Compute the following: -6 9 -87 7 -8 -1 3 4 + -5 -6 6 -8 1 8 4

Q: 1. Assume that the n'th term in the sequence of partial sums for the series En=0 an is given below.…

A: We have sn=5+8n22-7n2 If limn→∞an≠0 then ∑n=1∞an is divergent. Now, we have the series…

Q: Hew.y If the directiondl derivative Valne ( Duf) of the function f(x,4) = x-3xy +uy3 at Paint (-2,0)…

A: Directional derivative of a function f(x,y,) in the direction of unit vector  u→=ai^ + bj^…

Q: Let P(R) be the space of polynomials of degree at most 2 and p(x), q(x) E P2(R) where p(a)-2, q(r) =…

A:

Q: 4 Newten's method to find all Use in tersecticns of y= x² and y= z' = 2². The emer in the es…

A: Given curves are y=x2   and   y=2x For point of intersection,  x2 =2x Now, we have to find that…

Q: 3. Find the component form of v given its magnitude and angle e with the positive x-axis: V = 8, e =…

A: Given, |V|= 8, θ= 150° We have to find component form of v Where V = V1 i + V2 j = < V1 , V2 >

Q: 2. (MS) Consider the relation R5 on P({0,1,2,3}) such that (A, B) e Rz if and only if |A| = |B|.…

A: Since you have posted multiple questions and we can answer one question. So, answering the first…

Q: Let S = {" in M2x2; a + 2d = 0 and b – 2c = 0} with the standard operations in M2x2. Which of the…

A: Given, S=abcd in M2x2:a+2d=0 and b-2c=0 Here , 0000∈S as 0+2(0)=0 and 0-2(0)=0 Now to check is it a…

Q: The directional derivative of f =x*yz + y*xz + z*xy in the direction of a = [2,-1,2] at the point…

A: The given function is f=x4yz+y4xz+z4xy. We need to find the directional derivative of f in the…

Q: In the accompanying diagram, right triangle ABC is inscribed in a circle, BA is a diameter, BC = 6…

A: We have to find the area of the shaded portion of the given picture.

Q: 2. a) Estimate the area bounded by the curve and the x-axis on [1, 6] using the 5 equal subintervals…

A: As per our guidelines, we are supposed to solve only first subpart. Kindly repost other subparts as…

Q: 1) Identify the conic sections and graph: a) (x-5)^2/100-(y+3)^2/64=1 b) (x+7)^2/5^2+(y+3)^2/3^2=1

A: On comparing with the standard form x-h2a2+y-k2b2=1 The given equation is a ellipse with center (h,…

Q: Let x(1) = c,cos(5 t) +c,sin(5 t) be a two-parameter family of solutions of the Let y =c,e*cos(5 x)…

A: To find which of the given option is correct, about the given differential equation :-

Q: s+1) (a) L-1 4s2 +1 (b) L-1 s4 + s] (e) E{/ c{[e cos(r) dr.

A:

Q: Use cylindrical coordinates. Find the mass and center of mass of the S solid bounded by the…

A:

Q: Consider the function f(z,y) = kr - 2ry+y?. 1. Show that (0, 0) is a critical point of f(T, y). 2.…

A: This is a problem of multi-variable calculus.

Q: H.W:find eigen value of matrix A A = 3 -2 2 -4 2.

A:

Q: (4D4 - 4D3 - 3D2 - 2D + 1)y = 0

A: We have to solve the given equation.

Q: Graph and find the parametric equations for the line through the point (1, -2, 3) and parallel to…

A:

Q: find ĕ = 1tiG residues Re12) Satis fies the equation

A:

Q: In June, Carla charged the following expenses to her credit card: winter coat ($231), jeans ($125),…

A:

Q: x? – 9x3 Find Lim x-00 6x3 + 4x A. 0 В. О 3 C. -- 2 O olo

A:

Q: (6) If u, = x-Pr(x)Pn -1(x) dx, show that nu, + (n – 1)un-1 | and hence evaluate u.

A: To find the desired result first we will use the recurrence formula for pn(x) . Then after…

Q: for which all the Ei en below are real is 4 1

A:

Q: Using Green's theorem, evaluate Fir)-drcounterclockwise around the boundary curve C of the region R,…

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

Q: se a Caesar cipher with a shift of 5 right to encrypt the following message: Meet me in Alabama.…

A: Given massage is: Meet me in Alabama

Q: Apply the following transform to the point (1,-1, 2). Find the coordinates of the transformed point.…

A: The given matrix is, 120-10-121-21-13-1011 Let the transformed point be x',y',z',w The above four…

Q: • Use False Position Method. Compute Es according to 4 significant figures according to the formula…

A:

Q: Q) find Fourier series on [0,21] (3) ƒ(x)=cos x = COS X

A: find the fourier series on0,2π fx=cosx fourier series is given by…

Q: B) Find the unique polynomial P(x) of degree 2 or less such that P(1) = 1, P(3) = 27, P(4) = 64…

A:

Q: 5. Expand a function f(x) in: 1. Fourier sine series on 0 < x <l, 2. Fourier cosine series on 0 < x…

A: Given, f(x)=1   , f(x)=x    , f(x)=x2 To find: Fourier sine series on 0&lt;x&lt;l for the given…

Q: Use the formula = to find the torsion of the following curve at a general point. |r'(t) × r"(t)|2…

A: To find the torsion of the following curve  r(t) at general point and at t=0 .

Q: You have a choice of two accounts in which to invest your money for one year. Account A pays 3.6%…

A:

Q: Q1- Determine the coordinates of the centroid of the area.: (1, 1) y= x,

A: The given problem is to find the centroid of the given shaded area of the region formed by given…

Q: 4 9. The vector is a linear combination of the vectors and -7 if and only if the matrix 8 equation…

A: Let A be a m×n matrix then the system Ax = b has a solution if and only if b is a linear combination…

Q: Problem 4. Let f be an entire function that maps the real axis into the real axis, and maps the…

A:

Q: (6) If u, = x-Pa(x)Pn-1(x) dx, show that nu, + (n – 1)u,-1 = 2, | and hence evaluate u.

A: To get the desired result first we will the recurrence formula for pn(x). Then after simplification…

Q: find the angle between the 3x lines y 4 З and 5x - 2у %3D 10. -

A: The two lines are as follows y=3x4-3 and 5x-2y=102y=5x-10y=52x-10 comparing with y=mx+c where m is…

Q: dy dx 2 x +34-4 4メ+y -3

A:

Q: Find the sum of the series (-1)*n2k 42k (2k)! k=0

A:

Q: Find the first two iteration of Jacobi method for the following linear system with x=(0,0,0) 10x, -…

A: Given linear system 10x1-x2=8-x1+10x2-2x3=5-2x2+10x3=8

Q: Check your conjecture for Euler's Formula (activity 3a in this activity set) on the two polygon…

A: The Euler's formula is: V-E+F=2 where, V is the number of vertices, E is the number of edges and F…

Q: SET-UP the double integral that solves for the volume of the solid: 3 3x+ 2y+ 4z = 12 4 X

A: We will have to find the volume of the given solid region.

Q: Sumi Kato's savings account has a balance of $1292. After 12 years what will the amount of interest…

A: Compound interest formula

Q: 3. A subspace U C Rº and x E R® are given by 3 1 -3 -1 -3 4 -3 2 U = 1 1 and x = 2 -1 2 2 1 7 2 [1/2…

A: As per the question we are given a subspace U ∈ R6×4 and a vector x ∈ R6 And we have to find the…

Q: 4 For what value(s) of x is the function f(x) 2x? - 6х NOT continuous? A. x = 0 and x = 3 B. x = 3…

A: To find- For what value(s) of x is the function fx = 42x2 - 6x NOT continuous? x = 0 and x = 3 x =…

Q: 9. Use the method of undetermined coefficients to solve the given system 4t +9e X' = 4 %3D

A: Given that X'=1-441X+4t+9e6t-t+e6t            (1) let                                 A=1-441 The…

Q: 4 For what value(s) of x is the function f(x) 2x2- 6x | NOT continuous? A. x=0 andx= 3 B. x = 3 only…

A: We need to find points at which f(x)=42x2-6x is not continous.

Q: Q2/ Complete the following table to find the values a , b,c and s y A -1 2845 308 3162 S 1 3544 a b…

A: It should be 317 in the place of 308. Because (3162-2845)=317

Q: Use the present value formula to determine the amount to be invested now, or the present value…

A:

Q: Add the following binary numbers: (a) 11 + 11 (b) 100 + 10 (c) 111 +11 (d) 110 +100

A: Binary numbers addition