using polar cordinade to thd iasde -fnj +x. area

Q: Suppose that A is a 16 x 14 matrix that has 6 pivot columns. Then: (i) dim (ColA) is (ii) dim(ColA)-…

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Q: Evaluate the Inverse Laplace Transform 2 s+s+ 3 F(s)=

A: Given below step by step solution

Q: Evaluate the Inverse Laplace Transform F(s)= s+ 3s + 2

A: Problem is solved using concept of inverse laplase.

Q: For all x E R, e* xn n! a. Express f(x) = x?e* as a power series %3D b. Find the third-degree…

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Q: Consider the function 3zy f(z, v) : (a) State the domain of f(z, v). (b) Find the limit 3ry lim (za)…

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Q: Consider the following graph. 5- 4- Let u,(t) = u(t – 7) be the unit step function shifted 7 units…

A: Given: A graph To find: Express the function in the above graph in the form of y=f(t)uat+g(t)ubt.

Q: Saran is a well known golfer in Klang. He would like to enhance his swinging skill to improve his…

A: (a) Given that the table Time (s) 2 4 6 8 10 12 14 Trail 1 (m/s) 17.5 18.5 19.9 21.6 20.3 19.0…

Q: You are given that B= {1+x, 1 – x², x + 2x²} is a basis for P2 and -27 [p(x)]g = 3. If p(æ) = a + Bx…

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Q: Find all integer solutions (if any) of the following Diophanti- ne equations. 1. 43x+64y = 1

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Q: -2-x Q1) Evaluate the integral S* dy dx using polar coordinate 0,

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Q: You are given that B = {1 – x², 1+ x, 2x + 3x²} is a basis for P2 and - 2 [p(x)]B= |3. If p(x) = a +…

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Q: For all x E R, eª = > ) n!" n=0 • Express f(x) = x²e® as a power series. • Find the third degree…

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Q: Question 2 Find the inverse Laplace transform of -4s H(s) = - e

A: The solution is given as

Q: See equation below. Find: a + b -c+ d. (Answer must be an integer) The system x' + y = t; 4x + y' =…

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Q: - 2T -T 271 a ftt)= Cos nt Fourier Series s'i n:1,3,5,... %3B findi a+ b+ C

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Q: 1 2n Consider an = tan-1 n 1. Determine if the sequence {an}n=1 converges or diverges. 2. Is the…

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Q: Find the surface areas of the figures on the right. (a) The surface area of the right trapezoidal…

A: Given the right trapezoidal , we are to find the surface area of the trapezoidal.

Q: 2. — 4х, + 2х, — — 6 4x1 2x2 Зх, — 5х, 1

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Q: Consider the following graph. Let u-(t) = u(t – 7) be the unit step function shifted 7 units to the…

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Q: c2-x Q1) Evaluate the integral f. S. ** dy dx using polar coordinate

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Q: Suppose that A is a 20 x 15 matrix that has 9 pivot columns. Then: (1) dim(ColA) is (ii) dim(ColA)+…

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Q: Let W he the subspace of M(R) defined as follows w - Span ( 1-L: D a. What does a typical vector in…

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Q: Write the integral that would be used to find the area bounded by y =x² + 1, y = x – 2, x = -2 and x…

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Q: Let B = {b1, b2} and C = {C1, c2} be two bases for a vector space V. You are given that b1 = 5c1 +…

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Q: Let B = {b1, b2} and C = {c1, c2} be two bases for R?, where 31 b1 b2 C2 7 3 10 22 b] what is the…

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Q: Verify if the resulting series of constant terms when x = 0 is absolutely convergent, conditionally…

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Q: Prove or disprove the following cases: (i) If x E Q and p € R – Q, then x+p€R – Q. (ii) If x E Q…

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Q: Given the matrix G = and do =|Then do and dị are G – conjugate if dį is given by 1.5 O A Non of…

A: We know that,  Two vectors u and v in Rn are A-Conjugate for a matrix A of size n×n if  uTAv = 0

Q: Question 35 Let B = {b1, b2} and C = {C1, c2} be two bases for a vector space V. You are given that…

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Q: 4. У(п) %3D [x1(п) * х2(п)] х1(п) %3D 26(п) + 56(n-2) х2(п) 3D 46(n-4)

A: Given y(n)=x1(n)*x2(n) Where x1(n)=2δ(n)+5δ(n-2)                (1) x2(n)=4δ(n-4)…

Q: Determine the 3rd degree Maclaurin polynomial for f (x)= cot"(x) cot"EI) then use this to estimate…

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Q: 온 de ans.

A: Answer is =1/15

Q: 1. Let f be defined on an open interval (a, b) and assume that f has a local maximum or a local…

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Q: Q4) Find plane area inside the polar function r = 2 and outside the polar function r = sin -0) +1 in…

A: 4. To Find: The Plane area inside the polar function r = 2 and outside the polar function…

Q: If AT = ul v. A and if the vectors U and V satisfy Au 5u and Av = 7v, then True False

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Q: Show that if x is an integer, then gcd(x + 1, x2 – x + 1) divides 3. -

A: First, we find gcdx+1, x2-x+1 Now, factors of x+1 are x+1, 1 x2-x+1 is a quadratic equation of the…

Q: Ei) dim(COLA) is (ii) dim(ColA)- is (ii) dim(RowA) is (iv) dim(RowA)- is (v) dim(NulA) is

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Q: 2 1 -1 Let W = Span 1 1 . Then, the distance and y = 3 -21 11 from y to W is W is

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Q: 23x+3+42x-1 6. S dx 2x+3 In(sin x) 7. S- tan x | Voty csc' y dy 8. dx 9. x log 10 x e" dr 1 + e" 10.…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: +x (-1)" Given cos(x) = (-1)". n=0 (2n)! -x2n for all x E R, %3D 1. Express the integral cos x dx as…

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Q: 3. 2х, — х, = 2 х, — Зх, + х; 3 — 2 -x, + x2 - 3xz - 6 %3D

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Q: (iii) If u = 461 + 362 and [u]c = then the value of r is and the value of S is (iv) If V = 3c1 + 2c2…

A: Given that  b1 = 10c1 +3c2,  b2 =27c1 +8c2 c1 =-8b1 +3b2,   c2=27b1 -10b2

Q: dx (1 – e²)² -1

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Q: Determine whether the following series converges or diverges

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Q: Given the series, is it convergent or divergent? Eto 4+cos?n n%=1 3n-Vn n%=D1

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Q: Consider the quadr atic form f (x1, 22, æ3) = x} + æ% +7æ% + 22x1æ2. (i) The maximum value of f(x)…

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Q: 9. X = X= [X1 ; X2] Initial condition X¡(0)=0, X2(0) = 1

A: Given system is X' = 1411 X + 10 e-t Initial condition:- X1 0=0, X2 0=1

Q: Question 28 Consider the inner product space (P2, (,)) with the inner product (p(t), q(t)) =…

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Q: Given: sinx = (-1)" (2n+1)! -x²n+1for x ER (-1)"(2n+1) y2n+1 Compute the exact value of the sum E=0…

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