Question 1 Find the coordinates of the centroid of the solid generated when region bounded by x? + y2 – 4y = 0 and y = 4 – x is revolved about y = 0.

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Q: 6 The coefficient of sin( 2r) in the antiderivative of F(x): F(x) = (cos( is

A: We have to find the coefficient of sin 2x.

Q: Let S = {x| 6x – 1 € Q} andT be the set of all odd integers. Prove that S andT have the same cardina...

A: S = {x | 6x - 1 ϵ Q }    = {x | 6x - 1 = p/q for some integers p and q}    = {x | 6x = 1+p/q for som...

Q: Find (124 *1 L3) /(9+j 7)

A: This is a problem of complex analysis.

Q: What is the formula that would be used to calculate the trapezoid approximation of ST 2s in x dx usi...

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Q: A В Use the method above to find the distance from the point P(-3, 1,5) to the line through A(1, 1,0...

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Q: A potato is launched vertically upward with an initial velocity of 127 ft/s from a potato gun at the...

A: Given  st=-64t2+200t+4  

Q: siven the following matrix -3 1 -2 -1 1. Find the eigenvalues for the matrix. 2. Use the eigenvalues...

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Q: Suppose the density of a two dimensional figure (see the shaded area below, a sector of a e grams 5L...

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Q: Let T be ring containing elements e, f, both # 0T, such that e + f = 1r , e² = e, f² = f , and e · f...

A: We are given e+f = 1T,e2=e,f2=f and e.f=0T where T is the rings containing elements e,f both not equ...

Q: The distance from C to D is 250 kms. The distance from B to C is 3/5 the distance from D to C. The d...

A: The complete solution is in given below

Q: Problems: 1 -1 2 1 -1 1 Let, A = 1 3 -1 -2 1 4 -1 3 3 -1 -5 1 -6 | a. Find a 5x5 matrix B such that ...

A: Given matrix, A=10-121-113-10-214-133-1-51-6

Q: Plot the point given in polar coordinates. (-3.-=) A/2 A/2 n/2 7/2 Find three additional polar repre...

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Q: please create two polynomials with different degrees but the same characteristics: crosses the x-ax...

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Q: Consider the function g : ZxZ → Z × Z defined by g(x, y) = (4xy, 9x + 5y). (a) Is g injective? (b) I...

A: (a) we see (5, 0) and (0, 9) are different elements in ZxZ.      But, g(5, 0) = (4.5.0, 9.5+5.0) = (...

Q: A certain phenomenon has an initial value of 12 and grows at a rate of 8% per year. Give an exponent...

A: Given Initial value =12 (Grows rate) r=8% per year  

Q: du The differential equation O is not an ordinary differential equation ax O True O False

A: If y=f(x), then the equation involves x, y, and differential coefficients of y with respect to x is ...

Q: Using the Egyptian division doubling/halving method, solve 13/7

A: We can use the Egyptian division doubling method to get the answer. 

Q: To calculate the volume of the solid region between the spheres  x2 + y2 +z2 = 1 and x2 + y2 + z2 = ...

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Q: av2 (x³ – 2)(2a? – x²)2 dx

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Q: Let A = [aij] given by a x bij = (i-j)^3 is a: * Anti-Symmetric matrix Symmetric matrix Identity mat...

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Q: Suppose an interval has frequency f . If the class interval with the lowest value is at the lowest r...

A: Suppose an interval has frequency f . If the class interval with the lowest value is at the lowest r...

Q: + z2 x for all (x, y, z j+ k, then the dz ▼ f) at (1, 1, 1) is

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Q: Using tabular integration, the integral ft"(-2x² + 4x) cos(2x) dx equals: 3Tt -1+ 3T 2 2 2 the above...

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Q: Solve the differential equation y2dx - 2(y4 - x) dy = 0. If y = 1 when x = 3, determine x when y = 2...

A: We are given the differential equation as y2dx-2y4-xdy=0, y(3)=1. Here, M=y2 and N=-2y4-x. Now,     ...

Q: Evaluate: ," sin" (G) TT So"sin7 cos dx

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Q: Showing all needed work, determine which of the following implies the other(s): -x.-y X V -y X-y

A: Solution :-

Q: Given a function f (x). Suppose that, the Newton's interpolating polynomial P2(x) of f (x) at the po...

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Q: Q.7) Convert each number to base ten. a. 100101two b. ABCDsixteen Q.8) Convert as indicated. a. 49 t...

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Q: ives us the equation (3- 3i)V, = -6 V, %3D

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Q: Given that y, (t) - cos tis a solution to y"-y'+y = sin t and y2 (0) 3 e 21 is a solution to y"- y' ...

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Q: [3 9 5 : A=0 4 0 1 00 0 0J Find a basis for the null space of the matrix.

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Q: Write z = 4 (cos pi/3 - i sin pi/3) in the form z = re ^ (i theta) %3D Select the correct response: ...

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Q: () ×-(; )» 1 2 K1 = X' =

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Q: Given F(x)=2f(x)-g(x) and fS-1) = 2, f'(-1) = 3,9(-1) = -5,g'(-1) = 4, find F'(-1). %3D

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Q: use the pathstest to show that the limit Dres wot Exist Fexiy) = e_I

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Q: 10z2 - Find the volume of the solid obtained by rotating about the y-axis the region bounded by y an...

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Q: 3) - 1+ dr dr

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

Q: Compute the integral of f(x, y, z) = 7y over the region within the cylinder x? + y = 4, where 0 < z ...

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Q: For the demand function q= D(p)3D 288 - p, find the following. a) The elasticity b) The elasticity a...

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Q: Determine whether the following statements are True or False:   (a) There is no injective linear tra...

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Q: If F(x,y) = 3y. i+5x-j, find SF . •dr where Cis the straight-line path from (0,0) to (1,0), to (0,1)...

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Q: Consider the function g : Zx Z → Z × Z defined by g(x, y) = (4xy, 9x + 5y). (a) Is g injective? (b) ...

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Q: 5. For n > 0 let F(n) be the number of n xn matrices with entries 0 or 1. We define F(0) = 1. (a) Fi...

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Q: 2. Solve the initial value problem, y"(t) + 3y'(t) + 2y(t) = g(t) , y(0) = 0 , /(0) = -2

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Q: Consider the differential equation: y" – 6y' + 9y = (x + 1)e3* Determine the function „, for the par...

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Q: 3. Use Relaxation method to obtain the solution of the following system of linear equation: -3x1 + x...

A: The complete solutions are given below

Q: Evaluate f'(-2) if f(x) = x* – 5 + x=2 + 4x¬4.

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Q: (1) Convert to base 10: 1101001two b) 3E5twelve c) 1773eight d) 3124 five

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Q: Consider the function of two variables defined by: f(x,y) = (x3 - y4) / (x-7210)2+(y-9245)2 What p...

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