Given the acceleration of a particle is a(t) = < 5, 3t 7, 10, 6 > and the initial position is r(0) = < 5, 7, 3 >, f %3D < 81.00, 343.00, 3031.96 > O < 221.00, 343.00, 3022.96 > O < 216.00, 336.00, 3020.96 > < 216.00, 599.00, 3031.96 >

Q: Estimate f(2.98, –1.99) given that f(3, –2) = 2, f«(3, –2) -3 and fy(3, –2) = -4. = f(2.98, –1.99)

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Q: a) Write the production function of the agricultural sector then compute the contributions of Logla…

A: Given: GDP average growth rate (LogYa)=2% agricultural employment average growth rate (Log la)=2%…

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A: The given joint density function is: fx, y=c10-x+y     x,y&gt;0,  x+y&lt;10  Further, the value of c…

Q: The random variables X,Y have variance Var(X)=36 and Var(Y)=1 and their correlation is Cor(X,Y)=−34.…

A: Formula used Var ( X+Y) = Var(X)+Var(Y)+2Cov(X,Y)

Q: The pdf of random variable X is given as f(x) Find the i) Mean ii) Mean of the square = [0.3507√x…

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Q: Derive the following formula relating R^2 of full and reduced models and the F-test:

A: Given information: The formula for F-test relating to R2 of full and reduced models is given.

Q: pose that Y1,Y2 are independent identically distributed (iid) random variables form a random sample…

A: y1 0.04304550 y2 0.50263474 f(x)=θe-θx ; x≥0 1) Read the data into R x&lt;- c(0.04304550,…

Q: Then the variance of Y is

A: Given, E(Y/X=x)=2xvar(Y/X=x)=4x2 f(x)=1, 0&lt;x&lt;10, e.w

Q: The pdf is given as follows: f(x) = { (1/6)e^(1/6x) ; x > 0 0; ew] (i) Find the mean and variance…

A: The pdf is given as follows:f(x) = { (1/6)e^(1/6x) ; x &gt; 0

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Q: the pdf of a random variable x is given by f(x;θ) = θx^θ−1 x ∈ (0,1). find the maximum likelihood…

A: The likelihood and log likelihood functions are as follows:

Q: A standard "money demand" function used by macroeconomists has the form In(m) = Bo + ByIn(GDP) +…

A: Given data: β1=2.28β2=-0.09 Expected change in m if GDP increases by 0.01…

Q: b) Given: SSTotal = 601.667 SSA = 27 SSB = 507 Calculate: (i) SSsubtotals, (ii) SSAB and (iii)…

A: Factorial Design: It is one of the most efficient designs for the experiments that are having the…

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A: To Do: Write the Dirichlet conditions. Explain the Gibbs phenomenon.

Q: Which of the following functions has a vertex of (4,7 O y = (x+ 4)² +7 O y = (x – 4)² + 7 O y (x +…

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Q: For an exponential random variable (X) having θ = 4 and pdf given by: f(x) = (1/θ)e^(−x/θ ) where x…

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Q: (c) If rc and re is the E. coli growth rate, determine the value of rc at 20 min to the most…

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Q: If X is a uniformly distributed random variable between -1 and 1 (pdf of x is constant=1/(2pi)…

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Q: ew] (i) Find the mean and variance of X using the pdf. (ii) Find the moment generating function of…

A: Given the pdf: f(x) = { (1/6)e^(1/6x) ; x &gt; 00; ew]

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A:

Q: The question is asking for the frequency of a-f and f(x) of a-f scores on the image

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Q: What is the normal line to the line that passes through (-8 , 0) and (-1, 3)

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Q: Let X and Y have the joint pdf f(x,y)= x+y , 0<=x<=1, 0<=y<=1.  Calculate the mean(x)

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: The variation of Y around its mean can be decomposed into which two parts?

A: Note: Hey there! Thank you for the question. As it is not mentioned whether Y is the response…