Obtain the value of skewness of the variable landfill and the value of kurtosis of the variable acid. Interpret each result.

Q: Use linearization to determine an approximation of V1002.

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Q: Exercise 2. Integrate the following functions. 1. S(3x+2)°dz 2. 3.

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Q: Approximate V(2.03)² + (0.8)² + (2.1)² using a linear approximation.

A: To approximate: 2.032+0.82+2.12 Consider a function, fx,y,z=x2+y2+z2 The linear approximation of a…

Q: Calculate the net flow of air, A = yz xyz, passing through a box with one Z corner at the origin…

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Q: Consider the regression function C, = B, • 1, + U,, where C;indicates the household's consumption…

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Q: 6. Change the order of integration and evaluate 1 3 3y e-² dxdy.

A: To change the order of integration and to evaluate ∫01∫3y3e-x2 dx dy.

Q: = Express by ¡y¡ in the terms of x variables where y; = C₁jx; and bicik = 8%.

A: express bijyiyj in the terms of x variables where yi=cijxj             ...i and bijcik=δik…

Q: Find Prti= (r+)P,+m analytical solution to Simplity as much possibe. as

A: We are given the following expression.       Pn+1=(r+1)Pn+m Let us denote a=r+1. So,…

Q: 1. ܐ 2x -5 2. fe²dx -dx

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Q: Use the given information to find the co efficient of determination. 6) The following are costs of…

A: Cost Number 9 85 2 52 3 55 4 68 2 67 5 86 9 83 10 73

Q: Find the gradient of f(r, y, z) = xy?z³ + In(ryz) at the point (1, 1, 1).

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Q: Eliminate the Arbitrary Constant(s): 1. y = c,x2 + C2xe* 2. Iny = c, + C2x

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Q: = 5. Find the x-coordinate of the center of mass of the thin flat plate of constant density 8…

A: We need to find the coordinate of the center of mass of the thin plate of constant density  located…

Q: Eliminate the arbitrary constants on the given equation: y= Ae" + Bre 2y +y=0 O y =-y" + 2g

A: The given equation is y=Aex+Bxex. We have to eliminate the arbitrary constants.

Q: Find fg, fyand f; if f(x,y,z) = x - Vy² + z²

A: Given:     To determine: Partial  derivative  fx, fy, fz

Q: Based on the scatterplot predict the value of y when x = 30 -mittens 10

A: From the scatter diagram, the slope of the regression is downward slope   As slope is downward,…

Q: State the following laws as applied to Biological fluid in membrane. i. Stoke's law ii. Nernst law…

A: PART 1 According to the Stokes Law, Fd=6πμRv where, Fd= the frictional force acting on the interface…

Q: Substitute r = 1 into + p(z)y=f(z)y and show the result is linear. Write your answer in linear…

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Q: Jse method of variation of parameters. y"+2y-8y=2e-2x - e-x.

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Q: If e is the angle between the two regression lines of y on x and x on y. Then 1- 7? 2. X y prove…

A: For the provided lines with defined slopes of m1 and m2, the acute angle (defined as θ) is given as:…

Q: Use Linear Approximation to estimate the change, Az, in z = 8x2 + y? as (x, y) changes from (2, 3)…

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Q: Find fyry. „6,5 f (x, y) = x°y% – 2x°y+ x %3D f yry

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Q: 2. Consider the model: Y, =0.2Y+e,+0.4e. Find the autocorrelation function p, for k=1,2,3.

A: We are required to find autocorrelation function(acf) of an ARMA model.

Q: Express by ¡y; in the terms of x variables where y; = C¡¡x; and bicik = 8k.

A: Given equations as yi=cijxj and bijcik=δki

Q: Suppose that Y = Z - X is independent of Z and of X. Show that Y is a constant.

A: Given that Y=Z-X. To show: Y is a constant function.

Q: Find mZW. 10-/3 V W 10

A: Given  and i.e.

Q: The volume of water in a cylindrical tank is given by: V = r²h where V is the volume of water in m³,…

A: Let V be the volume of water in the tank Let r be the radius of the tank Let h be the height of the…