1 Consider the series > 2 n(1+ ln? n)` n=1

Q: What Mclaurin Series this function represents: ELo(-1)? = x2k+1 + 7! | (2k+1)! O a. e^x O b. cosx O ...

A: We need to find  function for the Mclaurin's Series. ∑k=0∞(-1)2x2k+1(2k+1)!  

Q: Use the characteristic root technique to solve the following recurrence relations ( find a closed-fo...

A:

Q: . f (t) = 2 cosh 3t

A:

Q: arctan(x) dx = x arctan(x) - 2 In(1+ x?) + c

A:

Q: A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in width and into a ...

A:

Q: A survey of 600 households revealed that 300 had only a TV.   175 had only a computer, and 50 had ne...

A:

Q: A group of college students was surveyed to determine their favorite class among History, Mathematic...

A:

Q: solve this non-homogenous differential equation- y" + 2y' + y = x sinx e^x hint: y=e^mx be the trial...

A:

Q: Solve for w where u (1, 1, –1, 0) and v = (2, 3, 0, –1). 5w = u - 4v W = Submit Answer

A:

Q: Evaluate by changing to spherical coordinates: /2–x²-y² xydzdydx x²+y2

A:

Q: Find the area of R = {(x,y) € R² : x € [-1,2], y e [x²,x+2]} integrating first along horizontal dire...

A: Area under the curve can be obtained using the double integral  The integartion according to horizon...

Q: 3. f(t) = 2e3t sin 2t – 3e3t cos 2t -

A:

Q: Change the Cartesian integral to an equivalent polar integral and then evaluate: 225-y2 (x² + y?) dx...

A: To find- Change the Cartesian integral to an equivalent polar integral and then evaluate: I = ∫015∫0...

Q: QUESTION 4 A lottery has a grand prize of $1,000,000, 2 runner-up prizes of $100,000 each, 6 third-p...

A: Profit on each ticket =$0.68025

Q: Find the minimum distance from the surface x2 -y2 -z2= 1 to the origin.

A:

Q: 12. (a) For n = 3, explain why Lo(x)+ L1(x) + L2(x)+L3(x) = 1 for all x. Hint: It is unnecessary to ...

A:

Q: Solve for w where u (1, 1, –1, 0) and v = (2, 3, 0, –1). %D 5w u - 4v %3D W = Submit Answer

A: Solution:-

Q: 2.11. Let f e r(V), V a variety c A". Define 1 G(f) = {(a1,..., An, An+1) € A"+ |(a1,..., an) E V an...

A: If J is any ideal in k[x1, . . . , xn] ,we define Affine Variety as V(J):={ p∈An | f(p)=0 for all f∈...

Q: If f(x) = tan (3x), then f'(x) = (A) 12 tan (3x) sec2(3x) (B) 4 tan (3x) sec (3x) (C) 12 tan (3x) (D...

A:

Q: If tan then 1– 2 1+ z2 COS X 8 |N

A:

Q: 223+-5 -j Suppose z1 = 2+ j, 2 = 3- j2 and z3 = -+j Evaluate %3D 2-a+3-j

A: Substitute the given values of z1,  z2, z3 in the given expression and simplify. 2z2+z1-5-j2z1-z2+3-...

Q: Let g be a decreasing continuous function on [0,1), assuming the values g(0) = 1 and g(1) = 0. Show ...

A:

Q: 00 5n + sin?n + sin²n 3n - |sin n| n=1

A:

Q: log (1 + ax) 1+ x? dx and hence show that =. Evaluate 0, ' log (1 +x) dx = log, 2. %3D 0, 1+x

A:

Q: The sequence n0.1 converges if

A:

Q: . Integrating factors found by inspection 1. y(y – x)dx + x(y³ + x)dy = 0 when y(1) = 0 2. (x³y³ + 1...

A:

Q: State A and state B are each candidates for an extra congressional representative. The relative unfa...

A: Relative unfairness = absolute unfairnesssmaller average constituency  

Q: nav's school is selling tickets to the annual dance competition. On the first day of ticket sales th...

A: Given: On first day 1 senior citizen ticket and 4 student tickets for rs $23. On second day 12 senio...

Q: Find the volume of the pyramid with base in the plane z = -1 and sides formed by the three planes y ...

A: Please see the attachment

Q: To submit Let R[] be the set of all expressions a = ao+ajx+a2x²+ · where aj e R for all nonnegative ...

A:

Q: - frele thab G=xK is abelian ifP both of HiK are abelian -Does Z12 Hxk where, H-Só, ū 83

A:

Q: os - and b, = cos 1 for all n eN such thatn > 2. п-1 Let an = COS п = COS Determine whether the give...

A:

Q: Let A, m be an Artinian local ring (see 1.13 and 3.2). Prove that the maximal ideal m is nilpotent. ...

A: Question Deatils   Let A, m be an Artinian local ring . Prove that the maximal ideal m is nilpotent....

Q: if f(2) = (x +ay-2xy)+i(bx- y + 2xy) is anal ytic, then the values ofa and b is

A: A complex function has the form fz=u+ιv, where u and v are the functions of x and y only. It is give...

Q: 3. f (t) = e2t cos 5t – 3t3

A: The given function is ft=e2tcos5t-3t3. The Laplace transform formula for eatcosbt is given by leatco...

Q: Let A = C 1. and X be a matrix satisfying: 2XT-A = (X + 2B)". B Then X is equal to the above equal t...

A: The given problem is to find the matrix X which satisfies given matrix equation with given matrices....

Q: Prore the only prime of the form n°-4 is 5.

A:

Q: Divisibility Prove that if alb and bla, then a = b or a = -6.

A:

Q: Using (11) and (12): 1 dx 1+ cos x tan +c

A:

Q: Find two vectors of norm 1 that are orthogonal to the vectors u = (2,−3,4) and v = (3,1,−5)

A:

Q: +oo 1 (2n)! ( a) Σ ( c) Σ-1)" 4n2 – 8n + 3 n=1 2" n=1 +00 In n (b) Σ-1)" n2 n=2

A:

Q: +o0 Σ)

A:

Q: (AUBUC) (A UB)nC (A - B)n (A - C) (B – A) (C -Ā)UB

A: Solution:

Q: x² 1 arctan 16 2(x – 3) + 3 -dx = J (2x² – 6x + 13)² + c 2 x² – 6x + 13

A:

Q: ſcos15x cos4x dx * 1/2 (1/11 sin11x +1/19 sin19x )+ C O 1/2 (1/11 sin11x) + 1/19 sin19x + C None of ...

A: Solution 

Q: Prove that V3 is irrational

A:

Q: List the eigenvalues of A. The transformation xAx is the composition of a rotation and a scaling Giv...

A:

Q: 4. f (t) = 7t? te 4t

A:

Q: 4-a2-y? 1 x2 + y? + z2 dzdrdy 0,

A: The given problem is to evaluate the given triple integral with given limits. We can convert the Car...

Q: Transform the following point, using the given rule: (-3,8) Rule: (x,y)-> (x-8, y+2)

A: A coordinate system is a convention that is used to represent a point uniquely using a set of number...