Questions
Complex analysis

A complex valued function f(z) =z3−1−I, what is the solution of f (z) =0? Note: exp(z) = e^z

In: Advanced Math

What is the integral e^z/Z-1 dz where C is the circle|z| = 2?

What is the integral e^z/Z-1 dz where C is the circle|z| = 2?

In: Advanced Math

What are the coordinates of the image of the point ( – 3 , 6 ) after a dilation with a center of ( 0 , 0 ) and scale factor of 1 3 ?

What are the coordinates of the image of the point  (–3,6) after a dilation with a center of  (0,0) and scale factor of  1/3 ?

In: Advanced Math

what are methods used to measure ingredients and their units of measure

what are methods used to measure ingredients and their units of measure?

In: Advanced Math

Identify the average rate of change over the interval [-2,-1]

Identify the average rate of change over the interval [-2,-1]

In: Advanced Math

The big jar of nickels and dimes contained $45. If 700 coins were in the jar, how many of each kind were there?

The big jar of nickels and dimes contained $45. If 700 coins were in the jar, how many of each kind were there?

In: Advanced Math

solve tan^2 x =1 where x is more than or equal to 0 but x is less than or equal to pi

solev tan^2 x =1 where x is more than or equal to 0 but x is less than or equal to pi

In: Advanced Math

In triangle PQR right-angled at Q , PQ = 3 cm and PR = 6 cm. Determine ∠QPR

In triangle PQR right-angled at Q , PQ = 3 cm and PR = 6 cm. Determine ∠QPR

In: Advanced Math

Two concentric circles are of radii 5 cm and 3 cm. Determine the length of the chord of the larger circle which touches the smaller circle.

Two concentric circles are of radii 5 cm and 3 cm. Determine the length of the chord of the larger circle which touches the smaller circle.

In: Advanced Math

Sum of the areas of two squares is 468 m2. If the difference of their perimeters is 24 m, determine the sides of the two squares.

Sum of the areas of two squares is 468 m2. If the difference of their perimeters is 24 m, determine the sides of the two squares.

In: Advanced Math

Find the coordinates of the orthocenter of the triangle whose vertices are A(3, 1), B(0, 4) and C(-3, 1).

Find the coordinates of the orthocenter of the triangle whose vertices are A(3, 1), B(0, 4) and C(-3, 1).

In: Advanced Math

Differential equation

Find y(0.5) for y′=-2x-y, x0=0,y0=-1, with step length 0.1 using Euler method (1st order derivative)

In: Advanced Math

Poducts z1 and z2 as a z1=5+3i and z2=4-2i, write the following in the form a+bi

Poducts  z1 and z2 as a z1=5+3i and z2=4-2i, write the following in the form a+bi

In: Advanced Math

Rank of a Matrix Using the Echelon Form.

Find the Rank of a Matrix Using the Echelon Form of the above matrix.Give details step by step.

In: Advanced Math

Jordan Canonical Form

Let \( B_1 = \left\{(2,1,1,1),(1,1,1,1),(1,1,2,1)\right\} \hspace{2mm} \)and \( \hspace{2mm}B_2 =\left\{(2,1,2,2)\right\}\hspace{2mm} \)be two subsets of\( \hspace{2mm} \mathbb{R}^4, E_1 \) be a subspace spanned by\( B_1, E_2 \)be a subspace spanned by \( B_2 \), and L be a linear operator on \( \mathbb{R}^4 \) defined by

\( L(v)=(-w +4x-y+z,-w+3x,-w+2x+y,-w+2x+z)\hspace{2mm},v=(w,x,y,z) \)

(a) Show that \( B_1 \) is a basis for \( E_1 \) and \( B_2 \) is a basis for \( E_2 \)

(b) Show that \( E_1 \) and \( E_2 \) are L-invariant. Find the matrices \( A_{1} =[L_{E_1}]_{B_1} \) and \( A_2=[L_{E_2}]_{B_2} \)

 

In: Advanced Math