Find the center of mass of a thin plate of constant density & covering the region bounded by the parabola y= 2x and the line y = 8. The center of mass is located at (x, ) -O (Simplify your answer. Type an ordered pair.)

Q: Determine the definiteness of the quadratic form q(x) = xỉ + 2V6x,X2 + 2x3

A:

Q: Based on the table below, evaluate f(7). f(7) = 1 3 4 f(x) | 7 69 21 31 67 22 19 Submit Question

A:

Q: Using second-shifting theorem find, F(s) where f(t) = e-4t sin 3t

A:

Q: Let G be an Abelian group and define H to be the set of all elements of G with finite order. Follow ...

A:

Q: R.2. Prove that if A and B – C are disjoint, then AN BCC.

A:

Q: xye-(2²+v°+z*). Find all points (x, y, z) such that Vf(x,y, z) : Question 2. Consider the function f...

A:

Q: 2C Jr-ct Question 1. Consider the second order partial differential equation (1) for an unknown real...

A:

Q: Find the Taylor polynomial T3(x) for the function f centered at the number a. f(x) = In(x), a = 1 Gr...

A:

Q: ( 6s + 1 Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Wri...

A: We want to find L-116s+1

Q: z2+ 25 (b) lim Z 5i z-5i

A:

Q: Graph the linear inequality y ≥ 3x + 5

A: We have to draw graph of linear inequality  y ≥ 3x + 5 

Q: 1 3 -1 5 9. Let A = -1 0 -2 -2 1 1 1 3 (a) Find a basis for the row space of A. (b) Find a basis for...

A:

Q: 1 Use the forward-difference formulas and backward-difference formulas to determine each missing ent...

A:

Q: How many nonzero terms of the Maclaurin series for ln(1 + x) do you need to use to estimate ln(1.2) ...

A: The expansion for ln1+x can be written as follows:

Q: dx + 2- + x = u(t) x(0) = x'(0) = 1 dt %3D %3D dt

A:

Q: Calculate the value of D in detail D3 – 2D2 + D – 2 = 0

A: The given equation is D3-2D2+D-2=0 One root of D is D=2  Use synthetic division  1    -2    1   -2  ...

Q: alue y(0) e of y(0.1) es)

A:

Q: 1.14. (y")? – 3yy' +xy = 0 1.16. tš - tš =1- sint d"x * = y² +1 dy" 1.18.

A:

Q: Siven a mean, standard deviation, and a raw score, find the corresponding z-score. Assume the distri...

A: Given mean, standard deviation and raw score to find the corresponding z-score.

Q: i f(t) is given E ue of f(0.5) is

A:

Q: 2) x – 2y = x°cos4x 3) x = y+x³ + 3x² – 4) +x = 4cos2y dy

A: 2)  xdydx -2y = x3cos(4x)⇒ dydx -2xy = x2cos(4x)This is a linear differential equationI.F. = e∫-2xdx...

Q: The solution of the differential equation y" – xy' + y = 0 is y = ce¯* + cze2* y = 1- x? D This opti...

A:

Q: .2 49. у — х — 1

A:

Q: Consider the following two ordered bases of R°: {{1,1, – 1), (1, 2, –1), (–1,1,0)}, {(1,1, – 1), (1,...

A:

Q: The following data give approximations to the integral M = sin x dx. h (3) = 1.896119, N () N (h) = ...

A:

Q: G0o Suppose the random variable has the cdf 0, x < -3 F(z) = 12-3 <I<: -3<I<

A: Introduction: A random variable has two types of the distribution functions. These are the probabili...

Q: B. EXACT EQUATIONS Find the general solution of the following differential eqo (1) (x2 +y2) + 2xy dy...

A:

Q: f(x) = cos(T.x)+ sin(27x).

A:

Q: Let A be an m x n matrix, and let b1,..., bk be vectors in R" such that the system b; has a solution...

A: This question related to linear algebra's topic linearly independent set. 

Q: Find an LU factorization of the matrix A (with L unit lower triangular). 4 8 A = 16 30

A:

Q: A solid body of revolution has a radius r = 2x2 + 0.2x, 0 <x < 0.5 Find its volume • 0.5 V = Tr?dx b...

A: Given that a solid of revolution has a radius r=2x2+0.2x, where 0≤x≤0.5. Therefore its volume can be...

Q: 1. y,=e"; y;=e*; L.I. 2. y, =xe"; y:=e"; L.I. 3. y, =senx + cos 2x; y;=3; L.D. 4. y, =x; y, =e; y,=x...

A: We have to check whether the given expression is linearly independent or not.

Q: Evaluate, 8e 3 2230° express your answer in exponential form. 2x O 4e 4e 3 O 4e O 4e 4e공

A: First we write 2&lt;30°in exponential form then we will write the final answer.

Q: O max(x,z) О тах(хә 10xz + 3x + z suисh that 3 > 6х + 3z. О mincә 10xz+ 3x + z such that 3 6х + 3z

A:

Q: Show the following property |(B+c)D BD+ CD.

A: We have to show  (B+C)D=BD+CD

Q: Show that the Vingof CamPlex humbers CFst Can be imbedlaling inaring off 2x2 matvices (Mzn

A:

Q: Which of the following functions are solutions of the differential equation y' + 2xy = 14x? 7x2+4 O ...

A: We find the solution of the differential equation and then compare the solution by taking suitable c...

Q: Find the values of the unknowns using any method applicable. 5а + 2b — 6с+ 4d — е %3D 6 2а — b — с —...

A:

Q: 3. Use the binomial theorem to find the coefficient of x° in (x+2)3 2. Use the L theorem to find the...

A:

Q: Solve the differential equation using series: (x2 - 1)y'' + xy' - y = 0

A:

Q: Let g(x) bound on |g(x) - T2(x)|, where T2(x) is the second degree Taylor polynomial, centred at x =...

A:

Q: y=2 | -r

A: The given problem is to evaluate the given definite integral, we can solve it by using substitution ...

Q: Question 1 Determine whether each series converges or diverges. Be sure to name the test used and th...

A:

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A:

Q: After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the rai...

A: Given : Equation of parabolic rainbow y=-x2+36.

Q: Convert 1100101, to decimal notation.

A: Given binary number 11001012 we have to convert into decimal notation (base 10)

Q: Question 2. Let G be a finite group, H 3 G, N 4G, and gcd(|H|, |G/N|) = 1. Prove that H 3N.

A:

Q: [9] Let A = {a, b, c, d} and B = {1, 2, 3}. Define a function F: A → B as follows: F3(а, 3), (b, 3),...

A:

Q: = xye-(a*+v'+z*). Find all points (x, y, z) such that Vf(x,y, z) Question 2. OConsider the function ...

A: We have to find all point (x , y, z) such that the gradient of f(x, y, z) = (0, 0, 0).

Q: ne graph Is shown below. Use the graph of the function to find its average rate of Simplify your ans...

A: INTRODUCTION: The formula of the average rate of change of the function f(x) from x1 to x2 is given ...