Express 1+ cos a + i sin a in the modulus amplitude form.

Q: To accommodate more depositors, new investment products were made available to the small businesses…

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Q: Express 7 (cos 300° – i sin 30°) in polar form.

A: convert in polar form

Q: a 1.F.5 To any vector v = in R³ we can associate a polynomial p.(x) = ax² + bx + c in P<2. There is…

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Q: f(x)=x3-7x²+8x-3 iF Xo =5

A: Using Newton-Raphson Method we determine the approximation to the solution, where  f(x)=…

Q: Problem 7. Let f : N→ N be the function such that f(n) = 1 if n is a perfect cube, and f(n) = 0…

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Q: w the depth first traversal of the following graph. Start at vertex 1. Ties are resolved in…

A: Here I run a python script and see the result.

Q: () Consider matrix A = and vectors x = and y = Calculate matrix B = (A – A")² and vector w = Bx.…

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Q: f(t) = 2t² + 4t – 3 4+2s-3s? А. c 4+4s-3s? С. s3 2+2s-3s2 В. 2+4s-3s2 D. s3

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Q: how that every Cauchy sequence {pn} is bounded.

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Q: Find the coefficient of sin nx in the Fourier series expansion of f (x) = x² (0 <x < 2n)

A: We find the coefficient of sin(nx) in the Fourier series expansion of f(x)=x2(0&lt;x&lt;2π).

Q: Q3) By using Graphical Method. Find the optimum solution of X1 and X2 that the maximize Z=X1 + X2…

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Q: Determine the last three digits of 202220232024 + 20072002 + 2019.

A: The expression given is as follows: 202220232024+20072002+2019 We are asked to find the last three…

Q: J2005 is divided by x-a. (i) Show that 2a3 + a² – 13a+ 6= 0. (ii) Solve this equation completely.

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Q: Find all proper nontrivial subgroups of Z; x Z, x Z;. Find all subgroups of Z; x Z, of order 4.

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Q: (2x - y)da + (4æ + y- 6)dy = 0 C = x - y-1 Option 2 None of the choices C = x +y- 1 C = x-y+1 Option…

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Q: factor

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Q: What is the probability that a 5 card hand contains 3 reds and 2 blacks? O 13 Cax13 C2 52 C5 26 C3X…

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Q: Use the method of undetermined coefficients to solve the initial value problem. y"+ 4y = 2 + 8ed,…

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Q: Ax) = Ln=0 n! e Show that: GAx)dx = En=1 n(n+1) (–2)"-1 (n +2)! ||

A: Here we use integration and series theorems to find the solution.

Q: Use Fixed-Point Iteration Method to approximate one real root of f (z) = 2 sin()- z using z = 2…

A: Given: Let us consider the given, fx=2 sinx-x x=2 sinx with x0=0.50 %ER&lt;0.005%

Q: The system of linear equations: X1 + 2x2 + 3x3 = 2 X1 – x2 + 2x3 = 1 Select one: О а. is an…

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Q: Write the equation of the hyperbola in standard form. (-1,7) (-1,5)

A: Consider the given figure. We have to find the standard equation of hyperbola. The standard form of…

Q: 1/4 1. Find all the values of 3.

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Q: Let R = {(x, y) € R² | In y <r <1n1< y< e} and let S be the surface defined by the vector function…

A: First we find the region of (u,v) such that the projection of surface on xy-plane is R.

Q: (a) Do u1 and u2 form a basis of R³? Justify your answer. (b) Do u1, u2 and u3 form a basis of R°?…

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Q: Use a compass and stralghtedge to decide whether each set of lengths can form a triangle. 7 cm, 6…

A: Concept: To form a triangle, the sum of any two sides of the triangle should be greater than the…

Q: S. y dk t x dly luhere L=

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Q: 1. Prove that an algebraically closed field is infinite.

A: A field F is said to be algebraically closed if each non-constant polynomial in F[x] has a root in…

Q: Let S = {(x, y) : x and y rational numbers}. a. What is the interior of S? Justify your answer by…

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Q: 6. Simplify. Write as a mixed radical in lowest form. V300 – 5/27 + 2/12 - [5,5] a) b)

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Q: Which of the following expressions represents the permutation of the 6 keys on a key ring? a.) 6P6…

A: To find Which of the following expressions represents the permutation of the 6 keys on a key ring.

Q: 21 [x] -308 X If (2x 3 0, then the value of x is 23 2 13 2. 2 13 3. 2 23 4.

A: Given equation 2x312-30x8=0. We have to find the value of x. Zero matrix A zero matrix is just a…

Q: f(t) = te-6t 1 А. (s+6)2 1 C. (s-6)2 В. 720 D. (s-1)7

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Q: Problem 3: Given the nth-term formula below, compute the first five terms of the sequence: an n=…

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Q: [17] For each of the following equations, • find general solutions; • solve the initial value…

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Q: Exercises 6.1 In Exercises 1-8, show that the given set of functions is orthogonal with respect to…

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Q: 80 24c 80 C = 24 Write the 80 as the product of 5 and a power of 2. Write the 24 as a factorial.…

A: This is a problem of Taylor's polynomial approximation.

Q: Find the Laplace transfomation of the function f(t) : cosh at sinh bt

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Q: by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z=10X1+25X2…

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Q: go SL x* dy- dy ax where L is segmeut bekueeu two pailuts (9,0) aud (1,0)

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Q: Measure and record the following masses b. 11 11 10 (1 kg) 10 (1 kg) 2 3 9. 3- Mass Mass (x 100g) (…

A: Given:

Q: y" -y-2y 0. Assume that y, (t) = e and y2(t) = e" forma fundamental set of solutions. %3D (b) Let y3…

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Q: One of the stationary points of the Uncuon Is this a maximum or minimum point of the graph?

A: Given: y=4x5-6x3+x2-2 The stationary point is (-1,1).

Q: f(t) = t5et 120 А. (s-4)6 24 C. (s-5)6 120 В. (s-4)5 24 D. (s-5)5

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Q: Consider the basis B={(2,1),(-1,2)}. What are the Fourier coefficients of (0,5) w.r.t. B? (1/2,2)…

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Q: The expression x + ax² + bx – 3. where a and b are constants, has a factor of x- 3 and leaves a…

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Q: The coefficient of Sln(X) in the antiderivative of (x)=| coS is Blank 1 (use fraction form not…

A: Solution

Q: Determine the value of the following mathematical expression, where u=3 and v=6. each) 4v a. w = Зи…

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Q: f(t) = t? cos 6t 2s(108-s?) А. (s2 -36)3 2s(s? -108) C. (s2-36)3 2s(108-s2) В. (s2+36)3 2s(s?-108)…

A: Given function f(t)=t2cos6t. We have to find the Laplace Transform. Formula will use 1.…

Q: For the following boundary value problem, use the collocation method to determine a solution of the…

A: Collocation method is used to find the numerical solution of the ordinary differential equation.…