Under normality, prove the followings (a) B~ N(B,0²(X'X)-)

Q: Use the definition to calculate the derivative of the criterion of the function f(x) = e14x. In…

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Q: Use differentials to approximate the value of 52.1. 100+ 5ln5 50+ 6ln5 50+ 5ln5 2 100+ 6ln5 4

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Q: The deferential of point functions are exact differentials. Select one: True False

A: True

Q: 6. Use an appropiate linear approximation to estimate the value of In(1.01). Compare your…

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Q: What happens in Newton’s Method if your initial guess happens to be a local min or max of f ?

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Q: Which of the tollawing differential eouations corresponding to the potertial Vix) = 2x - x

A: Differential equation    Option  2nd  is correct

Q: verify the statement by showing that the derivative of the rightside equals the integrand on the…

A: Given statement :

Q: compute the derivative

A:

Q: Find the orthogonal trajectories of the family of curv

A: In this question we will use basic of calculus i.e concept of orthogonal trajectory. We will simply…

Q: If X and Y have joint pdf given by

A: From the given information, fX,Yx,y=2I0,yxI0,1y                =2, 0<x<y, 0<y<1

Q: The normal line to the curve y = -2x2 at a point in the fourth quadrant passes through the point…

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Q: - Use the definition of derivative to find the tangent and normal equations of f(x) = (x - 3)2 %3D…

A: We can find the tangent equation and normal equation as below.

Q: Verify the statement by showing that the derivative of the right side equals the integrand on the…

A: We write the expression using exponent and then integrate C=integrating constant

Q: Suppose you want to prove that ARST Theorem. If you know that ZR = LX, what else do you need to…

A: In ∆RST  &  ∆XYZ, ∠R≅∠X.

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

A: We will solve the following.

Q: In (In(ax))

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Q: Use linear approximation to approximate the value of In(20) without the need for a calculator. Up to…

A: Given:      Linear approximation of ln (20)

Q: Suppose X1, ..., Xn are iid with PDF f (x | 0) = 40ªx-5. x > 0, where 0 > 0. Find the method of…

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Q: Give the equation of the normal line the graph of sin" (x³) + (log3 y) 3 aut le 1)

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Q: 3. Use differentials to estimate the value of 10 - (0.98) correct to two decimal places.

A: Please see the below picture for detailed solution.

Q: Compute the first derivative of y = 2x^4 - 6x^3 - 12x - 8 at the point x=0 based on the value at xo…

A: Five point FD Approximation and CD Approximation:--- ..  I this Error is 0%

Q: The roots of Characteristic equetion of a thrrd oreler, lineor homapeneous-equation with constaut…

A: Consider homogenous differential equation with constant coefficient:…

Q: compute the derivative R(s) = sln s

A: Given the function R(s) = sln s

Q: Compute the derivative of ln r3 –1 V2x+5x²

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Q: Use differentials to approximate the value of: 26

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Q: Find the equation of the tangent line and equation of the normal line to the graph of 3x cos y = 1 +…

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Q: (a) What is the method of moments estimate of 0?

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Q: 4х, th dt Vhat is the

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Q: 7,2 Find the critical noint(s) of al r) and use the Second Derivative Test to classify the

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Q: adient of f in diro

A: Given function is: f(x,y,z) = xy + yz2 + xz3.

Q: 3. Verify the statement by showing that the derivative of the right side is equal to the integrand…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: what the derivative fxy er hin ction Sas)=x'tan)

A:

Q: Do you need to prove normality for chi-square on spss?

A: Chi-square Test : The chi-square test is a hypothesis test used to determine whether there is a…

Q: Use either (3) or (8) in Section 8.6 to find upper bounds for the error in approximating dx by the…

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Q: Four positive numbers, each less than 130, are rounded to the first decimal place and then…

A: Let p,q,r,s be the four positive numbers and their product be w

Q: show that a RW model without drift is non stationary when doing times series

A: Given the statement that a random walk (RW) without drift is non stationary.

Q: Use a linear approximation (or differentials) to estimate the given number. 99.6

A: Given query is to perform linear approximation on given redical.

Q: Exercise 18 Get the second derivative of the function f(x) = e3en el point 1.3 Using Richardson's…

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Q: The first derivative of the power series 3x2 3x f(x) = 3 1! 3x3 3x4 325 %3D - 2! 3! 4! 5! • is

A: Formulae: 1. e-x = 1-x/1! +x2/2! - x3/3! +x4/4!- ....... 2. d/dx{ e-x} = - e-x   Answer: f'(x)= f(x)

Q: Find the derivative of y(x) = In (7(In(x))* ). %3D (Use symbolic notation and fractions where…

A: Topic = Derivative

Q: Hiwiy Express the ballowsing functions by Palar equationft 2.

A: To change a rectangular equation to a polar equation just replace x with (r cos θ ) and y with  (r…

Q: Four positive numbers, each less than 80, are rounded to the first decimal place and then multiplied…

A: Solve the given problem.

Q: Verify the statement by showing that the derivative of the right side is equal to the integrand on…

A: NOTE: Refresh your page if you can't see any equations. . on the right-hand side, we have

Q: ind the 9th derivative of f(z)=exp((-1 + isqrt 3)z) at z=0.

A: Given f(z)=e(-1+3)z Differentiating w.r.t 'z' f'(z)=e(-1+3)z(-1+i3) f''(z)=e(-1+3)z(-1+i3)2…

Q: Compute the derivative of y = In ( VI-2 conh z - (z² + 2) -(2- 1)

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Q: Show that Lij = (0²/jq). n=- - (aj q). din. This shows that the derivatives of the normal can be…

A: As per the question we have to show the given relation between the derivative of the normal and the…

Q: (In iny

A: To find the derivative of the given function- lny=lnxylny Here we will use the following formulas-…

Q: 12. Find equation of normal line to curve y = 2 sin(nx – y) at point (1,0).

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Q: 13) Estimate tan(44°) using linear approximation.

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