(7) What is the value of the series Σ 2 Tn + 1)2"+1 -? Justify your answer. n=0

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Q: Home work 2 find and 35 if w= CX +y +Z)< × ニ と-S yニCos (r+5), そ ニ sin (r+5) ノ aud 5 ニ1

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Q: Complex Numbers: Find the roots. z = -2

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Q: Consider the system i = f(x)+ g(x)u iere sin x2 f = COS x2 g =

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Q: Question 2 If F = 2ui – (-u³ + 4)j – u²k and G = t?i – 3tj + tk at u = 1 , t = -1. Calculate: a2 а) ...

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Q: 4. Use the dilation principle to find the Laplace transform of 1- cos 5t cos t given L{- In g² +1 t

A: We want to find Laplace transform of 1 - cos5tt Given L1 - costt = 12lns2s2+1

Q: V8(4n)!(1103 +26390n) 9801 396 (n!)4 (b) The partial sums for this series are S, Use a calculator to...

A: 2B Sk = ∑n=0k84n!1103+26390n9801·3964n(n!)4

Q: Prove that each of the following subsets H of M2(R) is a subgroup of the group G of all invertible m...

A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: 2. sin3 350at

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Q: (c) What is the monthly interest rate? (Round your answer to one decimal place.) 14 (d) What is the ...

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Q: y" – 3y' + 2y = e3t ; y(0) = y'(0) = 0

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Q: Consider the center of mass of the following. A lamina occupies the part of the disk x2 + y2s 9 in t...

A: Given x2+y2≤9  ρ(x,y)=ky  x=rcosθ, y=rsinθρ(x,y)=ky=krsinθ

Q: Complex Numbers: Find the roots. z° = 4i

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Q: QUESTION 7 Suppose a company is hiring three new sales reps. There are 28 applicants for the positio...

A: Given that Number if sales representatives are hiring by a company=3 Total number of applicants=28 T...

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Q: п (4x)“ a ) Σ 2 п п-1 8

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Q: In a survey of 3029 adults, 1480 say they have started paying bills online in the last year. Constru...

A: We have

Q: Determine whether xT= (0, ) is an optimal solution to the following linear program. maximise ,n + E2...

A: We will use the basic knowledge of linear programming and optimization to answer this question prope...

Q: Use the Riemann sum with n = 2 rectangles to approximate dæ. Round to 3 decimal places. A 0.867 B 0....

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Q: 13. A lamina occupies the part of the disk a? + y <1 in the first quadrant. Find its center of mass ...

A: Given that a lamina occupies the part of the disk x2+y2≤1 in the first quadrant. The density at any ...

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A: In the given question, the concept of Integration is applied. Integration Integration is a method of...

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Q: Use identities +o find the exact value. COs 255° A.) JZ-J6 B.) JE - Z C.) JZ-JE D.) JE -Jz D.) J6- J...

A: We have to find the value of cos 255°.  

Q: Siven the following: 00 5(-1)"x2n '(-1)"x²n cos(x) = for all x E R (2n)! n=0 ) Find a power series t...

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Q: 6. (*) Let U, V and W be vector spaces and suppose that L1 : U → V and L2 : V → W are linear transfo...

A: A transformation  L : U → V ;   U , V are vector spaces over the field ' F ' , is called linear tran...

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Q: Consider the function f (2)= +-z Which direction is a descent direction at z (1,1)?

A: This is a problem of vector calculus.

Q: 5 Age in years of players in a junior basketball league 14 9. 10 11 12 12 11 10 12 13 13 Q = Q, =

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Q: 32. y" + y = sec x; y = c1 cos x + c2 sin x + x sin x + (cos x) In(cos x), (-7/2, T/2)

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Q: Consider the following. g(x) = (x - 3)6/7 Find the critical numbers. (Enter your answers as a comma-...

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Q: Let f(x)= e* be approximated by Taylor's 1 polynomial of degree nat the point x = and on the entire ...

A: taylor s polynomial   f(x) = e^x entire interval [0,1]  

Q: 1z 2x² + y%, (1) z = 2 y;

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Q: Find the interval of convergence.

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Q: 12. Let Gbe an open set in R". Two points x, y e G are said to be equivalent if they can be joined b...

A: Given that G is an open set of ℝn. And the given equivalence relation is: Two points x, y ∈ G are eq...

Q: 6. If a cars position on a straight road is given by p(t) = t3 – 6t2+ 8t %3D find the inflection poi...

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Q: PCt) =<5-t, 4t -3,3t7 uking are length Reparami tize parameter from the point (4,113).

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Q: 6. Consider the recurrence relation an = an-1 - 2an-2 with first two terms ao = 0 and a1 = 1. a. Wri...

A: Introduction: When a term of a sequence is defined through its predecessors, the relation is referre...

Q: Perform the transformation. write csc X in terms of sec X. A.)土VSCC2メー1 B.) Isecxvsec? X-1 C.) I J s...

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Q: 17. Find the solution to the interpolation problem of finding a polynomial q (x) with deg(q) < 2 and...

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Q: ye-(²²+y²+z²). Find all points (x, y, z) such that Vf(x, Y, z) = Question 2. Consider the function f...

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Q: In a budget, the price of a gallon of petrol went up from $1.50 to $1.80. What was the the percentag...

A: Given that the price of a gallon of petrol went up from $1.50 to $1.80. We have to find the percenta...

Q: (b) Find the area of the triangle whose vertices are A(0,0,0); B(1,1,1) and C(0,2,3).

A: Given vertices are A0,0,0, B1,1,1 and C0,2,3. We have to find the area of the triangle whose vertice...

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Q: If P1 is (3,5,00, P2 is (-1,2,7), and P3 (6,0,2). Find the shortest distance of the line P1P2 and P1...

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Q: the fünction on the closed interval. Use a graphing utility to verify your results. (If an answer do...

A: We have to find the absolute maximum and minimum