8 Find the sum of Σ n=1 A) 1 9n²+3n-2 hint: (partial fractions) 2 B) B)=1/12 (C) / D) = E) 3 4 3 F) G) 1 H) diverges

Q: b) 4(x – 4)(x + 2)² (2x – 1)³ < 0 - -

A:

Q: A statistics teacher wants to determine whether there is a linear relationship between high school…

A: Here n = 23

Q: 2k 2k +2 3k +1 3k +4 k=1 2 а) 3 b) 0 c) 6 1 d) e) Diverges. ||

A: Given series is  ∑k=1∞2k3k+1-2k+23k+4 where ak=2k3k+1-2k+23k+4 the above series is telescopic…

Q: I+116 Jz- 10)(z+9) dz, by expressing the integrand as the sum of the partial fractions. Evaluate

A:

Q: Sx³cos5xdx

A:

Q: Evaluate: L(e* -3t * sinh 7t).

A: Given: Le-3tsinh7t

Q: There are 5 types to solve linear diff. eq. of first order * True False

A: Given that , Linear differential equation-A linear differential equation is defined by the linear…

Q: A water tank has the shape of the solid formed when the region bounded by y = and the y-axis for 0 <…

A:

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A:

Q: 1 Evaluate using Convolution theorem : L

A:

Q: Compute f. F · dr, where F(x, y) = (8 + 21x², 4xy) and C is a line segment from (0,0) to (1,2). (Use…

A: Given F(x,y)=8+21x2,4xy2        (1) Line segment from (0,0) to (1,2) is y-0=2-01-0(x-0)⇒y=2x…

Q: Prove c (A + B) = cA + cB   (c + d)A = cA + dA   c(dA) = (cd)A  IA= A

A:

Q: Deiding Plyromials 2,2

A:

Q: Is Q closed over multiplication? (Y/N)

A:

Q: For 1 De

A:

Q: 2. Expand the following summations: a. b. Σxy c. Ef-o(2 + z;) d. E- x+ y e. E(axi+ b)? f. E(2xi+…

A: Multipart:  We need to expand given summations ,  We know that , summation is the addition of…

Q: 25) Which notation describes the translation of the sailboat B(70, 20) to the lighthouse B'(10, 80)…

A: Given: B70,20, B'10,80 For reaching from point B to point B', we have to use operation x,y⇒x-60,…

Q: 8)능(x+ 27)-극(x-3) -x*5 -3)%3Dx+5 81 A), B

A: Solving by separation of x we have

Q: "Prove that the value of x for the 2 × 2 contingency table a b is given by N(ad-bc)?…

A:

Q: 8) 2csc2 0 + 1 = 3csc² 0 %3D T 3n B) 2 A) {0, 2 2

A: Given:  2 cosec2 θ +1 =3 cosec2 θ⇒3…

Q: /128 V72 (a) Simplify (b) Simplify 5 V3 1+V3 3+2/3' 1 giving your answer as a fraction with an…

A:

Q: Q.4) Find the value of Sigma (d=sum of student id + 22, and c=12) 4c(d + x)(7c* +2cz +9z*) ((d +x)*…

A: As the student ID is not provided, I assume the sum of the digits are 10 (say). Then d=10+22=32 and…

Q: S+1 1- FI)

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 1. (а) 52x $* (b) 3' x 32 - 5 2. (a) k* x k? (b) m³ x m 3. (а) у к (-у") (b) -x (-)

A: Given: 1.(a)52×56  (b)33×332.(a)k4×k7   (b)m5×m9   3.(a)y2×(-y10)  (b)(-z3)×(-z4)

Q: 4x-3=8 identifying terms of 'x)' c) Vanable d) operotor a) coefficient b) constan

A:

Q: Let A = {a, b}, B = {x, y}, C = {x, z}. а) (6.1 #32b) Find P(A x B). a

A:

Q: Compute √√√(x+x+x+10)8 4x-2 dx.

A:

Q: 03)Find: T(n+1)% = 1) 2) 3) T(e)= %3D

A: 1. From the definition of gamma function we know that τ(n+1) = n!

Q: Need c) only use product rule 3. Differentiate. a) M(u) = (1– 4u²)(u+2) b) g(x)= (-x+ 3)(x- 10) c)…

A:

Q: O d. 3 34 9x + 3 Which of the following expressions does not represent the sum: Select one: O a. 2k…

A:

Q: 1 Use convolution theorem to evaluate L-1 (s²+9)²)

A:

Q: (c) Conclude that T is orthogonally diagonalizable.

A: Let's move on to part (c) of the problem.(c) Conclude that T is orthogonally diagonalizable:It has…