Consider Y; = 0 + 0,X¡ + E¿, i = 1,2,..,n, e, - N(0,0), the cov(ô,Y) = %3D

Q: Evaluate O xy?dx + a°dy, where C is the rectangle with vertices (0,0), (6,0), (6,3), and (0,3)

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Q: to determine the circulation of F around C,,

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Q: Find z dV, where E is the solid tetrahedron with vertices (0,0,0), (5,0,0), (0,2,0), and (0,0,4)

A: # Given integral is      ∫∫E∫ zdv

Q: Evaluate 3zdV E where E is the solid enclosed by z = 1 and z = x + y

A: we need to evaluate the given integral about the solid E . first we will find the limit of the…

Q: Exercise 10 The double integral I = " re"“ drd0 is equal to: A. (e* – 1) B. (e? – 1) c. " (e – 1) 4…

A: We have, I=∫0π2 ∫02rer2drdθ         ...(1)   We will solve the inner integral first. We can use…

Q: Evaluate : //| cos(x² +y³) dV, where E is the region bounded by the disk x² + y? < 9 E and the plane…

A: From the region of integration which is bounded by x2+y2≤9 and z=1, identify the limits of x, y and…

Q: Evaluate the double integral 8xy dA, where D is the triangular region with vertices (0, 0), (1, 2),…

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Q: Consider the joint PDF fx (x,y) given in the following. Let W=X+2Y, and the event B={W<1}. fx,y(z,y)…

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

Q: Evaluate e dV where E is enclosed by the paraboloid z = 4+ x² + y?, the cylinder E x2 + y? = 1, and…

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Q: In the integration What is the value of u? xV1-4in?x a. u = 4ln² x In x b. u = C. u = In x? = Inx d.…

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Q: Let G(u, v) = (, uv). Use the Change of Variables Formula to compute the area of the image of [1, 4]…

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Q: Study the analytically of w = L_r(z) at the points z = 0, z = v2,z = -2i

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Q: Show that under the assumptions of normal multipleregression analysis(a) E(Bˆ i) = βi for i = 0, 1,…

A: I have solved this question,taking the number of covariates as p instead of k and cov(Bˆ i, Bˆ j) =…

Q: 2. Consider the DE y(4) – 4t²y" + 4y" = 0. (a) Is the DE linear? (b) Is the DE homogeneous? Why? (c)…

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Q: Let G(u, v) - (, uv). Use the Change of Variables Formula to compute the area of the image of [1, 6]…

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Q: If the density of the frame element (shown in the figure) is given as p(x, y)=b+cy where a-9, b-1.2…

A: Given  Density μx,y=b+cy Where a=9, b=1.2, and c=3.1

Q: Use Gauss's Law to find the charge contained in the solid hemisphere x2 + y2 + z² < a², z z 0, if…

A: Given:The Electric field, E→=xi⇀+yj⇀+7zk⇀Equation of solid hemisphere isx2+y2+z2≤a2       ,z≥0To…

Q: Exercise 4.3.8 Show that if A = E oiu;vf , then At = Ei=1 0,'v¿u

A: Given function is, A=∑σiuiviTi=1r As we know that, A+B+=A++B+ So, we can write the above equation…

Q: Considering f(, Y, z) = z + x²y and S as part of the cylinder y² + z² = 25 that is between the plans…

A: It is given that surface S is the part of the cylinder y2+z2=25 lies between the planes x = 0 and x…

Q: Evaluate f z2 In z dz using integration by parts O 22 In z – +c 12 O In z - +c O 22 In z-폭 +c O In z…

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Q: Evaluate the triple integral // x dV, where T is the solid tetrahedron with vertices T (0,0, 0),…

A: Here we have to evaluate the triple integral , where T is the solid tetrahedron with vertices…

Q: =. Let X, Y and Z have the joint pdf x² + y? + z x2 + y? + z2 (2т) 3/2 1+ xyz exp exp where -o < x <…

A: The joint density pdf of X, Y and Z is, fx,y,z=12π32e-x2+y2+z221+xyze-x2+y2+z22 Consider,…

Q: find the indicated extrema, assuming that x, y, and z ar = xyz z - 12 = 0

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Q: Evaluate the double integral || 8xy dA, where D is the triangular region with vertices (0, 0), (1,…

A: Given data: The first vertex is O=(0, 0). The second vertex is B=(1, 2). The third vertex is A=(0,…

Q: Evaluate dV, where E is the solid in the first octant bounded by r2 +y? + z2 = 1 E and a2 + y? + z2…

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Q: Evaluate x² + y2 dV _where E is the region that lies inside the cylinder E x2 + y? = 4 and between…

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Q: Evaluate TI Vx + y2 dv, where E is the region that lies inside the cylinder x2 + y? = 1 and between…

A: In this question, we have to evaluate the triple integral by using cylindrical coordinates.

Q: The joint pdf of Y, and Y, is given by (a) ,with support (b) , and 0 elsewhere. (a) 1/y2; (b) 0 < y…

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Q: Evaluate the triple Integral. 3xyz dV, where T

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Q: 2. Set up the triple integral f[Sp I+y+zdV, where D is the tetrahedron with vertices at (0,0,0),…

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Q: Let v f(x,y) and w f(x, y). Choose a correct formula %3! to determine where J is a Jacobian. dv aw…

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Q: Among all rectangular regions 0&lt;=x &lt;=a, 0&lt;=y&lt;=b, find the one for which the total…

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Q: a dV E where E is bounded by the cylinder a? + y? = 9, 0 0.

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Q: 1. Evaluate I = D xy dA, where D is the triangular region with vertices (0,0), (0, 1), and (1,1).

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: 7. Let E be the region in R enclosed by the cone z = Va2 + y? and the paraboloid z = a2 + y?. Then…

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Q: Integrate g(x, y, z) = x + y + z over the portion of the plan 2x + 2y + z = 2 that lies in the first…

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Q: Let / = [c, d] [a, b], show that g =xj is Reimann integrable on [a, b] and b. S g(x)dx = d-c a

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Q: The integral JJI eV 4x2 + 4y² + 4z² dV = mt, where R is the solid hemisphere with x2 + y? + z² < 11…

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Q: If the density of the frame element (shown in the figure) is given as p(x, y)=b+cy where a=9, b=1.2…

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Q: na the mir m value oT the 1 in the region ction х, у) %3D 2+ y3 = {(x, y) | x² + y² < 1}, and use it…

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Q: Find the Jacobian a(x, y) / a(u, v) for the indicated ch x = e-u sin v, y = e-U cos v a(x, y). a(u,…

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Q: Evaluate the triple integral II. x* dV, where T' is the solid tetrahedron h vertices (0, 0, 0),…

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Q: 1. Evaluate the given line integral, | (2² – y,y) · dŘ, where C is the part of a = y? – 1 from (0,…

A: Note:-Our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: . Set up the triple integral fSSp r+y+zdV, where D is the tetrahedron with vertices at (0,0,0),…

A: The equation of tetrahedron with intercepts (a,0,0), (0,b,0) and (0,0,c) is given by: Given…

Q: of the ne Joint constant on the region (x, y) : x > 0n yleql n-0.5 < x - y < 0, sho in the image…

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Q: Evaluate /// xe²+y²+z² dV, where E is the portion of the unit ball x2 + y? + z2 < 1 hat lies in the…

A: Given The given integral is ∫∫∫Exex2+y2+z2dV E is the portion of unit ball x2+y2+z2≤1.

Q: Let E be the upper half of unit ball E = {x2 + y2 + z2 ≤ 1, z ≥ 0}. Compute ∫∫∫Ez dV.

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Q: Find z dV, where E is the solid tetrahedron with vertices (0,0,0), (5,0,0), (0,6,0), and (0,0,3)

A: This question is related to triple integral, We will solve it using given information.

Q: What solid is formed when this net is folded? A C D

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Q: Find z dV, where E is the solid tetrahedron with vertices (0,0,0), (2,0,0), (0,4,0), and (0,0,1)

A: We have to find the volume integral of the given function.