Find the last 3 digits of 401801+ 801401 (From Number Theory)

Q: Let g : R → R be a measurable function such that fx \g|dm <∞ (here m is the Lebesgue measure). Show…

A: Please find the answer in next step

Q: a) Obtain the numerical solution of the differential equation y' = 2(1+x) -y by Euler method,…

A:

Q: Question 2 Consider the vector function r(t) that has unit tangent vector 1 T(t) = √₁+52 (1,1, 21),…

A:

Q: 1. Let S be the triangular region in R³ with vertices at (2,0,0), (0,6,0), and (0,0,3) with upward…

A: 1 Given S be the triangular region in R3 with vertices at 2,0,0, 0,6,0 and 0,0,3 with upward…

Q: (i) Let A = {1,2,3,4,5), then either find a relation on A that is not reflexive on A and not…

A: Solution:

Q: Provide inequalities for r and that precisely describe the region in the xy-plane bounded by the…

A:

Q: 5%) y" + 4y' + 4y = 4e-2x,y(0) = 4, y'(0) = 2 (Please use CH2 method)

A:

Q: Find all the possible images of (3/10, 2/5) given below. Let the point (x, y) in plane P be paired…

A:

Q: For this question, please consider the nonlinear partial differential equation ux3 + uy3 = u2.…

A: Given : ux3+uy3=u2 To Find : (i)complete solution                (ii) ux ,0 =x+1327

Q: Regular Let N be the Submodules of that quotient module M are Submodule of M. prove that of the Form…

A:

Q: 11. ¹-{][] and [][]} = (a) Find the change-of-coordinates matrix from to ß. (b) Find the…

A:

Q: The following grades, Table 1(g), were given for a student assignment, compute the mean, x, the mode…

A: Introduction: When observed data are not in grouped format, they are referred to as ungrouped data.…

Q: Let F=-yi+xj and let C be a curve consists of the line segment C₁ from (0,0) to (4,0) followed by…

A:

Q: Find the inverse la place transform f(s) = 32²2² +65 35²+12

A:

Q: Let f(x, y, z) = 9 (√x² − 4y² + 2²) √x² + 16y² + 2², where g is some nonnegative function of one…

A: Mass(dm)=(density at the point f)X(area dA)

Q: If So F.T ds = 0, then F and T are orthogonal. True O False

A:

Q: (g). (h) (i) Is f(A) connected? Explain. Is f(A) compact? Explain. with x € R+ = {x € R | x>0}. n…

A: Basic concepts and definition of compactness, connectness and limits of a function will be used in…

Q: which

A: In first part we have to find, what is the average constituency of each state . For this we apply…

Q: Britt invested some money at 8% compounded semiannually. At the end of 5 years, her investment has…

A:

Q: 17. The power required to operate a fan varies as the cube of the speed. If ½ horsepower will drive…

A:

Q: Consider the sum 6 + 12 + 18+ 24 + + 282. a. How many terms (summands) are in the sum? b. Compute…

A:

Q: 16) The series Σ(-1)+1 76mm 1 a) True b) False converges conditionally. 17) de converges if and only…

A: Solution 16: Given series is ∑n=1∞(-1)n+1arctan(n)n2 Let an=arctan(n)n2 Here an+1≤an and limn→∞an=0…

Q: The surfaces p = 3 and 5, p = 100° and 130°, and z = 3 and 4.5 identify a closed surface. (a) Find…

A: As per company guidelines we are allowed to solve maximum three sub-parts so i am solving first…

Q: Consider the cyclic permutation o = subgroup generated by o. (i) Show that H is a subgroup of A5.…

A: See answer below

Q: Find the area of the surface given by f(x, y) = 8 + 4x - 5y that lies above the region R {(x, y) :…

A: The main objective is to find the area of the surface above the region R.g

Q: The Krill which are tiny shrimplike creatures are the principal food source for the huge blue whale.…

A: Note: Hi! Thank you for your question. As per the guideline we can solve three subparts at a time in…

Q: 45 24

A: Area of circle = 150.79

Q: Use linear approximation, i.e. the tangent line, to approximate 8.4 as follows: Let f(x)= V. The…

A: slope at a point is given by its derivative at that point.Equation of line can be found by slope and…

Q: Question 3 Let F=-yi+xj and let C be a curve consists of the line segment C₁ from (0,0) to (4,0)…

A:

Q: Consider the problem Form the complementary solution to the homogeneous equation. TE ÿc (t) = C₁ +…

A: Introduction: When the matrix (transformation) is applied, some vectors (eigenvectors) change based…

Q: Find the eccentricity e and distance d from the pole to the directrix. I dentify the cenic and…

A:

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (5t – 1) 750 4 S…

A:

Q: Consider the following linear transformation and basis. Find the standard matrix A for the linear…

A:

Q: Calculus dy f(y), where f(y) is a dt The phase line for a differential equation differentiable…

A:

Q: (d) (e) Determine the range f(A) where A = (a, 0] for some fixed a < 0,a # Determine the supremum…

A:

Q: The solution of the Ordinary Differential Equation y(3) - 4y" + 5y' = 0 is: a. C₁+e²x (c₂cos(x) +…

A:

Q: Let W be a subspace spanned by the u's, and write y as the sum of a vector in W and a vector…

A: In this question, the concept of the Orthogonal Decomposition theorem is applied. The vector…

Q: The 'marginal profit' of a good or service is defined as the instantaneous rate of change of the…

A: The profit function is provided as: P(x)=25x+0.0002x3. We need to use the limit definition for the…

Q: The circle below has radius 1, and the longer circular arc joining A and B is twice as long as the…

A:

Q: Let C be the boundary of the portion of the plane x+y+z=2 that lies in the first octant, oriented…

A:

Q: The function  H gives the height, above the ground, of a point on a spinning wheel. The function A…

A: The height of a wheel can be modeled by  the following sinusoidal model:   H(3t) = D. sin[B(3t) +E]…

Q: У 125 mm 125 mm 200 mm 200 mm 150 mm 60 mm X

A:

Q: Show that the graph is 2-colorable by finding a 2-coloring. If the graph is not 2-colorable, explain…

A:

Q: 2. 20 mm 140 mm 100 mm Yo Xo 20 mm 100 mm 20 mm

A: Given figure,

Q: The plot of the vector field F is given below. Place the following line integrals in the correct…

A: For the given vector field F , to place the line integral in correct order :-

Q: Let T be a linear operator on a real vector space V , and define f : V × V → R by f(x, y) = (x, T y)…

A: As per company guidelines we are allowed to solved maximum three sub-parts so i am solving first…

Q: Find the radius of convergence, R, of the series. R= 00 Σ n = 1 I= 7"n²x" Find the interval, I, of…

A:

Q: Let F = -yi+xj and let C be a curve consists of the line segment C₁ from (0,0) to (4,0) followed by…

A:

Q: Let F= (x, y², 2²). (a.) Let E be bounded below by xy-plane and above by the sphere x² + y2 + 2² =…

A: Given :   F=x2 , y2 , z2      ;     x2 + y2 +z2 =1 To Find : (a) Flux               (b) flux through…

Q: Suppose an automobile is moving with increasing velocity and that we measure the car's velocity…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three sub…