Give a solution to the system 3 1 - 29 æ(0) by solving the IVP with initial condition #(t) exp( t)cos( t) exp( t) sin( t) Note: Use the eigenvalue that makes the argument to the trig functions positve for t > 0.

Q: VAVyPry FVyxPyx

A: The main objective is to prove that the predicate is true.

Q: I. Show that the function f defined by 1, (x, y) = (1, – 1) f(x, y): x2 + y (x, y) # (1, – 1) x +y…

A:

Q: Q4: A- solve the differential equations: i- y"-2y'+y = e' ii- (x+1)y'+2(x+1 ! 2+1 x+1

A:

Q: Determine the value of lim, 5x²+5 x²+3x+7 Answer:

A:

Q: Consider the function f(x) = x2+1 (a) Find the intercepts of the graph of f (if any). (b) Find the…

A:

Q: One estimate for the ideal body weight of a woman is shown below. Use this information to answer…

A: Given that one estimate for the ideal body weight of a woman is shown below  50kg+1.6kg for each…

Q: For f(x) = x – 2 and ag = 0, bo Apply the bisection method and calculate bz (right endpoint after 2…

A:

Q: Use the method of reduction of order to find a second solution to y'' – 16y : Given y1 (x) =…

A:

Q: 3. Classify the following PDE, reduce it to the canonical form and then find its solution: 1 Uzz -…

A: Hyperbolic pde

Q: Find the definite integral 5 tan(x)dx using strips of width for the trapezium rule correct to three…

A:

Q: 11. Consider the weighted voting system [g: 8, 4, 2, 1]. Enter your answers as percentages to two…

A:

Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

A:

Q: Let A be the point with coordinates (-3, -2, 3) and let B be the point with coordinates (2, 0, 0).…

A: To find the distance from point D to line l.

Q: iv. lim h(a) =L v. lim h(r) = vi. lim h(x) = T -00

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

Q: Use integration by parts to evaluate 2x cos (x) dx

A:

Q: Use either integration by substitution or integration by parts as needed to evaluate x2+1 -dx x³ +…

A:

Q: Let A be the point with coordinates (-3, 2, -1) and let B be the point with coordinates (2, 0, 0).…

A:

Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

A: To find the surface area of the below plane that is in the first octant. 15x−5z+20y=35

Q: Find all integral solutions of the linear Diophantine equations 6x + 11y = 41

A: We recall a standard theorem about Linear Diophantine Equation and then use that theorem to solve…

Q: Use Simpson's rule with interval h = 1 to determine the approximate value of V(1 + x³ )dx. Give…

A:

Q: -3 1 -3 If A = -2 4 and B = 0. -2 then what is 3A - 2B ? %3D -1 -2 4

A:

Q: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the high…

A:

Q: Determine the linear approximation of f(x) = x° at x = 1. a. y= 8x +7 b. y=- 8 x - 7 C. Not in the…

A:

Q: 2) Find the volume of the solid under the plane z 3x + y and above the region determined by y = x'…

A:

Q: Determine the linear approximation of f(x) = x' at x = 1. а. у3 9х +8 O b. Not in the list О с. у--…

A:

Q: If f is just that

A: Given,           ∂f∂x=ex-sin(x+y)+cos(x+y), and ∂f∂y=-exsin(x+y).

Q: -1 324. Evaluate: [ sin -1 x – cos VI dx - sin Vx + cos

A:

Q: ) Use six rectangles to find estimates of each type for the area under the given graph of f, the…

A: To use six rectangels to find estiamates of each type for the area under the given graph.

Q: Find the angle between two vectors a = (3,4,0) and b = (4,4, 2). %3D cos-(금) O b. cos-) c. cos) O d.…

A: We need to find the angle between the vectors a=(3,4,0) and b=(4,4,2) We know a·b=|a||b|cos(θ) here…

Q: (2) Consider the autonomous differential equation V = 4 - for a function y = y(t). (a) What are the…

A: Given autonomous differential equation is y'=y4-y2 Solution a: For equilibrium solution…

Q: show its 3d version using geogebra

A: We have the unit vector asa^=2299152, -9, -72The 3D figure of the unit vector in Geogebra is as…

Q: let a and b be real numbers. Prove by contraposition that, if a + b is greater than or equal to 100,…

A: Given that a and b be real numbers And a+b≥100 Then we have to prove that a>39 or b>60. Let…

Q: Let R be a ring with unity which has exactly one maximal left ideal M. Show that the only…

A: Given: R is a ring with unity which has exactly one maximal left ideal M. To show: The only…

Q: Given the IVP: y" - 4 y' +4 y = 6, y(0) =0, y'(0) = 3 %3D A) Use the Laplace transform to find Y(s).…

A:

Q: Q.1 Determine the centroid - 240 mm- r= 90 mm 120 mm

A:

Q: Answer the questions below based on the graph G. e2 es VI ei e4 V4 eil es es VI Vs es e9 Vs e10 1.…

A: In a given graph G,  There are 8 vertices and 11 edges  1) vertex set of G is  { V1, V2, V3, V4, V5,…

Q: x²+2x²y–2xy+2xy² –3y² The expression is equal to x+y

A:

Q: A quadratic polynomial y = 4x +7x – 3 has roots p and q. Find a quadratic g(x), = x² + ax + ß with…

A:

Q: x²+2x?y-2xy+2xy –3y The expression is equal to x+y

A:

Q: 6. Consider a control system given by 1 2 2 2 1 3 3 () u, ra, with r(0) (1,0,0). Find a control…

A: The solution is given below

Q: Let a € Zz be a zero of the irreducible polynomial p(x) = x3 + x² + 2 in Z3[x]. a. What is |Z3(a)|?…

A:

Q: x³-10 Find the domain and the vertical asymptotes, if any, of the following function x2+17x+72 O a.…

A:

Q: Suppose that a,beG such that a = m and b =n with Gcd (m,n) = 1. Then n | is in mn

A: Suppose that a, b∈G such that a=mb=n and Gcdm, n=1 i.e., m and n are relatively prime. We will find…

Q: Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of…

A:

Q: Assume that T is a linear transformation. Find the standard matrix of T. TR?-R? is a vertical shear…

A: We will use the given information to answer the given question.

Q: Use determinants to find x in the below equations: 5x + y - 3z = 0 - 9x + 2y + 5z -1= 0 4x + y -…

A:

Q: 1, bx? )- 2 cx² +d' xdx =? -ax? ab.cand d are constants. Find the solution analytically.

A: ∫0∞e-ax2e-12bx2cx2+dxdx Substitute, x2=t , then 2xdx=dt  ,   when x=0 ,t=0 and x=∞ ,t=∞

Q: Work Problem 1: Show your work. *): : Determine whether the series Question 1 a) [*. 1 Σ n=1 (2n-…

A:

Q: hón + 3 2(- 1)"-1 n=1 n²+ 3 a) Determine whether or not the series is absolutely convergent. b)…

A:

Q: Prove that f(x) = (x- 1)2 + (x + 1)? is an even function. A function k(x) is an even function if…

A: