d³y Find the order and degree of the differential equation:- + dx3 d4y dx4 = = 2xy- dy dx .

Q: Given the complex numbers find the real and imaginary parts of the complex number Re() = Im (7) =…

A: Given:z=−1+5iandw=3+9izw=−1+5i3+9iTo rationalize the denominator, multiply both the numerator and…

Q: 5. The revenue and operating cost of a car wash facility are given by R(x) = 13x - 0.7x2 and C(x) =…

A: The revenue and operating cost of a car wash facility are given by and where  represents the…

Q: 18 dx 2x + x√x S

A: The objective of the question is to find the integral of the function 18(2x + x√x) with respect to…

Q: Find the area of the lune ABCD at right using Hippocrates' quadrature of the lune ideas. The…

A:

Q: 9. A loop on a roller coaster has its highest point at 42 m and it's lowest point at 18 m. If the…

A: (9)Given that the highest point is at 42 m and the lowest point is at 18 m, the amplitude A of the…

Q: Problem #3: Find the maximum of f(x, y) = 23 In(13x7y7) + 12 subject to x² + y² = 25, x > 0, y > 0.

A: We will find the maximum value.

Q: : A lender providing a loan of $5.5 million requires semi-annual payment of interest at a nominal…

A:

Q: Let x = Express as a linear combination of 7₁, 72, and 73, and find Ax. Ax = be eigenvectors of the…

A:

Q: Find the critical points of the function f(x, y) = x² + y² + 4x − 2y + 2. List your answers as…

A: To find the critical points of the function , we need to find the points where both partial…

Q: Determine the minor attached to the element a21 of the following 3 x 3 matrix: 2 -1 0 1 - 2 3 0 4 -3…

A: The minor attached to the element a21​ is 3. Below in the explanation part, there is the detailed…

Q: Prove that |A \(BUC) = (A \ B) \ C.

A: We have to prove in explanation section please check it.Explanation:If you have any questions please…

Q: The dot product of two vectors can be written in the form x = 00 s+ X1 X2 and y = in R" is defined…

A:

Q: estion 3. Let {An}nen. Prove that if for every nEN, BC An, then BCN An- nEN

A: The argument has been proved.Explanation:

Q: Find the following Eigenvalues and corresponding Eige vectors. Verify that the Eigenvectors are…

A: The objective of this question is to find the eigenvalues and corresponding eigenvectors of the…

Q: For the ODE xy" - 2y + 9x5y = 0, what is the resulting ODE for y(t) under the change of variables t…

A:

Q: Plz correct  solution.

A: The objective of the question is two-fold. First, we need to verify that the set L is an affine…

Q: y 3. y'= ✓ {yln(y)-x=cy} x + y

A:

Q: 4. For each equivalence below, either provide a derivation from one side of the equivalence to the…

A: 4. a) Consider the logical equivalence:It is required to either provide a derivation (a series of…

Q: Correct solution.

A: The objective of the question is two-fold. First, we need to verify that the set L is an affine…

Q: The total curvature of the portion of a smooth curve that runs from s=So to s₁ > So can be found by…

A: Given equation of helixr→(t)=(8cos⁡t)i→+(8sin⁡t)j→+tk→ Where…

Q: Can you correct what I did wrong in part a?

A: 1. (a) The problem done is fine, but the variable n can be changed according to choice. Explanation:

Q: Minimize: =4x+5y Subject to: 10x 5y100 20x+10y 150 x+y12 0 y 20

A:

Q: Question 2 (a). Let v(0) = sin(0), where is in radians. Graph v(0). Label intercepts, maximum…

A: Given function is (a) Noted that In other words , maximum values of  is  and attained minimum values…

Q: Use the Egyptian method to multiply 35 by 21.

A: Explanation for Egyptian methodThe Egyptian method of multiplication is an ancient technique that…

Q: Calculate by means of the logarithm: a) x¹+2log x= 100.x log x b) log(x+2)+log(x-7) = 2.log (x-4) c)…

A: We  have to calculate this equation by means of logarithm.Note: According to the guidelines we are…

Q: Calculate exp(A) where A is the 2 x 2 matrix given by [3 A = 7-2 5 5

A:

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT SOLVE BY BERNOULLI OR INTEGRATING FACTO

A: A differential equation of the form is a Bernoulli differential equation.A differential equation of…

Q: Find the surface area of the surface generated by revolving y = 3x3 about x-axis where 3 ≤ x ≤ 4

A:

Q: A rectangular card is 10 cm wide. The card is folded so that the vertex D falls at point D' on…

A:

Q: Problem #9: Use the method of variation of parameters to find a particular solution to the following…

A: Here, we have to use method of variation of parameters to find particular solution of given…

Q: 8. True or false: If f is analytic at each point of a closed contour I, then fr f(z) dz = 0. If true…

A: The objective of the question is to determine the validity of the statement: If a function f is…

Q: B = (1, x+1, x² + x) forms an ordered basis for P3. Give the B-coordinate vector of each of the…

A: The coordinate vector of v with respect to  is given by such that .(a) Given .Comparing the…

Q: If then rank(A) A² = = A = 2 0 C 0 -1 -2 - -1 and 2 5 " 9- 10 IND 9- 11 11

A:

Q: Using Archimedes' ideas only, find the area of the segment of the parabola shown at right. Very…

A: According to Arcidemes, the first step is to construct a triangle with same base and same height.…

Q: Label the following as TRUE or FALSE, according to Euclid's Elements. a. 5 is parts of 45. b. A…

A: a. TRUEAccording to Euclid's Elements, one number is said to be a part of another number if it…

Q: Find the average value of f over the given rectangle f(x, y) = 2x²y, R has vertices (-5, 0), (-5,…

A: Let  be the area of the region , then the average value of the function over the region  is given…

Q: An "interpretation" for a logical statement consists of a domain D (any non-empty set of elements)…

A: Given, three statements:a) b) c) It is required to provide interpretations for each which they are…

Q: c. 7.389056-In(t − 2) > e²

A: To solve the inequality 7.389056−ln(t−2)>e2, we'll follow these steps:Add ln(t−2) to both sides…

Q: Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be…

A: We have to calculate the future value of the investment after 100 years with 9% interest compounded…

Q: 6: Consider the same system as given in the previous problem: 5xu²+4y49 3xy(u²²)=0 It is known that…

A:

Q: A completed project consisted of the following activities, many of which were delayed: Activity…

A: A completed project consisted of the following activities, which are listed in the table.Activity…

Q: Consider the function f(x, y) = 2x² - y² + 4x + 6y subject to x + 2y = 20 a) Write down the first…

A: Consider the function  subject to .Let .To find the extreme points of the function  subject to the…

Q: Q3) +4ƒ=0,0≤x≤1.0 ax² Subject to the boundary conditions: f(0)=0 f(1) = 1

A: We have to solve the differential equation .The boundary condition is

Q: Derive the formula for the calculation of the EA activation energy E from the Arrhenius equation: k₁…

A:

Q: 7. Find T(t), N(t), and B(t) for r(t) = (t³ − 4t)ỉ + (5t² − 2)j

A:

Q: 5. Determine the period of the sinusoidal function y = 0.75 cos 90°x -0.5. a. 4 C. -0.5 b. 90° d.…

A: (5) We need to find the period of the sinusoidal function .(6) We need to describe the…

Q: f = x² + x³x²+1, g = x³ + 1 in Q[x];

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: Find the absolute minimum and absolute maximum of on the closed triangular region with vertices (0,…

A: We have given, Find the partial derivatives:for critical points inside the region:  which is not…

Q: Please help me with these questions. I

A: The objective of this question is to find the first six terms of the sequence defined by the…

Q: Assume A is row equivalent to B. Find bases for NulA, ColA, and Row A. [1065] 0253 0000 A = -2 2 -3…

A: