+If z = 4el3, determine In z (a) in Cartesian form, and (b) in polar form Į Determine in polar form (a) In (2 + j5) (b) In (-4 -j3)

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Q: Using ɛ-6 argument, prove that f(x) = x-[x] is continuous at all x ERexcept the integers. (Note: [x]...

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Q: Maximise -x² + 0.8x - y² + 1.2y using only points within the sphere a² +y° < 1 What is the value of ...

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Q: 1. Solve: ye*) dx + (xe*y+ 2y) dy = 0. %3D 2. Solve: (1+ x²) +y = etanx ty3e" dx %3D 3. Solve: p(p +...

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Q: Using ɛ-6 argument, prove that f(x) = x-[x] is continuous at all x ERexcept the integers. (Note: [x]...

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Q: 5 0.6 0.1 Apply Gershgorin's theorem on B = -1 6. -0.1 1 2

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Q: Determine the value of p (where |p| corresponds to the distance from the vertex to the focus) of the...

A: Given: Vertex of parabola is 6, 7 and x-intercepts are 3, 0 and 9, 0. To find: Value of p.  

Q: Evaluate v12 to four decimal places by Newton's iterative m

A:  let x=12 x2=12 therefore f(x)=x2-12 differentiating f'(x)=2x f(3)=9-12=-3 also  f(4)=16-12=4 since ...

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Q: Problem (1): Show that there is only one automorphism, the identity function, of Q. Problem (2): Sho...

A: Note:- Our guidelines we are supposed to answer only one question. Kindly repost other question as t...

Q: Exercise 0.1.1 The trough shown in the image below is constructed by fastening together three slabs ...

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Q: For the function f(x) = /1 + x, let xo = 0 and x1 = (a) Find the Lagrange interpolating polynomial f...

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A: Solution:-

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A: See below for solution.

Q: Provide a direct proof of the statement below. Let a, b, and c be integers. If a|(a+b), then a|b.

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Q: When repeated division by 2 is used to convert by hand 100 from base 10 to base 2, the quotient obta...

A: To convert decimal number to binary number.

Q: Let G be a finite group and H1, H2,…., Hk be subgroups of G. .... (a) Show that N H; = Hị n H2 n..n ...

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Q: The value of E[(i=O)^4]i! is О 32 O 36 O 30 O 34

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Q: 2. Consider a square ABCD and an equilateral triangle BCE in its exterior. Let F be the midpoint of ...

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Q: prove that the sequence (1/5^n) is convergent and approaches zero?

A: Series and sequences

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Q: Solve and evaluate problem involving Non- Bracketing Method. Use the Newton-Raphson method to obtain...

A: We want to find the value of 2. Let x=2 ⇒x2-2=fx  let ⇒f'x=2x By Newton-Rapson method the zero of th...

Q: CHOOSE THE IMAGE THAT COMPLETES THE PATTERN Select the correct response:

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Q: 2. Find F' (x) if F(x) = S VE² + Idt.

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Q: Q1: Convert the polar function to Cartesian function in the form f(x,y) 0? cos e + sin e cos-0 + sin...

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Q: (i) x' ^y

A: Solution 1: Conjunctive normal form⇒ meet the maxterm   Given x'∧y                    (1) We know th...

Q: 1. Fill in the blanks Let y be a solution of the differential equation cos y sin y de = (1), where s...

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Q: 3. Solve the following linear programming problem. Maximize: z= 4x + 5y Subject to: x+y<4 x-y2-2 x20...

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Q: QUESTION S Delemine Ir the series converges or diverges. Then choose each method or cone Σ In(2n) C=...

A: We have to check whether given series is convergent or divergent. And test name.

Q: 6. b = 1+35 + 35, 5 +3 A, 5+3-1= B a. If (25)* = (125) then determine y: x b. Show that, b³-3b-6b-4=...

A: Note:- For this problem, you don't mention about "b" in part (b), Will i have to use values of b and...

Q: Using ɛ-6 argument, prove that f(x) = x-[x] is continuous at all x ERexcept the integers. (Note: [x]...

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Q: A polar curver = f(0) has parametric equations x = f(0) cos(0) and y = f(0) sin(0). Then, f(0) cos(0...

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Q: Write the statement in symbolic form. p: Louis took discrete mathematics. q: Carla took linear al...

A: We have to write the statement in symbolic form.

Q: 211 8. Determine whether {(1+2)"} 5c1+系) Q8 Converges or diverges.

A: Series and sequences

Q: Verify Property 2 of the definition of a probability density function over the given interval. f(x) ...

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Q: Write an equation for the polynomial graphed below 4- 3 -2 -1 -5 2 3 4 5 -2. y(x) =

A: To write the equation for the graph of the given polynomial.

Q: 4) Show that and are eventually fixed points for the function : 8 4x Osx< 2- 4x sx< f(x) = - 1 4x – ...

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Q: Salue-

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Q: Using Newton- Raphson method, Determine the points of intersection between the circle x +y = 3 and t...

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Q: 2. What will be the new volume of this prism if a scale factor of 1.5 is applied to the dimensions?

A: Given,         and  Scale factor = 1.5

Q: 9. Fill in the blanks A model for the velocity v of a skydiver is = 9 – v². Then the value lim v(t) ...

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Q: The foci of an ellipse E are F1(-9,-4) and F2(3,-4). A parabola whose vertex is the center of E and ...

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Q: Here is the equation of a conic section such that the ordered pair (Vx, Vy) corresponds to its verte...

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Q: Let f : R → R with f(x) = -2x +5 Prove that f is onto.

A: Consider any real number a. i.e, a ϵ R.  Then (5 - a)/2 is always a real number. 

Q: 1: P: “Ahmad comes to the party", Q: "Salim comes to the party", R: "Khalid comes to the party", S: ...

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Q: Describe the factor group Describe the fa ctor group. (z/(u).)

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Q: Calculate the tensor product of la) and b) %3D

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Q: Solve the following recurrence: T(n) = 4T(n/2) + n²lgn

A: We wil use masters theorem.

Q: 5. Consider the following linear programming problem Maximize: P=12x1 +10x2 subject to: 5x1 + 3x2 <1...

A: Given- Consider the following Linear programming Problem: Maximize: P = 12x1 + 10x2subject to: 5x1 +...