Find the volume V of the region appearing between the two sur

Q: Find the equation of the plane through the point (2, 4, 3) that is perpendicular to the line r = (2i…

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Q: Solve the system +2x3 +2x4 16 -4x3 -3x4 -29 x2 113 -2x2 +15x3 +12x4 +4x3 3x1 +9x4 41 -x2 X3 = ||||

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Q: Find the centroid of the quarter circle x? + y <7, y 2 |x| assuming the density 6(x, y) = 1. (Use…

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Q: Which word has the most permutations of its letters? abbas aabbcc books bikes

A: To select the word which has the most permutations of its letters.

Q: Simplify. Write your answers without exponents. 3 -- %3D 32 ? 3. 81 %3D

A: (a) 132-35 = 3235             = (25)35 = 23 = 8Hence(132)-35 =  8

Q: 1 Evaluate | Iz| = 12.0 (z – 10.0) (z2 + dz . 169) 2

A: Cauchy residue theorem, evaluation of the integral

Q: 2+3i 2.) + (8i – 6)(-3 + 14i) 3i(1-5i)

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Q: Expand f(z) in powers of (z – 12) . Also %D (z-6) clearly mention the domain in which this expansion…

A: Power's exaption and interval of converges

Q: How many times do we need to iterate using NRM to find the root of the function f(x) = 4xe2* – 2 to…

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Q: Prove that if a > 0, k > 1, and ak -1 is prime, then a = 2 and k is prime. %3D

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Q: Calculate L6 for f(x) = v9x + 3 over [1, 3]. (Give your answer to three decimal places.) O 273

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Q: If the number ordered is O, the number backordered is B, and the number shipped is S, which formula…

A: S = number of items shipped O = number of ordered items B = number of items backordered.

Q: Find two linearly independent solutions of y" + 3ry = 0 of the form Y1 = 1+ a3x³ + a6x® + · .. Y2 =…

A: We find two linearly independent solutions of the given differential equation  y"+3xy=0.......(1)

Q: f. Set up (but do not evaluate) an integral with respect to x to represent the volume of the solid…

A: To setup an integral which represents the volume of revolution.

Q: Prove that |(a, b)| = |(c, d)| for any numbers a, b, c, d where a <b and c< d. Proof: %3D Prove that…

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Q: Verify that lxl:|Ž Ž1% P) is normed spase: and show that nokmed Spase Spase:

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Q: 2.) f (t) = (t2 – 3, le3t, 0 12

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Q: A boiling (100 °C) solution is set on a table where room temperature is assumed to be constant at 20…

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Q: (b) Let A(4, 4, 7) and B(11,8, 11) be two points in 3D. Determine the coordinates of the point Q…

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Q: sider a triangle ABC like the or drawn to scale.) Solve the trian Fry your intermediate computatie

A: Introduction: The law of sines and cosines for the triangle with sides a,b,c and angles A,B,C is…

Q: Find the Maclaurin series for r2 + tan a and using that series, derive the Maclaurin series for 2x+…

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Q: How many ways can 10 people line up at the front of a class if Billy and Samantha are together?

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Q: The z-transform of x(n) is X(z) = 1 + 2z1, Iz/ # 0. Find the z-transform of the sequence x1(n) = x(3…

A: Given, x(n)→X(z)  (z-transform)X(z)=1+2z-1 To find: z-transform of x1(n)=x(3-n) + x(n-3)

Q: Expand f(z) = in powers of (z – 12) . Also %3D (z- 6) clearly mention the domain in which this…

A: Power series exaption, interval of converges

Q: Compute the total mass of a wire bent in a quarter circle with parametric equations: x = 5 cos t, y…

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Q: 47, 47, 2t) he plane he l and the plane P. Write your answer as a point (a, b, c) whe 9 between the…

A: Given, The line l is represented by nullPlane P is represented by 2x+4y+5z=6. The intersection point…

Q: Determine the z-transform of the followWing sequences using the z-transform table and the…

A: Definition: Z- transform of a sequence x(n) is…

Q: curve generated by the parametric equations. Indicate with an arrow the direction in which the curve…

A: Given that x=2+√t, y = t²-4t, 0≤t≤5 We have to draw graph

Q: The value that indicates how much an individual test is related to a factor in factor analysis is…

A: The value that indicates how much an individual test is related to a factor in factore analysis is…

Q: 7. Find a linear differential equation with constant coefficients Ly = 0 such that y(x) = cos(x) +…

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Q: Show that the function f (x) = 1/x2 is uniformly continuous on the set [1, ∞) but not on the set (0,…

A: Solution

Q: The data points lie on a polynomial. Determine the value V²4. 10 -1 3 -13 -7 -9 1 -29 6. -4 2 19 1…

A: First all the given data points are arranged in ascending order keeping the x-values as reference.…

Q: V9-4x2 The integral of the given function f dx is x2 -V9-4x2 а. 2x Arcsin + C -V9-4x2 b. 2x 2Arcsin…

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Q: For a, b, c, d e R, show the following. (a) If a >b and c> d, then a +c>b+d.

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Q: Find the coefficient b, of the Fourier series representation of the function with period T= 1/50…

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Q: -4x e Find a particular solution to y" + 8y' + 16y= x3

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Q: 5. Find the fundamental set of solutions for the given differential equation: x'y" – x(x + 2) y' +…

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Q: 1. A college freshman must take a science course, a humanities course, and a mathematics course. If…

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Q: A complex electronic system is built with a certain number of backup components in its subsystems.…

A: Here given  The number of identical components is four. consider the number of components is denoted…

Q: dx + 3t?x = x?t et3 solve by Bernoulli's dt Equation

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Q: Give the augmented matrix for the following system of linear equations. -3x1+10x2-6x3-4x4+8x5 -4…

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Q: What is the z transform of x(n) = 1, 0<n< 5 a. z1 + z2 + z3 + z4 + z-5 b. z + 1 + z1 + z-2 + z-3 +…

A: Here first we find Z transform of unit step function, then find Z transform for 0≤n≤5

Q: What is the z transform of h(n) h(n) = (1/2)", 0<n<3 Lo, 0, elsewhere 1+ (1/4)z2 + (1/8)z³ 1 +…

A: We have to apply the z transform properties.

Q: Determine the total accumulated interest of money worth Php100,000.00 borrowed from January 27,…

A: We have to find the total accumulated interest of money.

Q: a) Find the degree 3 Taylor polynomial T3 (x) for the function f (x) = 4x cos(x) centered at the…

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Q: Solve linear congruence 45x ≡ 60 (mod 75)

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Q: Use the critical path algorithm to create a priority list for the digraph below. T1 (2) T4 (12) Т6…

A: To find- Use the critical path algorithm to create a priority list for the diagraph below. Priority…

Q: Let 13 4 -8 2 -37 15 -28 -5 A = -6 4 -7 -6 1 Find a matrix P such that D = P-'AP is the Jordan…

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Q: Using secant method, detemine a root of sin x – x with initial guesses x, = 0.5 and x, = 1…

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Q: 1. 2 sec" (8x -) d n) dx

A: to evaluate the integration of 2sec^2(8x-π/4)