Q2: If x= 2, 4, 6, 8, 10 and y= 2, 1, 3, 8, 20 write the differences table and find (1)f' (3.1) (4) f" (9.5) (2)ƒ" (5.5) (3)f' (8)

Q: Calculate the indicated Riemann sum S3 for the function f(x)=x²-8x-9. Partition [0,6] into three…

A: Given function is fx=x2−8x−9 and let c1=0.5, c2=2.8 and c3=5.3. We have to calculate the indicated…

Q: Ex: Find the center of mass of the solid whose density &z and bounded above by the plane z=y, below…

A:

Q: 4. If 1/2 LCM). ", show that fy & Liv. tige Lim

A:

Q: 3 2z²+ +3x²-22x-61 - 12 2 र e da

A: Some of the properties of integration  ∫1xdx=lnx+C∫xndx=xn+1n+1+C∫af(x)+bg(x)dx=a∫f(x)dx+b∫g(x)dx

Q: The signal u(t) is a full-rectified sine wave with periodic varying amplitude, whose graph is given…

A: It is full rectified. The Fourier series expansion in a full period.

Q: function f(x) = x as OLX 22 Expand the cosine series in sine series in 0 2x 42.

A: Here given that f(x)=x. We expand f(x) as cosine and sine series in 0<x<2.

Q: Prove that k(K) a) combinatorial b) algebraic proof (1) for integers n and k with 1 ≤ k ≤ n, using…

A:

Q: 3 GIVEN: V=M₂x2 WITH THE E.I.P. AND THE ORTHOGONAL SET: S = {m₁ m₂ ² = { [ ! ²3] [2]} W=LIN(S)…

A: Orthogonal Projection is the best approximation.

Q: By using Value of fixed point approach solve the A = √2 + √2 + √2+...

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

Q: 3. Solve the following Cauchy-Euler differential equations: (i) (x² D² - xD + 2) y = x log x, (ii)…

A:

Q: 1. A company is evaluating two projects, A and B. The company's cost of capital has been determined…

A: Use the following formula, to calculate the net present value. NPV=CF11+k1+CF21+k2+⋯+CFn1+kn-Initial…

Q: Match the phrase with its equivalent term. a number is written next to a variable, such as the 6 in…

A:

Q: [14] 2. Let D = 2 5 [36] 4 3 E = 5 6 69 a = B - {2} b = n Suppose now a vector z=0 satisfies D¹ z =…

A:

Q: Given the following initial value problem. dy/dt- yt 1.1y where y(0) = 1 The solution at t 0.75; Le…

A:

Q: let a be a nonempty compact subset of R and let B be a nonempty closed sub set of R such that A…

A:

Q: Solve each problem by using composite functions. Be sure to show all work.  A manufacturer sells a…

A:

Q: Let f: R" x R → R define as follows f(x,y) = then f is i=1

A:

Q: T(n)= 2 - {²7 = n = 2 [2T()+n_n=2k, for k>1

A:

Q: 4. If tige Lim, show that fg & LUM.

A:

Q: 5-s s² + 4s-5 (A) Find L¹(F(s)}, knowing that: F(s)=- DA

A:

Q: xample: Solving Axb, Ux = c, and Rx = d 1x1 + 2x2 + 3x3 + 5x4 Ax=b is 2x₁ + 4x2 + 8x3 + 12x4 = 3x₁ +…

A:

Q: The classroom has the dimensions shown: 729 808 9.1 m 10.3 m 3.2 m 1) Mrs. Congello would first like…

A: We have to find the amount of paint required to paint the walls of the classroom. It is clear that…

Q: By using fixed point approach solve the Value of A = √² + √2 + √2 === Solve the equation 5x-4 cosx =…

A:

Q: Let f: R" x R → R define as follows f(x, y) = then f is

A: Given that: f:Rn×Rn→R define as follows fx,y=∑xiyi¯i=1n. The objective is to determine the value of…

Q: Item 1. Use the long cut procedure of McLaurin series of expansion in determining the power series…

A:

Q: Consider the sets A = 0 and B = {0} and C = {1,0}. 5. Find each of the following sets, if it is…

A:

Q: Determine the values of a, if any, for which all solutions of the differential equation y" − (2a −…

A:

Q: Use Richardson extrapolation to estimate the first derivative of Y = sin x at * = π/4 using step…

A: Given the function  y=sinx

Q: з хутуг х2 +xy dy + ax = 0

A: To solve, dydx=-3xy+y2x2+xy⇒dydx=-xy3+yxxyxy+1⇒dydx=-3+yxxy+1        ___________(I)

Q: Determine all the eigenvalues of the matrix G given below. Hence, obtain an eigenvector…

A:

Q: Simplex Maximization Problems 1. Max: P=2X₁ + 4X2 +3X3 Subj. to: 3X1 + 4X₂ + 2X3 ≤ 60 2X1 + X₂ + 2X3…

A: We have given LPP problem ,  Max P =   2x1 + 4x2 + 3x3Subject to , 3x1 + 4x2 + 2x3 ≤ 60…

Q: Jo (x)= TT 1 TT Ső 0 Ső cos (x sin ) dø cos (x cos ) dø

A:

Q: = [ -- |- 1 AB CA 2 4 6 3 1 1. Find 3A - 2B. 22 0 1 -2 - -2 7 AC 3 CB 3. Find the products DA and…

A:

Q: Group A1) Consider the succession (an) defined by; an = 379an-1-378an-2, n22 and ao = 0 e a₁ = -377.…

A:

Q: Using Lagrange's interpolation formula, find a cubic polynomial which approximates the following…

A: Let x0,y0, x1,y1, x2,y2 and x3,y3 be the given data. To obtain the Lagrange's interpolation…

Q: Find the integral of the function using Trapezoidal n = 30. and using Simpson's Rule 4 3 (6x³-9x +…

A: Given integral is  ∫346x3-9x+4dx we want to evaluate that integral by Trapezoidal rule for n=30.…

Q: 1.) 201 4sin (x) cos (x) dx dy 0 y² + 1 [¹ylnª (y² + 1)

A:

Q: Let f be a holomorphic function on the disc DR centered at the origin and of radius Ro. (a) Prove…

A: Here we have given that f be a holomorphic function on the disc DR0 centered at the origin and of…

Q: Find the sum of 73 ㅈ5 11.3 3.5 ㅗ ㅈ - + ㅈㄱ 15.7 + n-1_2n+1 ㅈ (1)h 12n-1 (2n+1)

A: We can solve as follows

Q: 4. Given that √2 is an irrational number. Show that 5+ 3√2 is an irrational number.

A: Solution 4 Here given that 2 is an irrational number  To prove   5+32 is an irrational  Proof Let…

Q: Find the determinants of the given matrix below. 7 4 9 -2 12 −1 2 5 -4 7 3 -91 4 5 31

A:

Q: Consider the function f(x) = x + 2/1. Construct the Lagrange interpolation polynomial which…

A:

Q: If y, and y₂ are linearly independent solutions of ty" + 4y + tey = 0 and if W(y₁.₂)(1) = 4, find…

A:

Q: Use L'Hôpital's rule to find the following limit and check the answer using an algebraic…

A: Using L'Hospital's rule we find the given limit and we check the answer using an algebraic…

Q: If the Wronskian W of f and g is t2e²t, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary…

A:

Q: 1 Find the general solution to the following ODE using the method of undetermined coefficients…

A:

Q: 1. Compute the average height of the cone z = a> 0. r² + y² above the disk x² + y² ≤ a² for

A:

Q: The Bar graph below describes the scores of a group of students on a 10-point math quiz 10 9 1 Quiz…

A:

Q: Let line L: x = 2t, y = 0, z = 3, and let line M: x = 0, y = 8 + s, z = 7+s, for some constants t…

A:

Q: Show that * Ső› X yn+¹ J₁ (xy) dy=Jn+1 (x)

A: Using the recurrence relation of bessel function