✓(3) Prove Green's theorem for F = Y Z + x²y³j y (1,1) i (1,0)

Q: Write down the first four terms of the Taylor series expansion of the function x(t-h) about x(t),…

A: This Problem is solved using concept of Taylor series theorem.

Q: Use the calculus of residues to evaluate the improper integral COSX -dx. (x²+1)³

A:

Q: could you answer e) please

A: We will find how initial value make changes in rate of change in a function

Q: 6.Given y'a = -2x³ + 12x² 20x + 8.5, y(0)=1, h=0.5 find y(2) using the 2nd-degree RK - a. 3.37500 b.…

A:

Q: (b) compute an estimate of x(1) for the initial-value problem dx 1+x x(0) = -2 dt sin (t+1)'

A: Problem is solved using second-order predictor-corrector method.

Q: Suppose that f AR is continuous at a number a E A with f(a) > 0. Show that there exist numbers L and…

A:

Q: Graph the line that represents a proportional relationship between d and t with the property that an…

A: It is given that the increasing the values of t increases the value of d. Hence, the variable t is a…

Q: Let X = {6, 7, 8, 9) and let the relation R on X be given by R = {(x, y): 3 zc N₁ x + z = y), where…

A:

Q: 4. Use the Divergence Theorem to evaluate the flux integral JS, F-ndA over the surface of a…

A: Given that, F=(3xy3z5,3y,-xy3z6)F⇀=3xy3z5i^+3yj^-xy3z6k^ We have to evaluate the integral  ∫∫sF⇀.ndA…

Q: 7. Assume that there are only two age groups ("young" and "old"). Among Argentine immigrants in the…

A:

Q: 18. An external direct product G₁ G₂ G₂of a finite number of cyclic groups is cyclic if and only if…

A:

Q: Use the second-order predictor-corrector method (that is, the first-order Adams-Bashforth formula as…

A: Answer is given using second-order predictor-corrector method.

Q: IV.Let Ω {a,b,c,d,e,f.g) and = {{a.f.g}, {d,e,f}, {b,f}} Construct the minimal sigma-field…

A:

Q: H.W: Use the chain rule to find the derivative of w = x² + y² with dw respect to t with x = cost +…

A:

Q: Sketch the domain of integration of the double integral (√(1-x²) La d.x dy x+y √(x² + y²) 0 0 and…

A: We will find boundary curve for domain of integration  . To find value of integral we will use polar…

Q: (B) let y = 3sin5x2cos5x show that y + 25y = 0

A:

Q: I    P    R    T ----------    2000    2%    ½ yrs. 500    ----------    10%    7 mos. 175    1030…

A: According to guidelines I solve first 3 subparts so kindly request you to repost the remaining…

Q: 4. Use Gauss Jordan method, find transmission matrix P (Change of Basis) from B to C, Pb-c and from…

A:

Q: Q1: If the function f(x) define as f:R → R such that f(x) = x+1, x>2 x²-1, x≤2 Show that the…

A: O

Q: ) f(x) = 4 sin²(3x) - sin(3x) + 5.

A: As per the question we are given the following function : f(x) = 4sin2(3x) - sin(3x) + 5, And we…

Q: (b) In the figure, AOC and BOE are straight lines. Angle A and angle B are equal. ED is equal to CD.…

A: Given: In the following figure, AOC and BOE are straight lines. Angle A and B are equal. ED is equal…

Q: 4.In the mathematical Equation of Linear Regression y=a + a₁x+e₁ (ao,a₁) refers to a. (Y-intercept,…

A:

Q: Derive a three-point formula of order O(h²) to approximate f'(ro) that uses f(xo-h), f(ro), f(xo +…

A:

Q: a) Let R be the set of real numbers, C = (0, 10], D = (9, 15], E = {1, 2, 3} and F = (7, 10). Find:…

A: Given, sets C=(0,10], D=(9,15], E={1,2,3} and F=(7,10).

Q: Taylor series of the following ) = ln(1+x), a = 0. ) = x² + 2, a = −1.

A:

Q: 2.3.9 Using the third-order Adams-Bashforth method (start the process with two second-order…

A: Write the Adams-Bashforth Predictor formula as follows:

Q: In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation…

A: From the given data we can conclude that, Proportion = 25% Margin of error = 1.3%

Q: dy 12. Given the differential equation x dx² dx +4 = 0 and one solution y₁ = A (constant), use…

A:

Q: Let X = {6, 7, 8, 9) and let the relation R on X be given by R = {(x, y): 3 z e N₁ x + z = y}, where…

A:

Q: Find the formula for the number of ways for putting n identical balls into k distinct boxes so that…

A: Answer is given using concept of permutations and combinations.

Q: VNBA advertises a savings account that pays 8% nominal interest rate compounded monthly. What is the…

A:

Q: 1 Let fn: [3₁3] - DR be defineet Find the point wife limit cop fnox) by fr.cz) 14x²5

A:

Q: Let ū== = [1,2,0]T and 7 = = [1,0, 3]T. (a) (2 points) What is span{u, u}? (You can describe this…

A:

Q: Find the pointwise limit of the following 1 (1) fnoy I= [0₁1] z nxt I I = [0₁1] Ince) = = n² x…

A: Here we use sequence of limit

Q: 2. An oven technician charges a call-out fee of $50 and an additional $20 per hour for the duration…

A: The call out fee is $50 additional fee per hour = $20 per hour let t be the number of hours…

Q: In formal symbolic logic, show that [P&∼P]⊃Q is a theorem.

A: This is a problem of Logic.

Q: Evaluate S. So dy 0 dx √√[y(1+x²)]

A: Problem is solved using concept of integral.

Q: 10. The set of automorphisms of a group is a group under the operation of function composition. True…

A: Isomorphism : A bijective mapping  that preserves binary compositions in both groups is called…

Q: Evaluate x+y JF dx dy x² + y² + a² over the portion of the first quadrant lying inside the circle x²…

A: Answer is given using polar coordinates.

Q: -Solve the following system of equations using Gauss elimination method: 4 2 1x₁ [8.57] 6.25 2.5 1…

A: Given: System of linear equations in matrix form, 4216.252.51931x1x2x3=8.571012 To find: Solution of…

Q: Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: Shaded region is the solid R

Q: Consider the recurrence relation an = -2an-1 +15an-2 with first two terms ao = 4 and a₁ = 10. a.…

A:

Q: 33. d dt 10+1

A:

Q: (A) 87632 (D) 98301 (B) 97531 (C) 98532 101 17. 5. HDDAB 84412 (A) 83312 (D) 844 (B) 84312 (C) 74412…

A:

Q: Suppose that 100 lottery tickets are given out in sequence to the first 100 guests to arrive at a…

A: The anser is l = 8

Q: Using the second-order predictor-corrector method, (a) compute an estimate of x(0.5) for the…

A:

Q: Write the power series (about the origin) of the following functions. Use Theorem III to find the…

A:

Q: (c) f(x) = cos² (3x)

A:

Q: A F²(xy, 2) = x₂ ₁ + x² ² + x ₂7² [ z) xy Find div F and curl I at (1,1,0) 0

A:

Q: If a plane region R located in the first quadrant is revolved about the x-axis, then the measure of…

A: False.