Evaluate 4 (1). 4

Q: 5. E=Z+, (a*b) = (a· b)/5 6. F= Q, (a*b) = (Imax(a,b)]/b) - 9

A:

Q: In Exercises 1-3, (a) compute the eigenvalues and the associated eigenvectors; (b) for each…

A:

Q: sin xdx. 3

A:

Q: Solve 3 (x² + y²) dx + x (x² + 3y² + 6y) dy = 0 ; when x = 1, y = 0

A: Given the equation 3x2+y2dx+xx2+3y2+6ydy=0...(1) The first order of the form Mx, ydx+Nx,…

Q: An aerobic exercise instructor remembers the data given in the following table, which shows the…

A: Let us determine the linear correlation coefficient for the given data in the next steps.

Q: Which of the following techniques is an analysis of the relationship between two variables to help…

A: We need to find the technique that is an analysis of the relationship between two variables to help…

Q: Q.4) The Wronskian W(e-x, e*, e2x), is: a) 6e% Q.5) The general solution of the equation yto + 9y" =…

A:

Q: Given the following function. 1, -1<x< 0 f(x) = x = 0 on [-1,1] X , 0 <x<1 (ii) Find the Fourier…

A:

Q: Find the 4th midpoint Riemann sums of function f(x)= x^2 -3x +2 on (1,3) _____ with respect to a…

A: Given function  f(x)=x2-3x+2  on (1,3) Here we find the 4th mid point Reimann sum ,so we…

Q: . Let R be the relation on Z→ Z such that ((a,b),(c,d)) eR = a+d =b+c. Show that R is an equivalence…

A: An equivalency relation on a set is a reflexive, symmetric, and transitive relationship for…

Q: Show that A° = A°-0- and A-o = A- %3D

A:

Q: dy Solve x dr + 5y = x sin (ax?)

A:

Q: Closure: 1. Write an equation that can be used to model the graph shown below: 10 Tee

A: We have a circle. The center is -6,0 and the radius is r=6 This can be seen as:

Q: find a Positive integern for which the equality holds %3D

A:

Q: 8. State the location of the x intercepts of the function y = sinx and the vertical asymptotes of…

A: this is an application of calculus.

Q: = 0.11(1 – I) – 0.03I; I € (-0.1,1.1); I(0) = 0.2; I(0) = 0.9 dt dR R - 0.1R; R E (-0.1, 10); R(0) =…

A: 4) a)dIdt=0.1I(1-I)-0.03I; I∈(-0.1,1.1); I(0)=0.2; I(0)=0.9 ⇒dIdt=-0.1I2+0.07I=-0.1I(I-0.7);…

Q: 7. G=Z+, (a*b) = |min(a,b)l/a 8. H= Q+, (a*b) = (a+b) + 10 *wh %3! %3!

A: This is not closed , because Take a=2, b=1 Then a*b= 1/2 and this does to belongs to Z+ Therefore it…

Q: 13. The area which is inside the circle r = 10cos O and to the right of the line r = sec O:

A: 13. The given curves are r=10 cosθ and r=secθ To find: area of the region bounded by the given…

Q: The linear second-order differential equation (1 — х?)у" — 2ху' + п(п + 1)у %3D 0 where n is a fixed…

A: Given that The linear second-order differential equation as: 1-x2y"-2xy'+nn+1y=0              1 (a)…

Q: Evaluate, the ie idegal- dR, where ConGists of X- the upper part g the cite i'ty the curife * 1 from…

A:

Q: the asymptote of the hyperbola given by x^2/9-y^2/4=1 has the equation

A: Let us consider the standard form of hyperbola  x2a2-y2b2=1 The asymptote of the given equation is…

Q: Prove or disprove For function f:→ R → R f(x) = x² and every onto function g(x) : [0, 00) → holds a)…

A:

Q: 2. Determine the positive root of f (x) = x10 1 using NRM and an initial guess of 0.5.

A: \Solution : The Newton-Raphson formula for this case isxi+1 = xi-xi10-110xi9which can be used to…

Q: Mark has pairs of pants in three different colors, blue, black, and brown. He has 5 colored shirts:…

A:

Q: Ive the following equations: 1. (D? - 3D + 2)y = 2x3 – 9x? + 6x

A:

Q: (i) dy The ordinary differential equation is given by xe +y with initial dx condition y(1)-1. Apply…

A:

Q: be a filter in a space X and v be the associated net

A:

Q: The hyperbola with vertices at (0, 3) and (o, - 3) and foci at (0, 5) and (0, - 5) has the equation…

A:

Q: In Exercises 1-3 we refer to lincar systems from the exercises in Sketch the phase port 1. The…

A:

Q: DO The point (1- V5,p) lies on the curve 10+2/5 y = Find the exact value of p, simplifying your…

A: We need to find the exact value of p given (1-5, p) lies on the curve y=10+25x2

Q: (a) Find the general solution to y" + 2y' + 2y = 0. (b) Write down a linear, homogenenous 2nd order…

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

Q: Can you share some experiences that show the value of growing and decaying? How do  you feel during…

A: Answer : One of the best examples of exponential growth is observed in bacteria. It takes bacteria…

Q: Evaluate the given line integral. | (y, -x)-dR, where C consists of 4y = x² from (–2, 1) to (2, 1)…

A: Here we can use Green's theorem to find the value of the integral. Green's theorem states that if C…

Q: The integral cos(x – 3) dx is transformed into , g(t)dt by applying an appropriate change of…

A:

Q: ne radius of a circle defined by the equation x- 6x + 3.46 5.0 6.0 7.0

A: Radius of the circle

Q: f) Minimize Z = 5x1 + 4x2 subject to: -4x1 + 3x2 2 -10 8x1- 10x2 s 80 X1, X2 2 0

A:

Q: x + 1 x3 +1

A:

Q: swer no. 1 and

A: 1. Given,           A=R, (a*b)=a+b

Q: UseThe Culerwe method's Sove the: dy %3D xCi+メ)。 y(0)=3,h=0.2

A: This is a problem of Numerical Analysis.

Q: - am-1 = (m + 2)(m + 1)a,m+2 %3D

A:

Q: If 4 2 R = 4 R is the matrix of a linear transformation consisting of a rotation with angle 0 and a…

A: Given the matrix R=4224. The rotation matrix is of the form R=rcosθrsinθrsinθrcosθ, where r is the…

Q: How may sets of intersecting chords are there in the figure? [6 1 12 14 73° 4 1

A: Q.6 has answer 3

Q: fn : [0, 1] → R, f„(x)= dt 1+t Show that for every x E [0, 1], this equality takes place: x2 In(1+…

A:

Q: How may inscribes angles can we generate from the figure? D 77° 75° 58° A B 4 2 8 10 6 12

A: The inscribed angle is the angle that is formed when two chords intersect each other at the…

Q: For u = 0 we obtain the logistic DE on the line: i = r - a. Draw the phase line for this system.…

A: We will be solving Question 1 as mentioned. The given logistic differential equation on the line is…

Q: y"(x) + 9y(x) = 40e* ; y(0) = 5, y'(0) = -2

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: Solve by the Laplace transform, showing the details and graphing the solution: 1. y" + 4y' + 5y =…

A:

Q: Ofind an upPer bound for the reciprocaL of the modulus of ż"-52+6 if 121=2 2Itint: z" -52²+6= (2?…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Please answer using convolution integral, n is your name's position in our google classroom H(s) =…

A:

Q: Directions: Complete the two-column proof to prove that: CD AB Given: AB = CD B Prove: CD= AB…

A: