Determine whether the two planes x-y + 2z = 1 -x-y +z = 3 are parallel or intersecting. Find their line of intersection if they are intersecting.

Q: dx S Jo 16+x²

A:

Q: Determine by inspection whether the vectors are linearly independent. Justify your answer. 4 6 8 6 9…

A:

Q: Using double integrals, show that the volume of the tetrahedron in the first octant with vertices…

A:

Q: Find the particular solution of the differential equation (x+1)+ xy = (x + 1)²e-³x, y(0) = 4

A: *By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: JA ITI system is described by the D.E. y +6 Y+8y=2X(t)_ find h(t), then find y(t) if X(t) =…

A:

Q: Find a general solution in powers of x of the differential equation. State the recurrence relation…

A: We will start with  a general  power series an=∑n=0∞xn and then plug in into given differential…

Q: Embassy Motorcycles (EM) manufactures two lightweight motorcycles designed for easy handling and…

A:

Q: 6. A large jar contains an unknown number of red gumballs and 150 green gumballs. As part of a…

A:

Q: The second angle of a triangle is 30 more than the first angle. The third angle is three times the…

A:

Q: 8 A LTI system is described by the D.E. ÿ + 6 ý +8y -2t find h(t), then find y(t) if X(t) = te²t…

A:

Q: Find the radius of convergence, R, of the series. x4n n (In(n))² R = 8 Σn n = 2 Find the interval,…

A:

Q: Find the radius of convergence, R, of the series. R = 8 Σ n = 1 I = xn 1.3.5. .... (2n-1) Find the…

A: Given series is ∑n=1∞xn1·3·5·...·(2n-1)

Q: Find the radius of convergence, R, of the series. xn R = 8 n = 1 135... (2n-1) Find the interval, I,…

A:

Q: DISCRETE MATHS (GRAPH THEORY) Based on the images attached, determine whether the following graphs…

A:

Q: Use a parametrization to express the area of the surface as a double integral. Then evaluate the…

A:

Q: Given y4) — 6y" — 36y" + 216y' = t² + 8 + t sint, determine a suitable form for Y(t) if the method…

A: The given non-homogeneous linear differential equation has the form fDy=gt, where fD=D4-D3-36D2+216D…

Q: 39. y (0, 3) C.4 D. 7 R What is the length of RL? A. 6 B. 5 L (4,0) X

A: In the given problem Length of the line is RL=5 Hence option (C) is correct.

Q: Sketch the region enclosed by the given curves. y = 6 cos(7x),    y = 6 sin(14x),    x = 0,    x =…

A:

Q: Q=hp ( 6 + +^ ^ ) + xp (x + -+²)

A:

Q: e this antiderivative to compute the following improper integral: 00 e¹t cos(2t) est dt et cos(2t)…

A: In this question, the concept of Laplace Transform is applied. Laplace Transform The Laplace…

Q: Find the exact value of the following double integrals: a. S² S/² √ysin(y) dydx Ꮭ Hint: Switch order…

A:

Q: Describe the steps in words that you would use to show that (x - a) is a factor of x" — a". Your…

A: Introduction: A statement P(n), where n is a natural number, is an example. Then, employ the…

Q: Test the series for convergence or divergence. 97² n! n = 1 O convergent divergent

A:

Q: Consider the following funtions in F[0,2π]: r(x) = sin²(x) s(x) = = cos²(x) For each of the…

A: Given that r(x) = sin2(x) s(x) = cos2(x) Now we will use r rather than r(x) to represent the…

Q: a) Find the Fourier series of function, f(x) given below: 0₂ for -≤x≤0 x²; for 0≤x≤ which is assumed…

A:

Q: Suppose U = {1, 2, 3, 4, 5, a, b, c) is a universal set with the subset A = {a, b, c, 1, 2, 3, 4).…

A:

Q: Determine necess when Pdollars invested rate Componded annually, monthly, daily, and continuously. x…

A:

Q: Which of the following statements is TRUE about a smooth function fat (a, b), if f(a, b) = c, fxx…

A: Given two questions as follows  1. 2.

Q: 4.3. Show that the function f(x) = Ja² sin, if x 0, 0, if x = 0 is not of a bounded variation over…

A:

Q: 1. Find the domain and range for the function z = f(x, y) where f(x, y) = ln ((4x² - y²)(x² + y² -…

A: To Find: Domain and Range of the function f(x,y)=ln((4-x2-y2)(x2+y2-1)).

Q: The spheres x² + y² + z² = a² and (x − b)² + y² + z² = (b − a)² are tangent at the point ○ (−6, 0,…

A: You have posted multiple questions , As per our policies answering first question.

Q: 1. When the function x is of a single variable e.g x= x(t) then the differential is termed (a) First…

A: When x is function of single variable t then differential of x = x(t) is given by  d(x) = d(x(t)).

Q: Describe the steps in words that you would use to show that (x - a) is a factor of x" - a". Your…

A: Introduction: A statement P(n), where n is a natural number, is an example. Then, employ the…

Q: Exercise 13. Show the following results. 1/sin z 1 + tan x (a) lim I-0 1+tanhr = 1 (b) | lim(2* +3*…

A:

Q: Alice, Bob, Carol, and Dave are sharing n cookies. Alice wants any positive number of cookies. Bob…

A:

Q: Verify Stokes' theorem. Assume that the surface S is oriented upward. F=3zi−5xj+2yk; S that portion…

A: Stokes theorem  ∫CF→.dr→=∫∫S∇×F→.dS→Where  S be a surface  bounded by a  closed, smooth boundary…

Q: f told that |A| = 18 find the possible value(s) for x                                3x        x…

A:

Q: Find the radius of convergence, R, of the series. xn R = 8 Σ n = 1 I = 1.3.5 (2n-1) Find the…

A: A series ∑n=1∞an will be convergence  If L=limn→∞an+1an<1

Q: Which quadratic function matches this graph? O f(x) = x² − 14x +45 O f(x)=x²- 11x + 28 O f(x) = x² +…

A: As per our guidelines we have to answer the first question if multiple questions are posted at a…

Q: Write the interpretation of independent vectors, span, basis and dimension. Take the example of…

A: We have to give the interpretation of independent vectors, span, basis and dimension by taking the…

Q: 13. Calculate the simple interest on a bank loan of $200,000 for a month, with a quoted rate of 6%…

A:

Q: Use Euler's method to make the graph of the following functions on the given interval. a) dx/dt = t…

A: Introduction: The Euler's method is a basic and numerical method to approximate an initial value…

Q: Linear Algebra Find a,b,c the polynomial in p(t)= at² + bt + c has the coordinates [p]_B= [3, -1,…

A:

Q: Let T: R² → R² be a linear transformation. Let B = {u, v} and D be bases of R². If 8 it is known…

A:

Q: (f) [(3x − 1)√x² + 2xdr

A: Since you have posted multiple questions we have solved first question for you. If you want all…

Q: By integrating all three surface elements of a cylinder, find the surface area of a cylindrical pie:…

A:

Q: Let S be a subspace of R" and let S be its orthogonal complement. Prove that S is also a subspace of…

A:

Q: Find the radius of convergence, R, of the series. R = 00 Σ n (In(n))² n = 2 I = 4n X Find the…

A: Consider the given series, ∑n=2∞x4nnlnn2 Use the ratio test for the given series,…

Q: Use the Green's Theorem area formula, shown below, to find the area of the region enclosed by the…

A:

Q: A periodic function f(x) is defined by { f(x) = 0, -π<x<0 x², 0<x<n, f(x) = f(x+2π). a) Sketch the…

A: