Prove that equation 2x ^2 y - y^3 + xz^2 = 40 has a positive integer solution. Prove by finding one such solution.

Q: Write a set of parametric equations for the surface of revolution obtained by revolving the graph of…

A: Parametric equation: Let f and g be continuous functions on an interval I. Then, and , where t is a…

Q: Let A and B be finite sets such that number of elements in A is 20,B is28 n(AuB)' is 36, find the…

A:

Q: 1) If A = 35 01 (49) and B-(4) -4 2 -6 Find:- a) BA b) |B| = c) Adjoint A d) B-1

A:

Q: 1. Use the minimum-entry and u-v methods to solve the following balanced minimum-cost trans-…

A:

Q: Consider the direction field below for a differential equation. Use the graph to find the…

A: Given that:       We have to find the equilibrium solution using this graph.

Q: The president of Hill Enterprises, Terri Hill, projects the firm's aggregate demand requirements…

A:

Q: The SUTA rate for Thomson Temp Agency is 5.4% and its FUTA rate is 6% less the 5.4% SUTA credit. If…

A: Given,The SUTA rate for Thomson Temp Agency is 5.4% and its FUTA rate is 6% less the 5.4% SUTA…

Q: (10) 4+31 & Let Trigonometric form of is rcosc +r sin o As such here, rcos = 4 ring = 3 Squaring the…

A:

Q: Find the area of the region. y=1/2x^2, y=3x^2, x+y=4, x ≥ 0

A: Given that the curves:            To find the area of the region.

Q: Find a positive integer less than 6 for x that sat 2x + 340 = 1703 (mod 5).

A:

Q: whether (-77) n! is convergent

A:

Q: f is a 27-periodic function with the following Fourier coefficients ao = 0 a₁ = b₁ = 0 a2 = 0 b₂ = 0…

A: Let      given that the coefficient of Fourier seriesa0=0a1= 1/3b1=0a2 = b2 =0 = a3 = b3Then series…

Q: (i) Show, using calculus (meaning do not simply use graphs) and the Fixed Point Theo- rem, that the…

A: As per the question we are given a function and we have to show that it has a unique fixed point,…

Q: 7. Let fn [a, b] → R be Riemann integrable and suppose that fn → funiformly on [a, b]. (a) Prove…

A:

Q: Read the example at the bottom of p34 of the notes, concerning the limit of the sequence (1/n). For…

A:

Q: Part 1: Let M = 4 2 5 -5 48] 5 -15 -5 12 and let b 15 60 Part 2: Use the fact that = [24] 6 .There…

A:

Q: Can you answer part c, d and e of the question?

A: As salesman offers to deposit 30% followed by 12 monthly payments of $1150 for Bruce to purchase car…

Q: A rectangular piece of cardboard of size 16 inches by 20 inches is to be used in a factory to create…

A: (a) The dimensions of the plan view and 3D view, as shown below:Here are the dimensions of resulting…

Q: Quadratic Interpolation • a strategy for improving the estimate by introducing some curvature into…

A:

Q: 24. If the second derivative f" exists at a value xo, show that f(xo + h) - 2f(xo) + f(xo − h) h²…

A:

Q: Problem 0.3 diverge: (1) m=0 1+n³ (2) Σ^=15"+3" (3) Σn=0 1-n+n² 1 In(n) Determine whether the…

A: Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: 2. What point in the feasible region minimizes the objective function? Hint: graph constraints using…

A:

Q: The surface integral is rewritten incorrectly. F((x, y)) is incorrect. The tangent vectors T, and T,…

A: We will identify the first error in the given work shown.

Q: Which of the following probability distributions is best suited to the scenario where you're…

A: probability distributions is best suited to the scenario where you're recording how many times…

Q: Let P₂ be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned…

A: a. We have to find the dimension of the subspace H. b. We have to check whether {4 - (9x2 + 3x), 7 -…

Q: Show that p (p(n)) ≤n/2, for n ≥ 2.

A:

Q: Problem 1: Given the function below, please find the maxima, minima, and the intervals where the…

A:

Q: Your answer is partially correct. State the starting value a, the growth factor b, and the…

A:

Q: 30. All Smiles Dental Clinic would like to develop a hygienist master schedule for the treatment of…

A: Given information:Five full-time hygienists are scheduled  days a week.Each hygienist can treat…

Q: Let ƒ(t) = 0 3(t 6 - if t 6 Find the Laplace transform, F(s) of f(t).

A: We have to find Laplace transform,  of .

Q: Prove that the system 3x + 4y + 5z =a, 4x + 5y + 6z = b and 5x + 6y + 7: solution unless z + c = 2b

A: Given system of linear equations

Q: Problem 0.5 For each sequence [an}a1, find lim an by rational- izing the expression and determine…

A: (1)  Given that…

Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE AND DETAILED SOLUTIONS FOR BETTER UNDERSTANDING.…

A: Given: A table showing the velocity for different values of .To find the value of velocity at  using…

Q: e diagram below shows the function f(x) drawn to scale. 10 į -3 -2 -1 8 6 4 2 -2 -4 -6 -8 0 1 3 5

A:

Q: Use the graph to evaluate the following expressions. (a) (fog)(1) (b) (g of)(2) (c) (go g)(0) (a)…

A:

Q: A graph of f(x) = x³ + 8x² + 9x −26 shows that the equation x³ + 8x² + 9x − 26 = 0 will have a…

A:

Q: Part 1: Let M solution to M = 2 0 5 5 -15 -5 48 -5 12 and let b= = 15 60 [24] 6 3 .There is a very…

A: Part 1- we can write the given matrix into equation form

Q: 3. Display an argument to show that the Gamma Function is defined for s> 0. T(s) = f e-¹4³-1 dt. 0

A:

Q: a) If the initial data uo is a bounded, compactly supported function then show that t lution u…

A:

Q: f 02 3 mere dz zi #-[21]) Z + N N 2 e*3% and Z=

A:

Q: Say you have 5 points with integer coordinates (i.e. (3,-1)). Show that there must be two points…

A:

Q: Solve the following int 3 2 Sin³x cośx dx rive

A:

Q: 5. Find an orthonormal basis for the subspace of R³ given by {(x, y, z)T : x − y+ z =0}

A:

Q: Use the binomial theorem to expand (2c − 3d)^4 discrete structures (counting and probability unit)

A:

Q: Find the eigenvalues and eigenfunctions for the following boundary value problem (with X > 0). y" +…

A: We have the given differential equation..Now the auxiliary equation can be written asthe general…

Q: 排班 Z 35 Z10) Z where Z=1/Z₁ 了一 | 2₂ and Z [ Z₂

A:

Q: Ulia primeive Toute 95. Find all primes p ≤ 29 such that 2 is a primitive root modulo p.

A: Here we have to find all primes less than 29 or equal to 29 having primitive root 2.

Q: 3. Please prove[x"In(x)] = x¹Jn-1(x) and [x"n(x)]= -x¯¹]n+1(x) dx

A: (.) We have to prove,(.) Bessel's functions  is given by,

Q: -10 Calculate M¹0 using a diagonalization process. M = 2 5 - 4 1 4 has eigenvalues, 1 1.

A:

Q: Exercise 1 (Br(a) is closed). Recall that for a € R" and r > 0, we define Br(a) = B(a, r) := {x € R"…

A: