Find the coordinate vector of a = [*]B= -10-30- 2 with respect to the basis B = for R³.

Q: Ornithologists have determined that some species of birds tend to avoid flights over large bodies of…

A:

Q: Use a graphing utility to find u × v, and then show that it is orthogonal to both u and v.u = (0, 1,…

A:

Q: 17. Let u = u(x, y), where x = s² and y = st. Compute the following partial I= derivatives: ut, Us,…

A:

Q: Suppose the function f(x) has a domain of all real numbers except x = -7. The first derivative of…

A: It is given that       f'(x) = 4(x - 3)/(x + 7)3    Hence, f'(x) ≥ 0    => 4(x - 3)/(x + 7)3 ≥ 0…

Q: Exercise 3. Let T be a set such that |T| ≥ 3 and let G = Sym(T) be the group of permutations of T.…

A:

Q: A pulse (gas) travelling along a fine straight uniform tube filled with gas causes the density at…

A: Introduction: The continuity equation is a fundamental equation in fluid dynamics that shows the…

Q: 2.) Find the absolute maximum and minimum of the function f(x) = x³ +1.5x² - 6x +3.5 on the interval…

A: Solution: (2). The given function is  f(x) = x3+ 1.5x2 -6x +3.5 f'x= 3x2+ 3x -6  f''x=6x+3 For…

Q: Give a acalar equation for a plane at distance 6 from the plane P with equation x+2y+2z = 5. 0-0

A:

Q: Recall that lines through the origin are subspaces of R². 2x and W₂ is the line y = If W₁ is the…

A: Given, W1 is the line y=2x and W2 is the line y=-3x ,we have to find which statements are true about…

Q: Find Fourier series F(x) = cos ² x Find aora, az [0,1]

A:

Q: The set is a basis for R². Find the coordinates of the vector a = [*]B= 0 [-24] relative to the…

A:

Q: Suppose is an eigenvalue for the second-order equation d²y dy + p +qy = 0. dt² dt Show that V = (1,…

A:

Q: In Exercises 1-6, find the general solution of the differential equation specified. 3 = -y+t t 1. 3.…

A:

Q: Find: L-1[- لته – دي 1 53

A: We have to find the inverse Laplace transformation of the function 1s3-a3 i.e. ℒ-11s3-a3 .

Q: Evaluate the integral for the following data. F = [2x, 5y, 0], S:r = [u, v, 4u + 3v],0 ≤ u ≤ 1,-8 ≤…

A:

Q: his is an example of an Undamped Forced Oscillation where the phenomenon of Beats Occurs. ind the…

A:

Q: Find all solutions of the system. 3x = 1 (mod 5) 2x = 3 (mod 7) 5x=11 (mod 3)

A:

Q: 3. dy R dt = y 1+t +1²

A:

Q: If the velocity of an the point (x, y, z) is given by 3x3 313 332 - r2 r5 r5 imcompressible fluid at…

A: Here  u=3xzr5, v=3yzr5, w=3z2-r2r5 where r2=x2+y2+z2. Then,       ∂u∂x=3zr5-15x2zr7,…

Q: {{][]} [-2]

A: Introduction: To find the change of basis matrix you have to express one basis elements into linear…

Q: Let X = {a, e, h, l, r, t, w}, Y = {1, 2, 5, 7, 17, 18, 21, 27, 30}, and ƒ : X → Y with ƒ = {(a,…

A:

Q: Prove that n³-n is divisible by 3 for all positive integers n.

A: We have to prove that n3-n is divisible by 3 for all positive integers n. n3-n=n(n2-1)…

Q: Find the area of the region inside the lemniscate ²-6 cos 20 and outside the circle r=√3. Sketch a…

A: Given curve, r2=6cos2θr=3

Q: To make a trend analysis of six evenly spaced data points, one can use orthogonal polynomials with…

A:

Q: Find the coordinate matrix of x in Rn relative to the basis B'. B' = {(8, 11, 0), (7, 0, 10), (1, 4,…

A:

Q: more recent study involved 124 older adults with mild cognitive impairment (MCI), which is an early…

A: Please fino the details in the next step.

Q: Solve the system of equations. 4x-7y+z=16 x+y=5 Select the correct choice below and, if necessary,…

A:

Q: A regression analysis between sales (Y) and advertising (X) (both in dollars) resulted in the…

A: Given that the regression analysis between sales Y and advertising X resulted in the following…

Q: Find the mass and center of mass of the trianular lamina shown below, if the density function is…

A: We have to find the mass and center of mass of the given lamina. The density function is P(x,y)=16x

Q: Exercise: Let B = 2 4 -3 -6 2 7 4 2 -1 -3 -3 1 -3 1 EEEE -1 -2 2 4 2 -2 1 0 30 020 -2 -5 4 2 7 02…

A:

Q: In Exercises 11-12, use the inversion algorithm to find the i verse of the matrix (if the inverse…

A:

Q: In Exercises 7-12, solve the given initial-value problem. dy dt 7. 9. 11. dy dt dy dt dy dt = y 1+t…

A: According to bartleby guidelines we do only first question and next question can be reposted…

Q: Use a least squares approximation to find the best linear fit (i.e., the best line), L(t) = C + Dt,…

A: The given problem is to find the best fit line L(t)=C+Dt by finding the values y-intercept C and…

Q: Consider the following expressions as functions of a with domain equal to the open interval (0, 1)…

A: Domain of the function is 0,1, codomain is ℝ The function is bounded attain  and attains absolute…

Q: Show the graphs of the functions f and g given below together on the same screen. (Use the standard…

A: Given: f=x+3g=4-x To Do: We have to show the graphs of the functions f and g on the same screen.

Q: ) Let B be a basis. Prove that [cu] = c[u] where u is a vector and c is a scalar.

A: Let u be vector space. A linearly independent spanning set for u  is called basis for u.

Q: Let L₁ be the line passing through the points Q₁-(-1, -3, 1) and Q₂=(-4, -6, 2). Find a value of k…

A:

Q: QUESTION 1 Is relation R on set of all integers reflexive where (x,y) ER if x is a multiple of y?…

A:

Q: The yearly profit P for a widget producer is a function of the number n of widgets sold. The formula…

A: Given: The yearly profit P for a widget producer is a function of the number n of widgets sold. The…

Q: ABC is a triangle of 45 sq in. P is a point on AB such that AP is two-thirds of AB and PQ is drawn…

A:

Q: how this relates to  one step above the red underlined portion in the step

A: Let us name the equations as 1,2 and 3 for our convenience.

Q: Consider the functions f(x) = 10x7, g(x) = 10x - 3 Determine the following compositions of…

A:

Q: Which of the following represents the contour map of the function √√₁²-x f(x, y) (A) (D) (G) 10 0.5…

A: To Find: Which of the figure represent the contour map of the function fx ,y=y2-x.

Q: On our optimization handout, we listed steps in solving optimization problems. Step 1 is to draw a…

A: a) we have to find A in terms of r and y b) we have to write equation of constraint c) we have to…

Q: Find the general solution of the following system of differential equations: d dt Xx Y U = -2 0 2 -2…

A: Given: The system of the differential equation. ddtxyzu=-20-11-1/2-2-1/21/210-4-120-2-3xyzu To Find:…

Q: 5. Evaluate J by using the change of variables given by a = the region in the first quadrant bounded…

A: The given of this question is a double integral in the (x,y)-plane with integrand x2y2 over a region…

Q: Find the Laplace Transformer for the following function [8 sin²t cos²t] L t

A: Given: The given function is 8 sin2t cos2tt. To find: We have to find the Laplace Transformer of the…

Q: Use a software program or a graphing utility with matrix capabilities to find the transition matrix…

A:

Q: 30 year mortgage rates have a 6% APR You can pay bank one time payment of 5000 to receive a lower 30…

A: To solve this problem, we need to find the present value of the monthly mortgage payments at both…

Q: How can numerical methods find solutions to systems of equations? Provide your own explanation of…

A: From intermediate value theorem we know a function fx is real valued and continuous  in a closed…