50. Use the Theorem of Pappus to find the volume of the solid formed by revolving the region bounded by the graphs of y=x, y = 12, and x = 0 about the x-axis. Round your answer to two decimal places.

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A: Given polynomial is: f(x)=x3+x2+x+1 Since, f(1)=0 So, x-1 is a factor. Now, factorize the…

Q: Problem #7: Evaluate the following integral SS 8x V (5x-y) ln(5x-1) R da where R is the region…

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Q: Find the imaginary component if the complex number a + bi is raised to m if a = 4, b = 3, and m =…

A: a = 4, b = 3 => a + bi = 4 + 3i m = 9 => (a + bi)m = (4 + 3i)9                            = (4…

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Q: 4. ) Calculate the cost of computing A = uvT where u and v are column vectors of size n.

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Q: Use the given inverse of the coefficient matrix to solve the following system. 5x₁ + 3x₂ O A. - 6x₁…

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Q: prove

A: Here we use, 3+3=9 and 6+3=9 We have to prove,3×3=9 by peano's axiom for natural number.

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Q: Evaluate the determinant (3 5 -1 4 1. A= 2. B = 302 2 7 1 264

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Q: 20. Write the contrapositive of the following statement: If the sky is blue, then the grass is not…

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Q: Let T be the solid, S be the surface of T, and n is unit normal vector of S. The outward flux of the…

A: Given vector field F=x3+cosy i +y3sinxzj+z3+2e-xk T be the solid bounded by the cylinder y2+z2=4 and…

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Q: 3. Find the standard form equation of the parabola with vertex at (1, 2) and focus at (1, -1).

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Q: 16. Find the volume of the described solid S. The solid S is bounded by circles that are…

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Q: PIA30 Show that the function 1,6 = (516) (3 cos 0 - 1) is normalized over the interval 0 ≤ ≤ man 0≤…

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Q: On page 176, we have an expression maximizes E[W] - bVar(W)/2. If you use the utility function as…

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Q: For how many n € {1, 2, . . ., 550} is n a multiple of one or more of 5, 4, or 6?

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Q: K Suppose that you borrow $12,000 for three years at 5% toward the purchase of a car. Use PMT= to…

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Q: Identify the following Cayley digraph of a familiar group.

A: We have to identify the given Cayley digraph of familiar group.

Q: (Eisenstein arithmetic): Express your answers in the form x + yw. 2+5w-1-7w = (1 − w)5 = (2+3w).…

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Q: An exercise machine with an original price of $860 is on sale at 12% off. a. What is the discount…

A: Original price of the exercise machine = $860          Off on the machine  is = 12%…

Q: Divide the following complex number. Show ALL work (5—i) (−3+2i)

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Q: e.) Generalize your findings and extend them to sum, difference, product, and scalar product of…

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Q: Rewrite the following negation using DeMorgan. Pigs do not eat apples or oranges  Write the…

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Q: 2. Find the absolute maximum and minimum values of f(x, y) D = {(x, y): y ≥ x², y ≤ 4}. = 3x² + 2y²…

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Q: Determine the set of points domains at which the function is continuous.  G(x,y)= 2x tan y

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Q: Solve the equation 16x2+192x-1863.2=0 numerically using Qin Jiushao's procedure.

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Q: Prove that If a = b (mod n), then a + c = b + c (mod n) and ac = bc (mod n).

A: Given : a≡b mod n To Prove : i a+c≡b+c (mod n)ii ac≡bc mod n Note : According to the guideline we…

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Q: An= -An-1+12An-2; A0=5; A1=8. Solve the recurrence relation using the Characteristics Equation…

A: We need to solve given recurrence relation by the characteristics method.