Explain why the integral is improper. 49 1 dx 1.6 1.4 1.2 Y 0.81 0.6 0.4 0.2 10 20 O At least one of the limits of integration is not finite. The integrand is not continuous on [0, 49]. Determine whether it diverges or converges. converges O diverges Evaluate the integral if it converges. (If the quantity diverges, enter DIVERGES.)

Q: ces adding in order as 1-0,1-2, 2-0, 2-3 and 3-1

A: KRON node elimination technique is the direct determination of the Zbus matrix without forming the…

Q: Taylor Series Approximation Formula f" f"" (a) ² f(x) = f(a) + f'(a)(x − a) + ¹¹¹(a) (x − a)² +…

A:

Q: Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6).

A:

Q: u are on a 4-week vacation, you will play at least one set of tennis matches each day, but you…

A: Nos of week vacation: 4 Given condition: Play at least one set of tennis matches/day. Can't play…

Q: If = (1,0), then Düfz(-3,4)= ƒxy(−3, 4). True False

A:

Q: (*) Find the Fourier cosine series of f(x) = sin(4x) on [0, π]. Could you guess what the Fourier…

A:

Q: (b) Find the differentiation of tan 4√√x 1-4x

A:

Q: Which type of speech parts, the below words belong to? Show the part of speech with more details,…

A:

Q: 3 y = 4 0.2x +5

A:

Q: (2x + 1)2y" - 6(2x + 1)y' + 16y= 8(2x + 1)²

A: To Solve: The differential equation (2x+1)2y''-6(2x+1)y'+16y=8(2x+1)2.

Q: 1. A system is composed of a rod and a disk, as shown at t = 0 below: 6 -6 4 6 -2 -4 -6 The axes…

A:

Q: Please provide Handwritten answer

A: Given that: 3e-810tsin28πt+6e-810tsin52πt The objective is to determine discrete Fourier transform.…

Q: 1 2 If R = 3 1 that R² = 2R + cS. and S= 1 1 0 0 1 find a number c such

A: Solving matrices question by finding square of R matrix

Q: Compute the derivative: a. r(t) = b. r(t) = sint cos ti - t4 In t²j

A:

Q: 7: 1 The norm of the matrix A = [is is equal 4. 1 3. O True O False

A:

Q: 9: In the steepest descent method the vectors (Xk+1-Xk) and (Xk+2-Xk+1) [2] [4] [2] =S. are…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 15 Down: The ODE in r we must solve when solving the vibrating circular membrane is due to ________

A: To slove the puzzle

Q: If M is a proper subgroup of G we call it maximal if M≤ X ≤ G implies X = M or X = G. The Frattini…

A: Solution:If G has no maximal subgroups, I(G) is taken to be G.⇒I(G) characterizes G in this…

Q: Direction Fields Plotting Direction fields can be done using the function quiver: quiver Quiver…

A: We will use matlab code given in the question

Q: 5: The Hessian matrix for f(X) = x}xy + x3x3 at the point (1 2 3], is given by: [6 0 31 [3 0 61 [18…

A:

Q: 0.7 0.6 H.w1: evaluate fofex siny dx dy J0.2 i) using the trapizodial rule in both direction, Ax =…

A:

Q: 1 (i) Show that 2x-1 is a factor of 2x³-5x2 + 10x -4.

A:

Q: 3 lim Z→2 (Z-2)4 ∞

A: We have to find the limit.

Q: 3 Factorise completely the expression 2x³-11x²-20x-7.

A:

Q: 18: Which of the following functions has no critical points? A: f(x) = -x² + x² B: C: f(x) = x³ + x2…

A: This is the question of multi-variable calculus.

Q: slope of the line that connects the following two points?Point 1: x = 2 y = 5.6Point 2: x = 0.6 y =…

A:

Q: The table below reports the quantities and prices for a fruit basket consumed by RMIT students for…

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

Q: Hand written piz 2. Standardize the following LP model. max z = -3x₁ +8x₂x3 + 12x4 - - 3x₁ +8x₂ +…

A:

Q: Express the signal, ?(?) shown below as a sum of Fourier series and then in terms of the sin-cos…

A: Given that: The minimum and maximum values are -1 and 1. The objective is to express the signal. Now…

Q: PAPER 1 N2010 5 Solve the equation 3x³ +7x²-22x-8 = 0. 5. FACTORS OF POLYNOMIALS

A:

Q: - Use the midpoint sum formula to calculate the area under the curve f(x) = x³ from x=0 to x-12…

A: Here h = b-an = 12-04 = 3

Q: The function f is such that f(x)=4x-&r²+ar+b, where a and b are constants. It is given that 2x-1 is…

A:

Q: Se²x s sin 2x dx 1. Solve (i) The integration by parts method. (ii) The tabular method. using the…

A:

Q: 5. Show the variable ellipsoide sec(t +++ +7)+'csc(t + +)+cos(21)=1 is a possible form for the…

A: Given: x2a2etsect+π4+y2b2e-tcsct+π4+z2c2cos2t=1 To prove that the equation of continuity is…

Q: 14 Across: uxx + ux + uy - 0 is a ______differential equation.

A: The given Partial differential equation is uxx+ux+uy-0. To find: the type of given Partial…

Q: 2. Standardize the following LP model. max z = −3x₁ + 8x₂ − x3 + 12x₂ - 3x₁ +8x₂ + 3x₂-3x4≤5 2x₁ -…

A: The linear function that needs to be optimized is called the objective function. The system of…

Q: Solve by using the method of undetermined coefficients :

A:

Q: 1 x x+2 x-2 100 10 x x−2 x+2 100 x+2_x−2 2. Solve for x if 0 0 00 00 100 -0. 0 x+2 x+2 0 0 100

A:

Q: T(x,y) = x² + y² + 2 t(1, 2) find the rate of change of T in the direction = 7 I'm

A:

Q: x = 1, y = 5 X₁-2, ₁-3, Given x. -4, y. -1 (a) Use the Lagrange interpolation method find quadratic…

A:

Q: 5. For each of the following functions from R+ → R, find the least integer n such that f(x) is O(x)…

A:

Q: Solve using Power Series Centred Around Zero. (X²− 1) X² y“ - (x²+ 1) y` + (x² + ₁) Y = O

A:

Q: If u(x.y) and v(x.y) are differentiable, than, is it necessary that f(z)=u(xy)+iv(x.y) is also…

A: We know complex numbers are of the form ,  z = x + i y. Here , x = Real part of complex number  and…

Q: O The affine transformation f maps the points (0,0), (1,0) and (0, 1) to the points (4,4), (3, 4)…

A:

Q: Find the arc length of r(t) = 3 cos ti + 3 sin tj + 5t^(7/2) k

A: The given vector is r→t=3 cost i^+3 sint j^+5t72 k^....(1) To find: the arc length of the vector.

Q: If u and v are the two solutions of d'y dy dx² + P + Qy = 0 dx uv₂u₂v + P (uv₁ - u₁v) = 0 (uv₁u₁v) =…

A: The given differential equation is d2ydx2+Pdydx+Qy=0.....(1) To prove: (a) uv2-u2v+Puv1-u1v=0…

Q: Find the volume and the dimensions of the largest rectangular box in the first octant with three…

A:

Q: Situation 3. A stone is shot on a level ground at an angle of 56° with the horizontal with an…

A: Stone is shot at an angle 560 from the ground with an initial velocity 112 m/s

Q: 3. x(n)= 0.5" u(n)

A:

Q: = 2. Find the Fourier series of the function f(x) -4, 4, - π < x < 0 0 < x < π

A: