Given F(x, y) = x² + y² and the system of ODEs 3 x = y, y = -x + Y what is the value of along solutions?

Q: could you answer e) please

A: We will find how initial value make changes in rate of change in a function

Q: Derive a three-point formula of order O(h²) to approximate f'(ro) that uses f(xo-h), f(ro), f(xo +…

A:

Q: 23. Every element in Z4 Z8 has order 8. . TRUE ● FALSE An is a normal subgroup of Sn. TRUE FALSE 24.…

A:

Q: C is the intersection curve between the paraboloid z=x²+y² and

A: Given that C is the intersection curve between the paraboloid z=x2+y2 and the cylinder x2+y2=1.

Q: 3. find the length of the vector with initial point P(-3,4,1) and terminal point Q(-5,2,2)

A: Solution :

Q: what is the log trans formed. form of t

A: Given,         V=aPb

Q: 5. Let A be the linear transformation R2 R2 that first reflects vectors across the line y=z, then…

A: see my solution

Q: 2.3.9 Using the third-order Adams-Bashforth method (start the process with two second-order…

A: Write the Adams-Bashforth Predictor formula as follows:

Q: Find the Fourier series for the periodic function giving below: -1, -π < t < -π/2 -π/2 < t < π/2…

A:

Q: Evaluate S. So dy 0 dx √√[y(1+x²)]

A: Problem is solved using concept of integral.

Q: (a) the volume of R using cylindrical coordinates with dV = r dz dr de where R: 0< x≤ 1,0 ≤ y ≤ √1-…

A: see my solutions

Q: Let ū== = [1,2,0]T and 7 = = [1,0, 3]T. (a) (2 points) What is span{u, u}? (You can describe this…

A:

Q: (b) In the figure, AOC and BOE are straight lines. Angle A and angle B are equal. ED is equal to CD.…

A:

Q: 1. In the Taylor series expansion of e* about x = 2, the coefficient of (x - 2)4 is (a) 24 (b) 4! 4!…

A: The Taylor series expansion of a function f(x) about the point x=a is…

Q: For any vector u, v E R³, v. (uxu) (uxu) = 0.

A:

Q: Solve the following non-linear equations: 2 100x₁ - 10x₂² + 5x3³ = 70 3x₁² + 10x₂-X₁X3 = 5 X₁X₂ +…

A: Thank you for the question. According to our guidelines we can answer only  first question and…

Q: 8. (a) Sketch the graph of f'(x) by using the given graph of y = = f(x). I ¦ f(xX ¦ 11 r-x--r 14

A:

Q: Let X= (6, 7, 8, 9) and let the relation R on X be given by R = {(x, y): 3 z c N₁ x + z = y}, where…

A:

Q: 18. An external direct product G₁ G₂ G₂of a finite number of cyclic groups is cyclic if and only if…

A:

Q: [ €³ºf¹ (x) dx = e²f(x) − [ eª f(x) - dx

A:

Q: 1. Let lim ||fn - f|| ₁² (1) = 0 n-00 Where I = [0,1]. Show that: lim | fn9ndμ = √fgdµ n-00 I and…

A:

Q: What is the coefficient of x²x²3x4 in (x₁ + x2 + x3+x₁)?

A:

Q: Set up the triple integral that will give the following: (b) the volume of the solid B that lies…

A: Relation between cartesian and spherical system  x=ρ sinφ cosθ , y= ρ sinφ sinθ , z= ρ cosφ Where ρ…

Q: 3. A small metal bar, whose initial temperature was 20° C, is dropped into a large container of…

A:

Q: Problem 9. and cookies. A baker uses the same symmetric cookie cutter to make both cakes (a). When…

A: As per the question we are given a closed area (shaded portion on the graph), along with its…

Q: b) The coefficients of the following system are taken from GF(2). Solve it using Gaus- sian…

A:

Q: Find the formula for the number of ways for putting n identical balls into k distinct boxes so that…

A: Answer is given using concept of permutations and combinations.

Q: r+∞ If $5 f(x) dx diverges, then so is •+∞ 88 f(x) dx.

A:

Q: ACME Thingamjigs ltd. produces two types of thingamajigs, Type 1 and Type 2. The demand for…

A:

Q: Si(x)-()* and £2(x)-(+) = fill in the blank (more/less): 10 rapidly than ₂ 4. Given the functions…

A:

Q: write a program by using if statement to identify the number you entered, if the number is greater…

A: We shall write a C++ program by using if statement to identify the number you entered, if the number…

Q: Find the Taylor series for f centered at 5 if f(n) (5) (-1)^n! 3^(n + 2) Σ (1 ]) n = 0 What is the…

A:

Q: If f(x) ≤ g(x) for all x in [a, +∞o) and converges. •+∞ f(x) da converges, then [*** g(x) dx also

A:

Q: (B) Use Tabular integration f(t³-4t² to evaluate the following: - + 5t+ 32) sin(t)dt

A:

Q: 7. Ax (5+, 10+) where A-Z*

A: Please see the attachment

Q: a) How many derangements ) How many derangements has the set S? of S have 9 in the 2nd position and…

A:

Q: seconds after the start of the movement. (B) Use Tabular integration to evaluate the following: -…

A:

Q: (MATRICES) Solve the following problems as directed. Show complete solutions and box the final…

A:

Q: H.W: if w=√x2 + y2 + z2, x= erCose, yerSine, z=ee prove that aw/ar = e²r/w and aw/00 = e²0/w

A:

Q: X 4. Given the functions f(x)=( and £2(x)=(-1* fill in the blank (more/less): 2 10 f increases…

A:

Q: Let X= (6, 7, 8, 9) and let the relation R on X be given by R= {(x, y): 3 z e N₁ x + z = y}, where N…

A:

Q: (b) compute an estimate of x(1.2) for the initial- value problem dx =x²e", x(0.5) = 0.5 dt using…

A: Problem (b) is solved using the second-order Adams-Bashforth Method.

Q: 2. Let S be the set [9] = {1.2..9}. 1 (D) How many derangements of S have 9 in the 2nd position and…

A: We have the set 9=1,2,...,9 We need to find the number of derangements. There are 9 places to fill…

Q: (a) Determine whether 2 is a primitive element in Z37. (b) Find an element of Z37 that has order 12.

A:

Q: Evaluate: (2) A5₁ Clearly showing your working

A: We need to evaluate i. The meaning of a5(2) is the present value of an immediate annuity of an…

Q: 7. Consider the differential equation y(1-ysin(x))dx + (2x+3ycos(x))dy = 0. a) Find an appropriate…

A:

Q: ch letter exactly

A:

Q: Let H= [] : 7x² + 8y² ≤1 scalar-to show that H is not a subspace of R2. H is not a subspace of R2…

A:

Q: 6. For the function f(=) = ²+ = -2² (a) find the poles and determine the residues at each pole; (b)…

A: Definition:  Consider the function f(z) with an isolated singularity at z0 and the Laurent series…

Q: Q #2. Explain how the graph of g is obtained from the graph of f. Graph both f and g on the same…

A: The vertical shift in the graph of y=f(x) is represented by the transformation function: y=f(x)±n.…