Consider the function f(x) whose graph is shown below. Determine the following a. lim f(z) 2-3 b. lim f(z) c. lim f(z) d. lim f(x) e. lim f(z)

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

A: Given figure is Since ABCD is a square and ∆BCE is equilateral . So DC=CE

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

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Q: Q. Sketch the given region and then evaluate appropriately xy şdydx 1+ x2 + y (i)

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A: Given two matrix A and B  ,we have to find the value of A-B.

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

A: Given figure is Here ABCD is the square So AB=BC=CD=DA    (1) and ∆BCE is equilateral triangle, so ...

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Q: Let f(x) = 1+ + x² + x³ + x4 +x5. Find the remainder R3(x) = f(x) – T3(x). Find the maximum value of...

A: Given:Let f(x) = 1+x+x2+x3+x4+x5  

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: Suppose the initial mass of a radioactive isotope was 80 g and the half-life of the material is T. T...

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Q: (a) Use the differential equation to show that any solution is increasing if m < P < M and decreasin...

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Q: 1 Let f (z) z - 8 Part (a) Integrate the function f (z)along the curve C the complex plane given by ...

A: Using the Cauchy integral theorem on the closed contour for part(b).

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Q: 3. a, b.c E Rwhere, a + b+c = 0 and p2 +2 = 3i+37. a. Show that, (as- bi) (ai+ aibi + bi) = b. Show ...

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

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Q: (4) Consider the following set: S = {(x, y, z) E R³ | xy + yz + x =-2}. (a) Show that S is a surface...

A: Given: S=x, y, z∈ℝ3| xy+yz+x=-2 To show: a) S is surface. b) Give parametrization of S such that -1,...

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Q: 2- 5s b) F(s)= (s – 6)(s² +11)

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Q: 1 Differentiate f(x) = log, x from the first principle. Note: f'(x) = x In a

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Q: Determine whether S is a basis for the indicated vector space. S = {(0, 0, 0), (2, 4, 6), (6, 3, 2)}...

A: Since S contains zero vector, it is not linearly independent.  a(0, 0, 0) + 0(2, 4, 6) + 0(6, 3, 2) ...

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Q: Consider the vectors [1,0,0, -1]; [0, 1, 1, 0]; [1, 1, 1, 1]; [1, 1, 1, 0] (a) Show that they do not...

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Q: Consider a, B = 0. A possible graphical representation for the equation plane ax = By is: A) B)

A: Given  α,β≠0.we have to find the graphical representation for the equation plane.αx=βy

Q: 2016 What is the highest power of 15 that divides | 1000 Be careful! 15 is NOT prime.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

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Q: 2016 What is the highest power of 15 that divides 1000, Be careful! 15 is NOT prime.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Express the following complex number in exponential form: (-1 – 5) 3.1 e2.5i 5.1 e4.5i -5.1 e4.5i 5....

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Q: Let A = {0, 1, 2} and let B = {-2, 0, 1, 2}. %3D

A: Given,        A=0, 1, 2, and B=-2, 0, 1, 2

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Q: Q2: Using Newton-Raphson's Method, find the Root of the following equation: Sin x – e-X= 0 , let x, ...

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Q: Let P (A) = 0.4 and P (A ∪ B) = 0.6. For what value of P (B) are A and B independent?

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Q: Consider the points A(1, -2,4), B(2, –4, 1), C'(-1, –3, 1), and D(3, 1, –5). (a) Find the volume of ...

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