Evaluate ∭ (1 + 3? + 8? + 6?) ?? ? where E is the solid...

Evaluate ∭ (1 + 3? + 8? + 6?) ?? ? where E is the solid tetrahedron with vertices (0,0,0), (1,0,0), (0,2,0) and (0,0,3)

Expert Solution

milcah answered 2 years ago

Use spherical coordinates. Evaluate (6 − x2 − y2) dV, where H is the solid hemisphere...

Use spherical coordinates. Evaluate (6 − x2 − y2) dV, where H is the solid hemisphere x2 + y2 + z2 ≤ 16, z ≥ 0. H

Given the vectors d = [−3, 6, 7] e = [8, −5, 3] and f =...

Given the vectors d = [−3, 6, 7] e = [8, −5, 3] and f = [3, −1, 4] a. Let x1(t) be the equation between d and f, express x1(t) in vector and parametric form. Then find x1(3); x1(-2); x1(1) b. Let x2(t) be the equation through f and parallel to x1(t), express x2(t) in vector and parametric form c. Let g = 4d – 2f, express the equation of the line containing g and e

3. Consider the volume E as the solid tetrahedron with vertices (1, a, 0), (0, 0,...

3. Consider the volume E as the solid tetrahedron with vertices (1, a, 0), (0, 0, 0), (1, 0, 0), and (1, 0, 1) where a > 0. (a) Write down the region E as a type I solid. (b) Find a such that RRR E x^2 yz dV = 1.

Use spherical coordinates. Evaluate (x2 + y2) dV E , where E lies between the spheres...

Use spherical coordinates. Evaluate (x2 + y2) dV E , where E lies between the spheres x2 + y2 + z2 = 1 and x2 + y2 + z2 = 9.

5. Let Y1, Y2, ...Yn i.i.d. ∼ f(y; α) = 1/6( α^8 y^3) · e ^(−α...

5. Let Y1, Y2, ...Yn i.i.d. ∼ f(y; α) = 1/6( α^8 y^3) · e ^(−α 2y) , 0 ≤ y < ∞, 0 < α < ∞. (a) (8 points) Find an expression for the Method of Moments estimator of α, ˜α. Show all work. (b) (8 points) Find an expression for the Maximum Likelihood estimator for α, ˆα. Show all work.

Problem 1: Use Green's Theorem to evaluate the vector line integral ∫C [?3??−?3] ?? where ?...

Problem 1: Use Green's Theorem to evaluate the vector line integral ∫C [?3??−?3] ?? where ? is the circle ?2+?2=1 with counterclockwise orientation. Problem 2: Which of the following equations represents a plane which is parallel to the plane 36?−18?+12?=30 and which passes through the point (3,6,1) ? a). 6?−3?+2?=3 b). 6?+3?−2?=34 c). 36?+18?−12?=204 d). 6?−3?+2?=2 e). 36?+18?+12?=228

tens Units 1 5 2 3 4 8 5 2 5 6 9 6 1 3...

tens Units 1 5 2 3 4 8 5 2 5 6 9 6 1 3 5 4 7 9 7 0 0 4 5 6 9 9 8 1 3 5 6 8 9 9 0 1 2 3 5 9 The table represent a random sample of 31 test scores taken from a large lecture class. Find the following [round to 2 decimal points X. XX] a) [2 pts] Find the 5 number summary [L, Q1, Q2, Q3,...

1. Evaluate: (a+b)/(c-d) + 9/(a+d) when a=5, b=3, c=8, d=4 a. 6 b. 3 c. 15/2...

1. Evaluate: (a+b)/(c-d) + 9/(a+d) when a=5, b=3, c=8, d=4 a. 6 b. 3 c. 15/2 d. 17/13 2. Solve for x: 5(x+3) = 35 a. 2 b. 7 c. 4 d. -4 3. Acid rain occurs primarily as a result of a. operating a nuclear power plant b. burning coal or oil containing sulfur c. by-products created by operating an oil refinery d. the use of Freon and other refrigerants 4. The "ozone holes" at the polar region arise...

Use spherical coordinates. Evaluate (4 − x2 − y2) dV, where H is the solid hemisphere...

Use spherical coordinates. Evaluate (4 − x2 − y2) dV, where H is the solid hemisphere x2 + y2 + z2 ≤ 9, z ≥ 0. H

Consider the paired sample {(3, 1),(3, 5),(6, 6),(6, 8),(7, 10)}. Do the following by hand (you...

Consider the paired sample {(3, 1),(3, 5),(6, 6),(6, 8),(7, 10)}. Do the following by hand (you may use a basic calculator, but not a statistical program). (a) Find estimates βˆ 0 and βˆ 1 of the regression parameters β0 and β1. (b) Make a rough sketch of the data and regression line. (c) Predict the value of y when x = 5. (d) Predict the value of y when x = 15. (e) Which prediction (part c or d) do...

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