 3 examples of the reciprocal rule of integration formula

A: The reciprocal rule for the integration is: ∫f'(x)f(x)dx=ln |f(x)|+C

Q: 5 Find a limit equal to In(2x – 1) dx.

A: We know that, ∫lnxdx=xlnx-x+C…

Q: Use linear approximation to estimate ln(.99)

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Q: Choose the correct answer by using the Product rule of derivative. d dx - (x4.x7) is equal to…

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Q: fx ln x dx.

A: According to the guidelines the first question can be solve in multiple question. Kindly repost…

Q: ln(x) is just defined for x greater than 1. Select one: True False

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Q: Find the limit of: limit of log5(8x-x4) as x approaches 2- (Use left hand limit)

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Q: Verify the power rule for integration n+1

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Q: 2. Show a graphical method of approximating the instantaneous rate of change at x = 3 for the…

A: You must have idea about what is the basic difference between instantaneous and average rate of…

Q: What are the formulas for integration? When and how to apply those formulas?

A: Formulas of integration ∫uvdx=u∫vdx-∫dudx∫vdxdx We use this formula when the integrand are multiple…

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: Limit as x approaches 0 1-cos(x)/sin(x)

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

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Q: Prove: cosh 3x = 4cosh'x- 3 cosh x %3D

A: We will solve the following.

Q: 2. Find a real root of 3x – logi0 x – 8 using the Successive Approximation method. Correct to four…

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

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: Show that Costy+ Co5' (-x ) = TT.

A: To show that the given identity is true,

Q: LY 5- -4 2- -5 -4 -3 -2 -14 -2+ -3

A:

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: how do we identify the minimum and maximum value of the graph of a function at a given intetval?

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Q: dervivative of (ln(cosh(x)))3

A: Given data:     The given function is: y=(ln(cosh(x)))3. STEP-1 Assume u=coshx and differentiate it…

Q: 4. Find at the point (1,1,1) if ln(xyz) = 1 əx

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Q: 3x+4 3. f(x) = x2+3 12 x3+6x2+3x 4. f(x) = 3x

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Q: The average annual increment in the horn length (in centimeters) of bighorn rams born in recent…

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Q: Compute the derivative of f(x)= (ex2 +e-x2 )/(ex2 -e-x2 )

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Q: Find upper and lower bounds for

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Q: logtan nx(2+ 4 cos nx) 2

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Q: Find the second-order derivative of the function f(x) = log5 sin x + (2x2 - 8) / (x4 - 4x2). Please…

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Q: How do you integrate 25e^-x?

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Q: How can I find the gini index of y = x^1.1?

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Q: Prove the identity arcsinhx=ln(x+√1+x2).

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Q: Use differentials to approximate √16.5.

A: Given:

Q: Choose the correct value of derivative. d dx x+1 X () is equal to (Hint: Look at the note of section…

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Q: If x >0, Prove that X - ln (1+x ) > x^2/2+2x

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Q: 1- Y= sin( coshx log2 2 ) 2-Y= sinx.coshx. log2 2 3 - y = In Vx. sin x

A: Apologize  that we are permit to do first question of the multiple questions but still I am doing it…

Q: if X #0 メ=ロ Frnd continuous

A: given the function fx=xx if x≠00   if x=0 we know that x=x if x>0x=-x if x<0 therefore,…

Q: Find limit   without using derivative

A: Given,

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

A: Use l hospital rule

Q: Use an appropriate technique to integrate: ∫ ln(5x) dx Upper limit: e/5 Lower Limit: 1/5

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Q: Use the Definition of a Definite Integral or Theorem 4 from Section 5.2 to find the exact value of…

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Q: Prove sech 2  x =1 - tanh  2x

A: we have to prove: sech 2  x =1 - tanh  2x

Q: Give examples of basic integration using exponential rule

A: Give examples of basic integration using exponential rule Let us integrate an exponential function.…

Q: If g(x) : 8 + cosh(9x) find g'(x) 8+ cosh(0)

A: Answer and explanation is given below

Q: Find critical points of ƒ(x) = x² ln(x) — 1⁄x² on the interval (0, ∞).

A: Given; fx=x2lnx-12x2 ; x∈0,∞    As we know that; The critical points of the function, y=fx can be…

Q: sech2(In x)

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Q: Why is it easier (in run time) to satisfy Disjunctive Normal Form (DNF) than Conjunctiv Normal Form…

A: As per given by the question, why is it easier to satisfy Disjunctive Normal form than conjunctive…

Q: The Area of a triangle with vertex (4, 3), (4, -3) and (7, -3) can be obtained through double…

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