SIMPLIFY THE FOLLOWING: 1. Determine the absolute value of -2/3 – 2i. 2. Write the complex number z = 5(cos +i sin ) in its rectangular form. 3. -3/3 Convert the +ži into polar form.

Q: What is the amplitude and period of the function shown below? 8- 7- 6- 5- 1- -3 -2 -1 3. -1- -3 Acti...

A: To find the amplitude and period of the function given :- 

Q: 2. Use the Gauss-Seidel method to obtain the solution of the following system of linear equation: 0....

A:

Q: What is the formula that would be used to calculate the trapezoid approximation of ST 2s in x dx usi...

A:

Q: A point in the complex plane with both coordinates rational is called a rational point. The set of r...

A: The set of rational points on the unit circle will be denoted by Cℚ=a+bi ∈ℂ |a, b∈ℝ and a2+b2=1. The...

Q: Expand (2+ value of (1.9975)6 up to four decimal places. X\ 6 up to r³ in ascending power of r. Find...

A:

Q: Find the volume of the solid of revolution generated by revolving the region bounded by the graphs o...

A: See below for the solution.

Q: Consider the function of two variables defined by: f(x,y) = (x3y4) / (x-7210)2+(y-9245)2 What poin...

A:

Q: 2) 100 The series Cnn) is convagest by direct companso हे 100-1L test with E since it converges forr...

A:

Q: find the area of the surface obtained by rotating the curve along the x-axis

A: Surface area along x-axis

Q: Consider the series n (2а — 1)8п n4 +1 n=1 Use the previous item to find its interval of convergence...

A:

Q: SHOW WHAT TYPE of 1st order and 1st degree DE are the following differential equations and THEN SOLV...

A: We have solved the given differential equations.

Q: () ×-(; )» 1 2 K1 = X' =

A:

Q: 1. (10 points) Use the method of variation of parameters to solve y" + 4y' + 4y = e-2t In t

A:

Q: (x + y + z) for th ons ons

A:

Q: ind the total area between y = -x² – 2x and the x- axis for -3 <x< 2.

A:

Q: Let A = [aij] given by a x bij = (i-j)^3 is a: * Anti-Symmetric matrix Symmetric matrix Identity mat...

A:

Q: Let f(x,y)=g(x)h(y) where g and h are continuous functions on all real numbers such that g(x)=h(x+1)...

A:

Q: 2 – 2ay) dy,

A:

Q: A large amphitheater is set up in such a way that there are 16 seats in the first row 27 seats in th...

A: The given problem is regarding arithmetic progression series. First-term is given. A common differen...

Q: +y²)dx + (x² – y²)dy where C is the triangle with vertices (0,0), (2,1) and (0,1).

A:

Q: nich point/s (value/s of x) is the function conti

A: In this question, the concept of continuity is applied. At x=a, When  LHL=RHL=falimh→0fa-h=limh→0fa+...

Q: Discuss the possibilities for the roots to : 2x'-5x - 6x+4 = 0 12. 3x - 5x -x² -8x+4 =0

A: We can use Descartes rule of signs to check the nature of possible roots of the given function, P(x)...

Q: Evaluate the following: 1. "(1 – x)e-*dx -∞ exdx 2. S - 00 1+e2x dx 3. J1 x(x+4)

A:

Q: y' + 0.2y = 0, y(0) = 5, h = 0.2 || %3D %3D

A:

Q: of the ):305t=2 ;find at t:2 the area riDole

A: Given radius function is  r(t)=30t+2

Q: 3. Let f(x) = x² and for each real numbern > 1, define the function – |2| 1- In (x) = 1 – (i) Find t...

A:

Q: 3. Let f(1) = r and for each real number n > 1, define the function In (x) = 1 – 1– |z| (i) Find the...

A:

Q: Consider the function g : Zx Z → Z × Z defined by g(x, y) = (4xy, 9x + 5y). (a) Is g injective? (b) ...

A:

Q: n²x, 0<x<I/n fm (x)=={ --n²x+2n, 1/n<x<2/n ( 0, 2 n<x<1 uniformly convergent on [0, 1]

A:

Q: Classify the series as absolutely convergent, conditionally convergent, or divergen k + 4 E(-1)*+1. ...

A:

Q: Question 4 Find the volume generated by revolving the area bounded by x² + 4x + 4y + 8 = 0 and y = -...

A:

Q: 3 1 -3 A 4 2 = -3 2 1.

A:

Q: 3. Which of the following is the Laplace transform of sin (2t) - 2tcos (2t) ? A. s^2 / (s^2 + 4) ^2 ...

A:

Q: Let S = {x | 6x – 1 € Q} and T be the - set of all odd integers. Prove that S and T have the same ca...

A:

Q: Jestion 12 ind the volume of the solid generated by revolving the area bounded by x-y2 + 4y - 4 = 0 ...

A:

Q: Given f(x)=x" and g(x) =-x², which of the following statement/s is/are true? A. f(x) is differentiab...

A:

Q: dy 2. J y3+64 partial fraction

A:

Q: Using RK4 method, Solve for y(2).  y' + 0.2y = 0  y(0) = 5 h = 0.2

A:

Q: Calculate the volume of the solid that is inside the cylinder x2 − 2ax + y2 = 0 and below the plane ...

A:

Q: Use a truth table to determine whether the argument below is valid or invalid. pA (q V r) ... ~pV ~ ...

A: Given argument p∧q∨r~q∨~r

Q: What is 20% of the least common multiple of 30, 24 and 45?

A:

Q: Suppose that consumer has the following utility function: U(X,Y) = X2 + Y2. Which of the following i...

A:

Q: Determine whether the series converges. 00 k 2 In(k + 4) k=1 O The series converges. O The series di...

A:

Q: ^T) + (B^T) and (AB)^T = (A^T)(B^T) if the orders of matrices are appropriate. * False

A:

Q: Maximum Area A Norman window is constructed by adjoining a semicircle to the top of an ordinary rect...

A: please comment if you need any clarification. if you find my answer useful please put thumbs up.than...

Q: 20 3 -1 1 -7 X1 14 1 -3 1 8. X2 -2 12 2 1 X3 7. -3 -1 18 -4 8. X4 18 1 -3 -3 17 -1 X5 4 -1 2 10 -1 X...

A:

Q: 3. Determine the missing elements of A. -5 -6 6 A-1 2 0. 2. 1.

A:

Q: revolving th 4x and stra

A:

Q: Evaluate (2 + y² + z²) dV , where W is the cube given by W = {(x, y, z) E R° | 0< # < 1,0 < y< 1,0< ...

A:

Q: 8 Find the inverse Laplace transform of F (s) = f (t) = 8"H(t) (Write eab as exp(a*b)). %3| ||

A: We have to find laplace inverse of F(s)