B

Q: Let be two different bases for R². Find the matrix [f] for f relative to the basis B3 in the domain…

A:

Q: is that The necessary and sufficient condition that a curve is a plane curv ; : ; - 0.

A:

Q: Let y = 9 [3] -3 and u = 2 Write y as the sum of two orthogonal vectors, ₁ in Span {u} and 2…

A:

Q: If two inlet pipes can fill a pool in one hour and 30 minutes, and one pipe can fill the pool in two…

A:

Q: 5) Consider the following matrix: A = 1 2 20 -1 1 030 (i) Compute the adjoint of A. (ii) Use this to…

A:

Q: A force of 720 newtons stretches a spring 4 meters. A mass of 45 kilograms is attached to the end of…

A:

Q: . Let a, b € Z so that 4a + 5b is a multiple of 13. Prove that 13 divides 9a + 8b.

A: We have to show that 13 divides 9a+8b To prove this we using 4a+5b divisible by 13

Q: 4. Sin 8 = 0.625 and Cos 0=0 determine and explain without the value of the following illustrate…

A: 1a. Given,             sinθ=0.625, and  cosθ=0.500.

Q: - A stone is thrown vertically upward from a platform that is 23 feet above ground at a rate of 120…

A:

Q: Average Cost Jester Sports manufactures tennis rackets. The total cost of producing a rackets per…

A:

Q: Problem #2: Problem #2: Use Stokes' Theorem (in reverse) to evaluate (curl F) n ds where SSS F =…

A: Solution:-

Q: If AT y = b has a solution and Ax = 0, is (x¹ b = 0) or (x y = 0)? Justify your answer…

A: Given ATy=0 has a solution and Ax=0. We need to determine whether xTb=0 or xTy=0 is true.

Q: 1. Compare and contrast pyramids and cones. Be sure to use mathematical terms to describe parts of…

A: We will compare and contrast pyramids and cones.

Q: 11) Test the series for con convergence E (-1)^ sin² (3n) n n=1 = Compute the derivative d br an…

A:

Q: 1, for each of the following functions, indicate the asymptotes (with equations, like x=5 or y = 3)…

A:

Q: Solve the given initial-value problem. The DE is a Bernoulli equation. y¹/2 dy +y3/2 = 1, y(0) = 16…

A:

Q: 2. Adapt the method discussed in class (what the book calls the “expansion method" in Sec- tion 5.6)…

A:

Q: Find a piecewise smooth parametrization of the path C (the edges of the triangle in space with…

A: we will use line integral for function F along the curve r(t)  ∫CF.dr = ∫ab F(r(t)) r'(t) dr

Q: 2. (a) Let A = {1, 2, 3, 4, 5} and B = {6, 7, 8, 9} and C = {1,4}. Let f: C → B be the function…

A: Let A = {1, 2, 3, 4, 5} and B = {6, 7, 8, 9} and C = {1, 4}. Let f : C → B be the function given by…

Q: A = The eigenvalue X₁ is eigenspace is eigenspace is 0 The eigenvalue X₂ is - has two real…

A:

Q: Sketch the curve with polar equation r = cos(30), 0 ≤ 0 < 2π, plotting only the points with r≥ 0 and…

A:

Q: Determine the following system, x1 + x2 - x3 + 2x4+x5 = 0 x1 + 2x2x3 + x4 + x5 = 0 2x1 + 3x2 - x3 +…

A:

Q: 3x + 1 Prove: lim 2−0r+1 = 1.

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: 4. Given a triangle whose two angles measures are 350 34' and 810 27' determine the measure of the…

A:

Q: Determine the intervals on which the given function is concave up or down and find the points of…

A:

Q: 10. Identify the rotated conic. You can graph them in desmos.com implicitly. For the 3D functions…

A: We identify the conic.

Q: Find the smallest positive integer solution to the following system of congruence: x = 7 (mod 62) =…

A: x = 7 (mod 62)  So, there exist some integer k such that        x = 62k + 7 Then, x = 62k + 7 (mod…

Q: (i) ds Serret Frenet formulae : The arc length derivatives of all fundamental vectors t, n, b are…

A:

Q: 3. A cosine function has a maximum value of 1 and a minimum value of - 5, and a phase shift of 2,…

A:

Q: Find the flux of the vector field F across the surface S in the indicated direction. 2 F = 3x²j-z²k;…

A:

Q: 6. If A is an invertible matrix, show that its projection matrix, P, is the identity matrix, I.

A:

Q: If C(x) = 16,000 + 500x 1.6x² + 0.004x³ is the cost function and R(x) = 1700x - 7x² is the revenue…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: how to do?

A:

Q: Problem #1: Problem #1: Use Stokes' Theorem to evaluate F F dr where F = (x + 7z)i + (3x+y)j +…

A:

Q: how do we represent a function using a power series?

A:

Q: 13.3. Let y be the curve given by z(t)=t+it², 0≤ t ≤ 2. Evaluate £121²dz.

A: Here given that z(t) = t + it2, then dz = dt + 2itdt

Q: Find the equation of the line give.. he intercepts 1.) x-intercepts=5 and y-intercepts=-4 2.)…

A:

Q: 19. Jane is standing on top of a 200 foo sidewalk below on the same side of th and the angle of…

A:

Q: Show every step of the problem. That is the only way I will know how you solved the problem.…

A:

Q: Consider the vector field F = (x³y¹, x¹y³) Is this vector field Conservative? Select an answer If…

A:

Q: Show that lim 1-4 11

A:

Q: 1. Find the general solution to the system y' = Ay, where A is equal to: 4 0 1 -3 b) 3 1 81 -1 0 -1

A:

Q: Use Stokes' theorem to write a surface integral that is equal to the line integral surface S where…

A:

Q: 13. What is the interval of convergence for the power series f(x) = Σ n=1 (a) (-7,1] (e) (-1,7) (i)…

A:

Q: Consider w = F(x,y,z) = x2 + yz3 Find the equation of the tangent when x= 3, y = 2, z = 1.  At…

A: The given surface is Fx,y,z=x2+yz3. (1) The given point is x=3,y=2, z=1. We know that the equation…

Q: If x = a +0 is a singular point of a second-order linear differential equation, then the…

A:

Q: Identify and graph the polar equation. r = 2-3 cos 0 -12-10 3 6 www. 10 9 e N WY 1990 10- N * 10 12…

A:

Q: Separation of Variables Sote the separable equation: cosx cosy du se 2=-=-=-* du sin(x) y

A:

Q: Three different forces act on an object. They are: F₁ TE TE TE F₂ = = F3 = Find the net force Fnet…

A:

Q: Find the area of the region bounded by the astroid x = 16 cos ³t, y = 16 sin ³t, for 0≤t≤ 2.

A: