6. Find the volume of the solid obtained when the region bounded by y ==, y = 0,x = 1, and x = 2 is e* %3D revolved about the y-axis.

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A: Solution:-

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A:

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A:

Q: 6. (a) Carefully sketch (and shade) the (finite) region R in the first quadrant which is bounded…

A: We have to solve given Questions.

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A:

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A:

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A: Given LPP is Maximize P = 3x1 + x2 + 8x3 Subject to constraints -x1 + x2 + x3 ≥ -103x1 - 8x2 ≥ -15x3…

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A:

Q: ez = -2

A: Solution :-

Q: 10. Particular solution of y" – 64y = 16, when x = 0, y = 1, y' = 0 %3D

A:

Q: Express each of the following in the form a + bi. cosh(1 – i2)

A: Solution

Q: part b

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Q: II. Let U = R = {x €R|x* - 14x + 45x = 0} J= {x €R]x* 2}. I = %3D Find the following. All infinite…

A:

Q: A for the following matrix A and let 5 be the vector given below. 1 1 2 -4 A = 0 1 8. - 3 1

A: Linear transformation and matrix

Q: Q4) Find the maximum eigen value for the system A with initial vector 5 4 x' (0) = (1 1)

A:

Q: .3. Let K be an extension of a field F. Let

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Q: Find the Maclaurin series for f(x)=sinh(x) and its associated radius of convergence

A: Solution :-

Q: 4. Te uran nynx+ q)+1.9014

A: According to the guidelines We are supposed to do one problem

Q: Exercise 4 Convergence after one step Consider the function f(r) = aT Ar +bTa+c, where A is…

A: given that  f(x) = 12xTAx + bTx + c   and A is symmetric and positive definite. unique solution x* =…

Q: Let K be a commutative ring with identity, and let A and  B be a × a matrices over K. Then…

A:

Q: II. Let U = R I = {x € R|x° – 14x³ + 45x = ( J = {x €R|x° 2}. Find the following. All infinite sets…

A: I={-3,-5,0,5,3} We have I={x∈ℝ|x5-14x3+45x=0} Solve for x in  x5-14x3+45x=0 We get I={-3,-5,0,5,3}…

Q: 6. Show that when a hole of radius a is bored through the center of the sphere of radius b, the…

A: To prove: The Volume of the solid which is left, when a hole of radius a is bored through the center…

Q: 1. If the statement "for some x, P(x)" is false, then the statement "for every x, P(x)" is false. 2.…

A: This is a problem of Logic.

Q: 1. Using Cramer's Rule а.2х + у —z%3D33 b.x + y+z= 1 с.X-2 у—3z%%34 |

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Q: II. Let U = R = {x €R|x – 14x + 45x = 0} J = {x €R]x° 2}. I Find the following. All infinite sets…

A:

Q: a) RDL Corporation has one small plant located on the outskirts of Manila. Its production is limited…

A: First, we have to set up the linear programming model. Then, we can proceed further.

Q: 4. Using Inverse of a Matrix a.5x + 15y + 56z= 35 b.-4x – 1ly - 41z =-26 c.-x- 3y – 11z=-7

A:

Q: Prove the statements: The difference of the squares of any two consecutive integers is odd.

A:

Q: Population The table shows the U.S. populations for the years 1970, 1980, 19900, and 2000. (Source:…

A: Given that, The U.S populations for the years 1970, 1980, 1990 and 2000. Year 1970 1980 1990 2000…

Q: 1. Which of the following permutations in S, is odd? (a) 53124 (b) 51423 (c) 51234 (ed) 54231

A:

Q: Given:  U = { 2, 5, 8, 11, 14 }             A = { 2, 5, 8, 11 }              B = { 2, 8, 11, 14 }…

A: Solution:-

Q: 1.) Given the conservative vector field F(x,y,z) = ( y In z,x In z, xy find the work required to…

A: The conservative vector field Fx,y,z=y ln z, x ln z, xyz. The parametric equation of line segment…

Q: True/False along with reasons and explanations - A is an nxn matrix that has no inverse, so the only…

A:

Q: Find the Laplace transform of 1. f(t) = [1– Uz7(t)](2 sin t – sin 2t)

A: Given the function ft=121-u2πt2sin t-sin 2t  We will find the Laplace transform of ft

Q: 13. Let F = {x ER|x is defined }. Then, F is a proper subset of R. %3D 14. If G = {y € R |y = cos x;…

A: This is a problem of set theory.

Q: (b) Shade the region in the complex plane defined by z+1+i 2-1-5i

A: Solution:-

Q: ination method to solve the equation? x + 4y – z = -5 x + y- 6z = -12 3x – y - z = 4

A: System of Linear equations

Q: 1. Specify the order of the zero z = 0 of the following functions: a) f(2) = z²(e* – 1), b) f(2) =…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: a k 2 + k² S 2 + k² k

A:

Q: Advanced Math In 2 6. Using the substitution u = sinhx, evaluate the definite integral cosh' x dx.

A: The solution is given as

Q: the equation A = b is inconsistent, where A = [ā, āz], then the set {ā1, ā2, b} is early…

A:

Q: Determine the real root of f(x)=x4-8x3-35x2+450x -1001. Using false-position method to locate the…

A: Solution : Consider the following function, Use false position method and consider the following…

Q: Compute the determinant of the following matrix 1 а а? 1 b 2 1 c a A =

A: Solution :-

Q: Find the general cowtion of the die. y9) + ya) - 24 =-e (9+67x+17 x²) + (861nax - o cosex) „(2).…

A: The given differential equation is , y(3)+y(2)-2y = -e3x(9+67x+17x2) +…

Q: 3. How many zeros at the end does the number 2022! have? (n! is a product of all positive integers…

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Q: C. Use the Golden Section method to solve the minimum of f(x) = In(x²) + In (x³) + In(x*) using an…

A: Given: The function to be minimized is f(x)=ln(x2)+ln(x3)+ln(x4) xi=0.2xu=4

Q: Give the VALUE only. No need to include the unit of measurement in your answer. DO NOT include…

A: Let's suppose Volume of plane cell is C. According to the question: Rate of increase per day after t…