find the equation of the line passing through (2,3) and the point of intersection of the lines 2y-x = 5 and y + 4x = 2

Q: 1. ydx + x(Iпx — Iпу — 1)dy %3D 0 У(1) %3D е |

A:

Q: Solve the following homogeneous LDE and identify which case it follows (Case 1: distinct roots; Case...

A: Given  4y'' + y' = 8y

Q: 14. Determine if each subset below is a subspace of R. (a) Span (b) Span (c) x2 |1 = 0 • {}--} (d) x...

A:

Q: Is A = 2 an eigenvalue of ? Why or why not?

A:

Q: y² ) sin(a Lsin(m)

A:

Q: 4. Consider the weighted voting system [14: 14, 10, 2, 1]. a. What is the quota? b. How many players...

A:

Q: 1. Use the Root Test to determine if the series (-1)" 2/n en? (2n² – 1)" n=1 converges or diverges.

A: Solution:-

Q: 文

A: Solution

Q: P(+x | +y)? P(X,Y) Y 0.2 P(-x | +y) ? ++ +y +X -y 0.3 +y 0.4 -X 0.1 - P(-y | +x) ?

A:

Q: Find the volume generated by revolving about the line x=0 the area bounded by the curve y^(1/2) = (x...

A:

Q: Show that the general solution of the equation 4,32.xy°u, = 0 is given by where f is an arbitrary fu...

A:

Q: Determine the values of m so that the roots of 2a? ma – 8 = 0 differ by m -1. O 9 and 3 O -10/3 and ...

A:

Q: Consider the power series (2.x + 3)" V2n² + n –1 (a) Determine the interval and radius of convergenc...

A:

Q: onsider the function f(x, y) = x^2+ y^2 + 2x − 2y + 1, subject to the constraint x^2 + y^2 = 2. (a) ...

A: Given function: fx,y=x2+y2+2x−2y+1 To use the Lagrange Multiplier method to determine the extreme va...

Q: 4ay ana y" 4ax is to be revolved aro or the: ) Plane Area ) First Moment with respect to x - axis an...

A: Note- “Since you have posted a question with multiple sub-parts, we will solve the first three sub-p...

Q: n the region enclosed by the given curves. y - cos(x), y - sin(2x), Osxs 1 6. IN । ० KIN

A: Introduction: The area of the region enclosed by the curves y=f(x) and y=g(x) with a≤x≤b is given by...

Q: 1. The following picture shows à 5 5 square that has been subdivided in a particular way. A. Write d...

A: We will use sum of infinite GP( geometric progression ) here    a+ar+ar2+ar3+.........∞=a1-r  , r&lt...

Q: 1. Prove that for every real number x, if |x-3| > 3 then x² > 6x. (Hint: Consider two cases)

A: Solution

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A:

Q: Consider the following transfer function: 2s° + 5s2 + 3s + 6 D F(s): = A + s3 + 6s? + 1 1s + 6 S + 1...

A:

Q: sin @ 225

A: We have to find value of sin(225∘)

Q: sold obtained by rotating the region bounded by the given curves about the specified line. x = 25y. ...

A:

Q: Find the volume of the region bounded by the plane z = -x - 2y + 2, and the planes x = 0, y = 0, and...

A:

Q: The cabinet that will enclose the Acrosonic model D loudspeaker system will be rectangular and will ...

A: Given- The cabinet that will enclose the Acrosonic model D loudspeaker system will be rectangular an...

Q: Use the graph of the exponential function  f(x) = abx + c  to find the following information.   (a) ...

A:

Q: 2. Compute the minimal polynomial of the following matrix (with coefficients in R) WITHOUT comput- i...

A: We have to find the minimal polynomial of the given matrix M=-1033-1856-1865. Let M2+aM+bI3=0 where ...

Q: Problem: A person who is 6 feet tall is walking away from a lamp post at the rate of 40 feet per min...

A:

Q: Use metaphor/layman's term to discuss Ridder's method for solving nonlinear equations

A: To discuss: The Ridder's method for solving nonlinear equations.  

Q: Use the Root Test to determine if the serieS Σ (-1)" 2/n en? (2n2 – 1)" CONVERGES - n=1 converges or...

A: We have power series ,  ∑n = 1∞nn4 + 12x - 13n We need to find interval of convergence. We know the ...

Q: What is the median of a normally distributed random variable with mean ? and standard deviation ??

A: Normal distribution, also known as the Gaussian distribution, is a probability distribution that is ...

Q: [3) is defined by f (x) = 15, Зх +4 and 5х-7 Show that if f:R- →R- 7x+4 8:R- is defined by g(x) = , ...

A:

Q: dy of the following and simplify if possible: dx Determine 3.1 y= Jlnx -8x 3.2 y = 32x + tan x 3.3 y...

A: We have to find dy/dx.

Q: Find the coefficient a, of the Fourier series representation of the function with period 2n defined ...

A:

Q: Given the series ŏ (-2)"** ydetermine the Smellest nthat レンい n' willallow Sny the nth partial sum, t...

A:

Q: When gcd(a, b) = 1, prove σ(ab) = σ(a)σ(b) and find σ(200) and σ(720).

A:

Q: Determine the prime factors of all numbers through 50, and write the numbers as the product of their...

A: We have to find the prime factor of 50.

Q: Samuel sells furniture. He receives a base salary of Php 2400 a week plus a commission on his weekly...

A:

Q: For each of the following matrices (with coefficients in R) compute the characteristic polynomial an...

A: Note: Our guidelines we are supposed to answer only three subpart . Kindly repost other subpart as t...

Q: If a graph has 4 vertices with degrees 1, 2, 2, 3 how many edges does the graph have. Show such a gr...

A: .

Q: if võ zo, JT = 1 and Jū= 2 estimate Vo by constructing Logrange pelynemial, then with the exact valu...

A:

Q: A diet is to contain at least 1003 units of carbohydrates, 2815 unids of protsins, and 2660 calories...

A:

Q: Frank measured the heights of the trees near his house. The heights (in feet) he recorded are 31, 41...

A:

Q: Write an equation for the function graphed below 4 3.

A:

Q: Q1: Solve the differential equations below: 1 2 2хy with the initial condition y(1)=1? - y2 y3

A:

Q: Let T: V → V be a linear operator whose characteristic polynomial is pT(x)=x2(x−1)3(x+2)2. Judge eac...

A:

Q: Determine if each statement below is true or false. 1. Suppose AB AC. Then B = C. 2. (A+ B)" = A" + ...

A: By Bartleby policy I have to solve first 3 subparts. Repost separately remaining questions. Solution...

Q: H.W : Repeat size h=o.l and Compare with step the error with the Euler's methed,

A: Euler's method: For a given differential equation dydx=f(x,y), Euler's method is defined as yn+1=yn+...

Q: The cabinet that will enclose the Acrosonic model D loudspeaker system will be rectangular and will ...

A: Given- The cabinet that will enclose the Acrosonic model D loudspeaker system will be rectangular an...

Q: n=] Зп + 2 (а) 5n + 3 n=1 102n+5n! (е) (2n)! n=1 n! (f) n" n=1

A:

Q: Use cylindrical or spherical coordinates, whichever seems more appropriate. Find the volume of the s...

A: Given:A sphere of radius 10 by two planes that intersect along a diameter at an angle of π/2.