Determine sin(2 – 2i) and write the answer in the form a + ib.

Q: Determine if this infinite series is convergent or divergent. Explain your answer.

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Q: #3. Let n be an wi'th nzl and let b, bz ba be integer posikive real numbers, not all egual, such tha...

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Q: try also solve this by Variation of Parameters method! Solve the following initial value problem: y"...

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Q: ce cut from the first octant by the cylinder z = 12 – 3y, and the plane x + y = 2

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Q: Q 4.1.The number of rows that appear in the truth table for the compound proposition: (p 19) (r (-p ...

A: # We are entitled to solve one question at a time ,please resubmit the other question if you wish to...

Q: A trough is 2 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end...

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Q: 20. tautology using any proof method (NOT a truth table). Demonstrate that the following statement i...

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Q: Solve the Following Equations Using Newton's Method a) cos(x) – sin(x) = 0.5 b) e* + 4 = x* – 10

A: We have to find the solution of the equation cosx - sinx =0.5 Using Newtons method.    Note - As per...

Q: Given the function h(x) and the following information: 1. h(-8) = 7 2. h'(x) > -9 on [-8, –1] Which ...

A: We can solve this by using fundamental theorem of calculas

Q: Use elementary row or column operations to evaluate the determinant. 4 4

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Q: i1. L'[s/(s² +a)*]= (1/2a) t sin at 12, L' [1/(s² + a?)² = (1/2a) (sin at – at cos at) %3D

A: Introduction: The convolution is very significant in calculatig inverse Laplace transformation. Supp...

Q: Question 7 z/z - 2)] d(n + -2) + 28(n + 1) + 2(-1") 老 d(n + -2) + 48(n+ -1) + 2(2")| d(n+ -4) + 28(n...

A: We have to find the inverse z transform.

Q: Suppose a linear transformation T:R → R° has eigenvector vị = with eigenvalue 1, eigenvector v2 = 3 ...

A: Let T:ℝ3→ℝ3 be a linear transformation  1,0,0,0,1,00,0,1 be a basis of ℝ3 Let A=abcdefghi be matrix ...

Q: 5. If f:1 → R is differentiable on I and f(x) 0 ,f'(x) ± 0 for x € l if g(y) =÷ , y# 0 what is (gof)...

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Q: Let R[r] be the set of all expressions 00 a = do+ajx+azx += i=0 where a¡ E R for all nonnegative int...

A: We will be solving part (b) as mentioned. (b). Given ℝx be set of all expressions a=a0+a1x+a2x2+…=∑i...

Q: Question 3 Find the value of x6 in 3 decimal places (positive root) using Secant Method (6th Iterati...

A: Solution: Given function f(x) = x^2 -x -1

Q: Q. Find the fourier Sesies of { 6) %3D = -J Hence, dedute Shd 공-+능+능+ %3D ...

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Q: If α is a translation, show that ασp is the halfturn about the midpoint of points P and α(P). What ...

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Q: Find the general solution: 2y" + 3y' +y = 2e2 + x² + 3 sin(x).

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Q: () 2p n! (a) (") = 2 (mod p), where k for 0 <k <n. k!(n – k)! (b) (Зр - 1)! 2р2 (mod p3)

A: As per our guidelines we are supposed to answer only fast question. Kindly repost other part in the ...

Q: Answer the following True or False. (h) (0,1/2) is an element of Q x Z (i) (0, 1/2) is an element of...

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Q: A. Laplace Transform of Elementary Functions. Find the Laplace Transform of the following. 9. 10 sin...

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Q: 3 Q2. Find an approximation to V11 using 4 steps Newton's method.

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Q: „3 Determine the volume of the solid created by rotating the region bounded by y = x°, y= 125, the x...

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Q: Date.. Q. Find the Fourier Series of x)=-x-X

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Q: Question 5. Given the following mat ices: [1.0 4.6 7.1] X = 1.0 2.2 3.2 [-2.6] y = The normal equati...

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Q: Suppose that 0< fn < In on X for all n e N. If gn 30 on X, then fn 30 on X.

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Q: a sin a + In v ) da + tan adv = 0 COs a (In v)(sin a) = v cos a- sin a + C In v = a cot a- 1+C(Arc s...

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Q: Ages of Children The four children in the Rivera family are Reynaldo, Ramiro, Shakira, and Sasha. Th...

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Q: Consider a fictional country with a population of 430,665 that is divided into 5 provinces, as shown...

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Q: How far is the centroid of the area bounded by the curves y = e^x, y = e^-x, and x = 1 measured from...

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Q: Determine the Integrating Factors of the following differential equations a.) (x2 + y2 + 1)dx- (xy ...

A: We determine the Integrating Factor of the given differential equation   (x2 + y2 + 1)dx- (xy +y)dy ...

Q: Find the inverse Laplace Transform of: s- 1 (s – 2)(s – 3)(s – 4)

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Q: 11. Show that dza;b; is equivalent to a b. ij

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Q: A rectangle of maximum perimeter is to be inscribed in the ellipse x^2/22^2 + y^2/10^2 = 1. The rect...

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Q: Given a function f : R⟶R that is continuously differentiable on  x∈{x−k,...,xn−2,xn−1,xn,xn+1,xn+2,....

A: Given: f:ℝ→ℝ is continuously differentiable for all x∈x-k,…,xn-2,xn-1,xn,xn+1,xn+2,…,xk⊂ℝ. To find...

Q: 2p a) n! = 2 (mod p), where for 0 <k < n. %3D k!(n - k)!

A: To prove the given part (a) 2pp≡2mod p where nk=n!k!n-k! for 0≤k≤n  

Q: Solve the differential equation: (s-s^2-t^2)ds+(t+s^2+t^2)dt=0

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Q: Solve for the differential equation of the below Transfer function (use inverse Laplace Transform me...

A: Inverse Laplace transferom

Q: Use the Maclaurin series for sin(x) to compute 3 sin(3°) correct to five decimal places. 3 sin(3°) =...

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Q: (w? – z? – 4z – 1))dw + 2w(z + w + 2) dz = 0

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Q: 2. Change the following IPV4 addresses from dotted- decimal notation to binary notation. [ a. 114.13...

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Q: 3. Determine whether the given series is convergent or divergent. +00 5" + sin? n (a) Σ 3n - |sin n|...

A: Series and sequences

Q: Find the length of the given curve: r(t) = (-3t, -3 sint,-3 cos t) where-3 sts 5.

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Q: e graphs of 23 57 50 sin (-) 14 25 49 50 y= and y = 50 e ve been plotted on the same axes below. 2 2...

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Q: 1. FORMULA: A= Pe^rt. Substitute the given values in the formula below to find the missing quantity....

A: Q1 asked and answered.

Q: (s-s? – t²)ds + (t + s? +t ?)dt = 0 %3D

A: sds + t dt  + ( s2 + t2)  ( dt - ds)  = 0 Multiplying by   I . F . = 1s2+ t212 (s2 + t2)  ( 2sds + 2...

Q: . a) For spring-mass model a" + 4x' + x = part and the steady periodic part of the solution, and fin...

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Q: The sum of the digits of a three-digit number is 8. If the ones and hundreds digits are interchanged...

A: Introduction: When we solve a system of linear equations, we use Cramer's rule. It is very efficient...

Q: Leslie matrix the Leslie matrix, which is used to model population growth. Consider the following ex...

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