Find the canonical prime factorization and solve for No. of positive divisor and sum of positive of 124,155. Prove that if a and b are both positive, and a2 < b2 then a < b Use Indirect Proof Find the canonical prime factorization 567 900

Q: Evaluate the integral by changing the order of integration in an appropriate way. 18 + z) dx dy dz…

A: Evaluation of triple integrals by Using order of change of integrals

Q: Both sets below are bases for P,: P = {pj• P2. P3} = {1+r?, 1+2r, t + 2r²} Q = {q,• 92» 93} = {1+3t…

A:

Q: ew quadratic form 4x, 4xx2 - x What is the most preciso classification for the quadratic form? OA.…

A: Sol

Q: Classify the quadratic form below. Then make a change of variable, x= Py, that transforms the…

A:

Q: d'y -2xy 0 dx Show that the power series solution of the above differential equation at x 0, y=1 and…

A:

Q: 9. 3y=x'-2xr-15x; y=x -4x-11x+30 |

A: We will find point of intersection and then draw curves . Then find area by using integration for…

Q: . Let C be the curve with parametric equations V2 - t? x = 3/2 8 1 t+ 2 where t e [0, +). V2 8 (a)…

A:

Q: Find the sum of the coefficients of ( 3x + 2y -2)⁸.

A:

Q: *(u pou) q. Therefore, the solutions are those integers x such that x = a (m)-1b (mod m). Example…

A:

Q: rapezoidal Rule at x = where n = 8 Sin x f(x) = omberg Integration with 5 and 8 segments (2 ex sinx

A: We have to approximate the integral using trapezoidal rule.

Q: Let H„(x) = (-1)" -w that h, E L² (R). , x € R, n E No, and let h„(x) dan e H„(x)e¯

A: Sol

Q: 2.69 Let if 0 < x <, n fn (x) = 0 if x € (0, 1) \ (0, 4), for all n E N. For each a E [0, 1], find…

A:

Q: Let C1 be the circle r = cos 0 and C2 be the petal of the rose r = V3 cos(20) that is to the right…

A: Given C1: r=cosθC2: r=3cos2θ

Q: 1.86 Prove or give a counterexample: Every open cover of a finite subset of R has a finite subcover.…

A: We need to determine whether given statement is True or False. Every Open cover of finite subset of…

Q: Find the area of the region specified in polar coordinates. the region enclosed by the curve r = 8…

A:

Q: The Fourier series for the Odd Square Wave with period T and amplitude A is: fosd square() = A · Eo…

A:

Q: The hill has the shape of a cone, which in the XYZ system has the equation z = 4 - sqrt(x^2+y^2) A…

A: Given that hill has the shape of the cone given by z=4-x2+y2 and the tourist moves uphill whose path…

Q: Answer the following questions concerning the double integral below. 4–z² x dy dx (1) Sketch the…

A: As per guidelines we experts are allowed solve maximum three sub-parts at one time. So kindly…

Q: h(t) = V3t – V2t²,t # 0. (Rationalize the denominator in your final answer.)

A:

Q: Mr. Smith is purchasing a $90000 hoyse. The down payment is 20% of the price of the house. He is…

A:

Q: 5 (9 9 () 2. Find a reduced residue system modulo 2", where m is a positive integer. in a reduced…

A: To find a reduced residue system modulo 2m, where m is a positive integer.

Q: · A linear system is given by the following equations 1 xi + x2 2x1 + x2 – 3 3x1 – x2 – X3 1 %3D 3.…

A:

Q: 6. tanh (0.573 - j0.783)

A:

Q: The equation of motion of a train is given by dv mk (1–e“)- m %3D dt where v is the speed, t is the…

A:

Q: Let C, be the circle r = 3cose and C2 the cardioid r= 1 + cose. (a) Find all point(s) of…

A: We have to find point of intersection by equating both r .  For perimeter need to use arc length of…

Q: Find the average distance from a point P(x, v) in the first two quadrants of the disk x2 + v s25 to…

A: Given: We have given point first two quadrant of disc   x2+y2≤25 and origin. We need to calculate…

Q: Both sets below are bases for P,: P = {pj, P2, P3} = {1+r?, 1+2t, t + 2r?} Q = {q,, 42, 93} = {1+3t…

A:

Q: 2.) Suppose E is the solid which is inside he sphere x + y² + z² = 4 and above the plane z = V3. a.)…

A: The given curves are x2+y2+z2=4 and plane z=3.

Q: Evaluate the following. Show complete solution and your answer must be in simplified form. Your…

A:

Q: Question 10 Change the Cartesian integral to an equivalent polar integral, and then evaluate. 15 225…

A: Conversion of Cartesian coordinates integral to polar integrals

Q: Shown above is a slope field for which of the following differential equations? dydx =x/y the…

A:

Q: 9 Sam collects commemorative stamps. Among his favorites are Maria Goeppert Mayer stamps and the new…

A:

Q: e -4s The laplace transform of f(t)= 02 s+2 Select one: O True O False

A: We want to find laplace transform of given function.

Q: Question 9 Line 3 results from a valid application of Material Equivalence to lines 1 and 2. 1. (L…

A: Since you have posted a multiple question according to guildlines I will solve first question(Q9)…

Q: Indicate the solution to the system of linear equations by typing your solution in the boxes…

A: We want to find value of x and y

Q: Use Stokes' Theorem to find the circulation of F = 2yi + 3zj + 7xk around the triangle obtained by…

A: Here we have to solve the given problem using stokes' theorem.

Q: D Question 27 Which inference rule allow us to introduce a new letter to a proof? [1]. conjunction…

A: Since you have posted a multiple  question according to guildlines I will solve first  (Q27)…

Q: Find a sin²(x) dr. 16 +1 R

A:

Q: A loan of $1,070 was repaid at the end of 18 months with a check for $1,095 What annual rate of…

A:

Q: II. Calculate the determinants of the matrices using the cofactor method. 1 1 01 3 1 1 b. -1 0 3 1 3…

A:

Q: 15)Use the ratio test to detarmine ewheeher ehe series is convergant or divergent ADentify an =?…

A:

Q: Stock in Company A sells for ​$94 a share and has a​ 3-year average annual return of ​$24 a share.…

A: Given,Derek wants to minimze the risk while investing in two stocks in companies A and B.To find:…

Q: Let f: (0, 1] x R R be continuous, define g : R R by g(v) = f(x, u)dr, %3D and suppose is continuous…

A:

Q: Classify the quadratic form below. Then make a change of variable, x= Py, that transforms the…

A:

Q: 1- Solve the problem P.D.E. Uz = Uxx + sin(nx) + sin(2nx) 0 <x<1 0<t< 00 B.C.s u(0, t) = 0 lu(1,t) =…

A:

Q: 10. Let ø: Q(V2) → Q(v2) be the map given by ø(a+bv2) = a-bv2. Show that o is a Q-linear field…

A:

Q: The joint PDF of X and Y is given by f (x, y) = x+ 0 0 and y E (0, 1), derive E[X | Y = y] in terms…

A:

Q: 1.10.6 Show, by expansion of the surface integral, that S, do x V lim = V x V. sdt-0 fdr Hint.…

A:

Q: .Write a MATLAB code as discrete Chebyshev spectral solver for the following problem: u, =e", -1<x<l…

A: Sol

Q: In 7 years Harry and Sally would like to have $20,000 for a down payment on a house. How much should…

A: