2 If the power series a,(x-d)" is such that lim n=1 L n- 00 Which one of the statements following is TRUE? O A. The series converges for all x € R. O B. None of the choices on the list. OC. The series converges only at x=d. D. L * The radius of convergence is 2 2 The radius of convergence is L OE. 8

Q: using truth tables, show that the following premises leads to tautology: (A^~C)v((BvC)v~(CvA))

A:

Q: 20. Let z = (xo +x1)/2, h = (x, – xo)/2. To analyze the approximation (4.19), con- sider the error %...

A: Given Let z = x0+x12, h =x1-x02 to analyze the approximation consider the error E =fx0, x1-f'x0+x12=...

Q: Q/ find the root of the equation by false position y = x3 – 6x² + 10x – 4 ɛ<0.001 for above equation...

A: Given,  The equation is  y=x3-6x2+10x-4 we have to find the root of equation using false position me...

Q: 2. Evaluate the integral by first converting into spherical coordinates: a-y (a2-y2 a--y a2-x2-y2 (x...

A:

Q: Theorem 2. Let R and S be binary relations on a set X. Then, (a) (R-l)-' = R. (b) (RUS)-I = R-Us-!. ...

A: Given: R and S are binary relations on a set X.   To prove: (a.) R-1-1=R (b.) R∪S-1=R-1∪S-1 (c.) If ...

Q: A professor conducted a survey regarding the favorite anime of the students. The following data were...

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly rep...

Q: 3 -6 Let A = Construct a 2×2 matrix B such that AB is the zero matrix. Use two different nonzero col...

A:

Q: 34. dyldx = 2(3x + y)² – 1; when x = 0, y = 1 Answer: y = tan (2x + a/4) – 3x

A: As per our company guidelines we are supposed to answer only the first question. Kindly re post the ...

Q: dz is equal z cos(2) The value of 4-T =4 (a) 2 (b) 3 (c) 4 (d) 5

A:

Q: 3. A curved surface is described by z =(x² + y³)³/4. a plot of the surface -4-3-2-1 0 1 2 3 4 2 0 -2...

A:

Q: Consider the group G = Dg × Z/6Z, and let N = Dg x {0}. Show that N 4 G and that G/N = Z/6Z. Now Z/6...

A: Given is a group G and a subgroup N of G. First we use the definition of Normal subgroup to show tha...

Q: (1+d)+(1-b) (b d-) L Answer: be[(d-+b-)v d) Answer: 3. If nis divisible by 9, then f is divisible by...

A: As per the company rule, we are supposed to solve the first three subparts of a multi-parts problem....

Q: 1) . (x + y)e*-y´dA where R is the rectangle enclosed by x – y = 0,x – y = 2,x + y = 0, and x + y = ...

A:

Q: Using Lagrange multipliers, a.) find the location and value of the absolute minimum of the function...

A:

Q: 2. Find the coordinate vector of i = (2,3) relative to the basis B = {(1,0), (1, 1)} in vector space...

A:

Q: 3. Solve differential equation. Write clean, and clear. Show steps of calculations. (-xy sin x + 2y ...

A:

Q: In (x) -dx is equal to x2 The numerical value of

A: Given is an integration and we have to find it's numerical value. Here, we use the Integration by Pa...

Q: H.W 1- Find Po, F, A (Seasonal - hai) for the cash flow shown below: 3 x 10 IQD 700,000 IQD 300,000 ...

A:

Q: Calculate the sum of the first 1,000 natu 500,500

A: The sum of first n natural numbers is given using the formula S=nn+12 therefore here n=1000  

Q: The topic is algorithms and analysis so the proof should be along those lines I think. Thank you! 2....

A:

Q: a 'n+1 If the power series 2a (x- d)" is such that lim n=1 a L 00 - Which one of the statements foll...

A:

Q: Determine whether each of the following series is convergent or divergent using the appropriate te f...

A:

Q: b) Solve (D2 – 3D + 2)y = x² + sin x where D = dx

A:

Q: Match each of the following with the correct statement. A. The series is absolutely convergent. C. T...

A:

Q: 1. Let P (x) be the statement "x = x?." If the domain consists of the integers, give True/False acco...

A:

Q: Sketch the given function, which is assumed to be zero outside the given interval. Find its Laplace ...

A:

Q: Hw find the vector whose length is 1o and Sumofit's components 8 is Min imum 9 11 12

A:

Q: Exercise Find ker f and Im f for f: (S3,0)→(Z2, +) such that so if x is evev permutation f(x) =} 1 i...

A: Ker(f ) is the set of all those elements of S3 which map to identity element of Z2  i.e ker (f) = { ...

Q: Evaluate the given integrals. Sx-2 (cot) (log,sin-) dx 7.

A:

Q: 2. (a) Find (if possible) a function y(t) such that its derivative is itself. That is, find y(t) suc...

A: (a) y'(t) = y(t)       =&gt; dy/y = dt    Integrating both sides, we get,           ln y = t + ln C,...

Q: x² + 2x 1. S(* - dx x+2

A:

Q: 14. Solve the boundary value problem. y'+y = x² + 1, y(0) = 5, y(1) = 0

A:

Q: 1 will be given by 3+* The power series representation of f (x) =- O A. Σ (-1)" x" - 4<x<4. n=0 4" +...

A:

Q: There were 600 students who answered a transportaion survey. Of those surveyed, 159 said that they o...

A: Let U be the set of total students who answered a transportation survey. A be the set of students wh...

Q: .. with n, m, E No for all i e {1,...,r}. Let a = p p... p and b p P (The existence of such a factor...

A: Let a=p1n1.p2n2.....prnr and b=p1m1.p2m2.....prmr with ni,mi∈ℕ0 For all i∈{1,.....,r}. To prove gcd(...

Q: Evaluate: Le*Cosh21}

A:

Q: If the bank advertises its rate as 6.2% compounded monthly, and another bank advertises its rate as ...

A: Given:  Bank A gives the rate of interest at 6.2% compounded monthly. Bank B gives the rate of inter...

Q: Let G be a group with |G| = 96. Suppose H and K are subgroups of G with H| = 12 and K| = 16. Then (a...

A:

Q: Given that lim n²(x- 5)" converges by the Ratio test. If x e Z then the numerical n- 00 value of x i...

A: Introduction: The ratio test is also used to test the convergence of a sequence. According to the st...

Q: Obtain the general solution of the following differential equations. 4. x(x² + y*)*(ydx -xdy)+y°dy =...

A: We have given differential equation ,  xx2 + y22ydx - xdy + y6dy = 0 Clearly , this is homogenous di...

Q: 2. Now consider the series v8(4n)!(1103 + 26390n) 9801 · 3964n (n!)4 This series was discovered by t...

A: (a) Given series, ∑n=0∞an = ∑n=0∞8(4n)!(1103+26390n)9801·3964n(n!)4 Here, an = 8(4n)!(1103+26390n)98...

Q: 1 Discuss the convergence of the series 0 <p< q. pr – q*

A:

Q: Homework. Find Sup, Inf, Max, Min of the following subsets of R: 1) S, = {2-P + 3-4 + 5-" : p,q,r €Z...

A:

Q: Let P (x) be the statement "x = x²." If the domain consists of the integers, give True/False accordi...

A:

Q: If P and Q are partitions of a, b|, then PU Q is a refinement of both P and Q. True False

A: If P and Q are partitions of [a,b], then P∪Q is a refinement of both P and Q.

Q: 1. Consider arranging flags along the length of a flagpole. Rectangular flags come in six different ...

A: We have to find different possible option for different cases 

Q: Given the function f(x)=nx+(x-g)"2 n = 17 g = 4 1- Find the Taylor series expansion for the given fu...

A:

Q: Eliminate the arbitrary constants in y = ex + c1e2x + c2e-3x

A:

Q: Use Stokes' theorem to evaluate the surface integral I of the two-form w = dŋ, with n = (xz+ yz²) dæ...

A: η=(xz+yz2)dx+(sin(y)+z+5x)dy+xyz dzz=13-x2-y2,   z≥9 F→=xz+yz2i+(sin(y)+z+5x)j+xyzk z=9⇒9=13-x2-y2 x...

Q: 1. Let f : X → R and Y = f-1(R). Then f is measurable iff ƒ-1({-∞}) E M, f-'({∞}) e M, and f is meas...

A: see the attachments