Define T: R² R² by T(x) = Ax, where A is the matrix defined below. Find a basis B for R² with the property that [T]g is diagonal. - 3 -6 4[*] A = 8 11 B= ³-(-4) -1 [T] =

Q: function of a real x], where [x] deno an or equal to x. (up to 2 decir

A:

Q: Let f(x) = 29. x²+9 (i) Find any intercepts with the coordinate axes. Find the equation of any…

A:

Q: 3 a +3 75 "

A:

Q: Solve using: a) Newton's method of approximation b) Secant Method Es = .00005 Find the positive root…

A:

Q: Suppose that A and B are disjoint finite sets. Prove that AUB is finite.

A: Here are given sets A and B are finite sets. Then A=m, B=n  where m, n any fixed positive integer.…

Q: Given the graph below, what can you say about the function at x = -1? Continuous Not Continuous

A: From the graph we can say that left hand limit at x=-1 is 1, whereas right hand limit at x=-1 is 2.…

Q: A Korean corn dog is a cylindrical piece of hotdog, rice cake, or mozzarella cheese, evenly coated…

A: Given: Calculate how much larger (in cm2) the cross-sectional area of the XXL item C is compared to…

Q: sing the laplace transformation table,

A: a. Given,        Lt-e-4t2sec24ttan4t

Q: Q3. Find the homogeneous solution for the given D.E using the Power Series method y' + 2xy = 0

A: Given differential equation is ,                 y' + 2xy = 0 Let Power series solution is ,…

Q: Solve the initial value problem. y9y" - 400y = 0, y(0) = y(0) = y" (0) = 0, y" (0) = 123

A:

Q: 15. A palindrome is a word that can be read the same way in either direction (such as RACECAR). How…

A: Here We can use basic counting and making the boxes in whch we try to fill the letters and then try…

Q: Which function is Chain Rule most useful for? Composite function Polynomial function Logarithmic…

A:

Q: 2 2 4 0 3. Let y = ‚ū₁ 0 -1 -3 Find the best approximation to y in W. Computation: and u₂ = 5 -2 4 2…

A:

Q: Which of the following is a unit normal vector to the plane with Cartesian equation 27-422-50?…

A: Given equation of plane is 2x-y+2z-5=0   To Choose the unit normal vector to the given equation of…

Q: Find the distance from the point S(0,0,12) to the line L: x= 4t , y = -2t z = 2t 3

A: Follow the steps.

Q: 2.2 Use the density in (b) and give iterated integrals for the mass of the region R in terms of…

A: In polar coordinates system , density =kx In Polar coordinates system , x=rcosθ , y= rsinθ and tanθ…

Q: If a company wanted to save each year $4500 for 6 years, but not start saving until year 4, in order…

A:

Q: Find the area of ​​the region that lies inside r = 1 - sin (θ) and outside r = 2 + sin (θ).

A: We have to use the integration method to find the area between two polar curves. First we have to…

Q: (1).p^((Vq)^-p) → q); (2). ¬(p →(pVg))^r.

A: This is a question of Logic.

Q: A ball at 1200K is allowed to cool down in air at an ambient temperature of 300K Assuming heat is…

A: Given differential equation dTdt=-4.00×10-12×T4-81×108  ………………1 Here f(t,T)=-4.00×10-12×T4-81×108…

Q: ne - x) 250 √x(2

A:

Q: Solve using: a) Newton's method of approximation b) Secant Method Es = .00005 x³ -x-1=0

A: We have to Solve using: Given Equation is x3 - x - 1 =0 a) Newton's method of approximation b)…

Q: H.W: Calculate the Fourier series for the waveform -16 at n = odd Ans. ao n² π² 1 & an= 0 at n= even…

A:

Q: Q2. Find the value of (v1' and v2') for the both given D.E's if we use the variation of parameters…

A:

Q: 5 10 √2 (h) A = 10 2 α ; discuss your answer in dependence on the value of the parameters √2 a a,…

A:

Q: Convert ¹4-42(4-4x²-y²) dydr into a triple integral with dV = dydzdx.

A: Given integral is ∫-11∫-4-4x24-4x24-4x2-y2dydx Which is the integral of volume. So z=4-4x2-y2…

Q: Let A be uncountable and B be countable. Prove that A\B is uncountable.

A:

Q: The Population of a small town,p, is modelled by the function p(t)=10 050 + 255t-20t^2, where t is…

A: Solution :- p(t)=10050 + 255t-20t2 (a) The average rate of change of a function ft on an interval a,…

Q: n +∞ Determine whether the series Σn=1 3n+¹ ln(n + 1) is convergent or divergent.

A: The given series is      ∑n=1∞n23n+1lnn+1 To prove: the given series is converges or not.

Q: Prove that provided f(z) is analytic at Res (z = ∞0) = lim [-zf (2)] ZIX

A:

Q: Define T: R² R² by T(x) = Ax, where A is the matrix defined below. Find a basis B for R² with the…

A: Use the given information.

Q: What is the derivative of y = (3x + 1)7? dx dy = 6 (3x + 1)²1 = 6 (3x + 1)² ¤ 7 (3x + 1)6 - = 21 (3x…

A:

Q: Please write clearly and understandable way. Write all the corresponding Given with their…

A: Introduction: The formula for the moment of inertia of a region about the y-axis is given by,…

Q: If x=t-4, find L[(xe¯x)]

A:

Q: 4. perpendicular to the line = y = Give the general equation of the plane containing the point…

A: Given that the plane containing the point  3,−1,4 and perpendicular to the line x2=y=2−z−3. We have…

Q: A skydiver weighing 193 lbf (including equipment) falls vertically downward from an altitude of 5000…

A:

Q: Mr. Espinoza's debt of P160,000 is amortized by making equal payments at the end of every three…

A:

Q: Determine the dimensions of a rectangular box, open at the top, having a 7. volume of 32 ft3, and…

A:

Q: Find the Taylor series expansion of f(x) = ln(3-2x) about a = = 1.

A: The Taylor series of a function: f(x) about x=a is defined as: f(x)=∑n=0∞f(n)(a)n!(x−a)n.  The above…

Q: QUESTION 6 Let V = WW+ where V is a finite-dimensional inner product space over C and W is a…

A:

Q: 3- - 플 플 sin²cyl y จน

A:

Q: (k) A= B², where B is a symmetric negative-definite matrix;

A: In part (k), we are given that A=B2 where B is a symmetric negative-definite matrix. Since B is…

Q: (ii) Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A:

Q: 3. Determine the vector equation for the line with symmetric equations*=3+22=1

A: Given: Symmetric equation of line: x-34=y+25=z-13 To find: Vector equation of line.

Q: 2. A line passes through the points P(4, -3) and Q(6,2). Write the following equations of the line:…

A: Given the points  P(4,-3), Q(6,2)

Q: Determine whether each of the following statements is true or false. If a statement is true,…

A: This is the problem of Laplace Transformation.

Q: Find a particular solution of the indicated linear system that satisfies the initial conditions X₁…

A: given with

Q: Please solve 5CA - 10A.

A:

Q: then the ² u - y² is მყ2

A:

Q: [13] Consider Ut - Uzz = 0, 0 0, u,(0, t) = 0, u(1, t) = 0, t> 0, u(x,0) = f(x), 0≤x≤ 1. (a) Find…

A: