-3z-6i Decide whether the function f(z) is differentiable or not. If it is differentiable , find f'(z) z+i

Q: Consider a function f(x) and its second Taylor Polynomial p, (x) centered at a. If p, (x) is not con...

A: Since we know  P2 (x) has the same first and second derivative that f (x) does at the point x = a.

Q: Let T: IR2 > R2 reflection (or orthogonal symmetry) with respect to the line 2x - y = 0. We call bac...

A: Given that T:ℝ2→ℝ2 is a reflection with respect to the line 2x-y=0. Also, given a=2-1, b=12. a)

Q: The solution to the following initial value problem is: y'+2y=8(t– 3), Y(0)=0 y(t) =e=t-3u3(t)

A:

Q: Given A-Sa, and B-4a, + B,a,, find B, such that the angle between A and B is 45. If B also has a ter...

A: dot product of two vectors A and B is defined as A·B = |A||B|cos(θ) here |A| is magnitude of vector ...

Q: 5 dx. Evaluate v2 x5 (64 – a4) ³ dæ 3 7 O 16' B - 2' 2 3 7 22 2'2 7 3 O 221 B 2'2 7 3 O 22 B 2'2

A: The solution is given as  

Q: 1 11 2 determine the eigenvalues of the matrix A and an 1 2 Q4: If A.x = Ax, where A = 1 3. 1 eigenv...

A:

Q: 1) March 2020, a woman was said to be exactly 3 months pregnant. How many days will it take to make ...

A: Since you have posted the multiple questions. I am answering the first one. Please post the question...

Q: Find the Laplace transform Y (s) = L{y} of the solution of the given initial value problem. t, 0<t<1...

A: The solution is given as  

Q: 1 dx 3x (3-9x)

A:

Q: n For each n E N, (,"11) = A) 1 B) 0 C) n D) n - 1

A:

Q: A firm in a perfectly competitive industry is currently producing 1,000 units per day at a total cos...

A: Given, a firm in a perfectly competitive industry is currently producing 1000 units per day at a tot...

Q: ind the null space of matrix A which is [1 2 3 1 3 3 7 3 8 A = -2 -5 -3 0 3 2 4 5 13 1 2 2. 3.

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Q: Explain whats happening?

A: Answer 

Q: (5) Compute the vector Surface integral of the {x,y,Z> vector field F(x.y,z)= A_r = A F = A IF3 wher...

A:

Q: Find the Laplace transform of the function { S 1, 0<t< 0, <t<0 f(t) = NOTE: Express the answer in te...

A: The solution is given as  

Q: 28 zdV where E lies under the surface z = 57 1 1 Compute I = y + 29 and above 28 3 29 2' 14 5 45 2' ...

A:

Q: (6) Suppose A CR is countable. Show that there exists a real number r such that An(r+ A) = 0. (Here,...

A: We prove this by contradiction

Q: D Question 2 Select all that apply: r y" + 3ry - 2y = In r 3rd order O linear Ononlinear O 2nd order...

A:

Q: Find the sum of the series 1+ 4*2! + + 16-4! + 64*6! ....

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Q: Show that the functionf (x ,y)=xy³onD: x|<2, ]y|<oodoes not satisfies Lipschitz condition.

A:

Q: Find the Fourier series upto the third harmonic for the function y = f(x) defined in (0, z) from the...

A: Given the table, x 0 π6 2π6 3π6 4π6 5π6 π fx 2.34 2.2 1.6 0.83 0.51 0.88 1.19 There are m=7 ...

Q: Solve the system (if possible) : 5x-2y = 4 15x-6y = 12

A: The given system is                                    

Q: See the attached file (9 t2 and t = v2x + 1 dy 9- Find ify dx t2+1 dy 2 A) dx 4(x-1)2 dx 2(x-1) dy 1...

A:

Q: Define a relation on Z x Z, xRy, |x - y| < 1. Is R reflexive, symmetric, and/or transitive? Explain ...

A:

Q: 1% B = [ c = |; 1= 6 1, where j = v=1, express (a) Q3/B: If A = A.B, (b) B. C, (c) C.A and (d) A² in...

A:

Q: 5. (a) If f(x) = x · 2“, give an estimate of the net area of the region bounded by fand the x-axis o...

A: As you post multiple question according to guideline i only solve first part. please post the other ...

Q: en taol 7 14 20 f(x) 45 70 Using Lagrange's interpolation formula, find f (18). 25

A: To find f(18) using lagranges interpolation method.

Q: Solve y”+9y = 2cos(3x)+3sin(3x) using the method of undetermined coefficients. Show all support wo...

A: The given differential equation is                                             y''+9y=2cos(3x)+3sin(...

Q: The center of the sphere whose one of its diameters has end points P1(1,-3,-1) and P2(2,0, 1) is A)(...

A: Sphere Definition: A sphere is a three-dimensional counterpart of a circle, with all its points lyin...

Q: B- Evaluate the following double integrals: .2 .4 1) | (x+ 3y x²)dy dx

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

Q: The symmetric equations for the line passing through (-3,-4, –5) and parallel to the vector (1,7,– 2...

A:

Q: Consider the two lines Lı : x = 2- 3t, y = -1+ 2t, z = and L2: r = 2+ s, y = -1- 3s, z = that contai...

A: We will find out the required equation of plane

Q: Construct the truth table of the following compound propositions by following the step workbook to d...

A:   1. Given,                      p→q∨~r

Q: QI Fill the blanks : 1 1-If A= -3 4 ,3A -1 2х-3 2-If f(x)= . g(x) = x2 - 1 a- f(x)-1=, . b- f(g) =. ...

A:

Q: Find the solution of the given initial value problem. y" + 2y' + 2y = 8(t – n); y(0) = 5, y' (0) = 2...

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Q: Question 12 Use the Method of Undetermined Coefficients to determine the form of the particular solu...

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Q: 2: For a given table 2 5 8 11 y 4 8 13 18 (c) Using Lagrange's interpolation formula, find the value...

A:

Q: Consider the function f: Z x Z → Z defined by f (m, n) = 2m – 2n for all (m, n) E Z × Z. (a) Is f on...

A: A function f: A→B is said to be one-one if        f(x1)=f(x2)   ∀x1, x2∈A         ⇒x1=x2 In words, ...

Q: 11] Q4: If A. x = Ax, where A = 1 3 2 determine the eigenvalues of the matrix A and an -1 1 21 eigen...

A: Let us take a square matrix A of order n×n. Characteristic polynomial is given by: |A-λI| |A-λI| rep...

Q: 4.x3 – (2² +5)² Write out the form of partial fraction decomposition Ax+B Cx+D x² +5 (2² +5)² A B x²...

A: The procedure of splitting up a rational fraction into two or more than two fraction is called parti...

Q: A Curve a with aca) = (2,4,4), 2e2) = (0 ,2 54). %3D %3D Find Kea), B)

A: We will find out the required value for given curve.

Q: • Applying the division algorithm on a = -20,b = 7 we have A) -20 = (7)(-2) + (-6) B) -20 = (7)(-4) ...

A:

Q: Find the approximations Ln, R, Tn, and M, for n = 5, 10, and 20. Then compute the corresponding erro...

A: Given integral ∫1222x2dx  n=5,10,20 So, we have a=1, b=2, fx=22x2 For n=5L=b-an⇒L=2-15⇒L=0.2 Ln=∫122...

Q: Multiplication in Boolean algebra is equivalent to the AND function. Select one: True False

A: Multiplication in boolean algebra is equivalent to the AND function. For example,take 0 and 1 in boo...

Q: Let a and b be non relatively prime positive integers. If there exist integers s and t with as + bt ...

A:

Q: Determine whether it is proposition or not, if proposition determine the truth value, if not justify...

A: If we can say that the statement is true or that the statement is false then that is a proposition. ...

Q: 87. Use spherical coordinates to write the differential surface areas dS, and dS, and then integrate...

A:

Q: Which function represents an exponential growth? O v=4) O y = 15(0.4)* Ov= O y=8x3

A: We have to solve given problem:

Q: A museum wishes to display five paintings next to one another on a wall. In how many ways may this b...

A: The question is based on permutations. Number of ways r things can be arranged in n spots are: nPr =...

Q: tan- 3x b- Evaluate 3+27x2

A: To evaluate the given integral 

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.