evaluate and simplify into cartesian form (2+j3) / (5-j4)

Q: Determine the equation of a quartic function that has zeros of-7,5, and point (2, 9).

A: Quartic function is a function of the form f(x) = ax4  + bx3  + cx2  + dx , where a is non zero,…

Q: Compute: (i 2-1)2i /2 +3)

A:

Q: Express (-1,2,4) as linear combination of x = (-1,2,0), y = (0,-1,1) and z = (3,-4,2) in the vector…

A: Definition used -                       If we have to write a vector as a linear combination of…

Q: What is meant by scalar multiple?

A: Let V be a vector space over the field ℝ. Take u,v ∈V.

Q: derive X3  - 2x/ex

A: To find the derivative of x³-(2x/ex)

Q: (2)に z8-92-3 %3D

A: We reduce the equation.

Q: Assume that y represents a positive real number. What is the conjugate of Vy - 24?

A: y-24

Q: Express (j-3)" in rectangular form.

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Find the equation of the plane that passes through (9, 13, 4) and is parallel to x + y + z = 3.…

A: Here we have to find equation of plane passing through a point (9,13,4) and is parallel to x+y+z=3…

Q: Exampi r(x) = (/2x + 1 - x²)-1 %3D "(x) =

A: Given query is to find the derivative of the expression.

Q: Express in terms of i. V- 54 -54 %3D (Simplify your arswer. Type your answer in the form a + bi.)

A: Given : -54

Q: 2ea

A:

Q: What meaning can be attached to this cross product: x-7 ?

A:

Q: b) Use De Moivre's theorem to evaluate Express the answer in rectangular form. -

A:

Q: compute the dot product. (3, −2, 2) · (1, 0, 1)

A: The dot product of three dimensional vectors can be calculated by using the component formula for…

Q: I couldn’t find the Y value. Number 11

A: Given system of non-linear equations are:To solve the system using elimination, the equations are…

Q: Find the distance between the pair of points(2√3, √6) and (-√3, 5√6). Ifnecessary, express answers…

A: we know that distance d between given two given points x1,y1, x2,y2 is given by d=x2-x12+y2-y12

Q: sec = {- %3D

A: To find:     sec=?

Q: Express the following in Cartesian form

A: As,  cos 300o= 12 and sin 300o= -32. Now, put the values and simplify.

Q: Write a V ation of the line below. 8- 6- 2- -8-7 -6 -54 3-21 2345 6 -2- 4. -5. -6- CO

A: Given the graph of line:

Q: Describe the bifurcation that occurs when A = -1.

A: The bifurcation that occurs when λ=-1 is described as shown below

Q: The distance from the point (-1, -2, 3) to the line x = 1 + 2t, y = 2 - t, z = 3 - 2tis [a] (input…

A:

Q: What is the resulting diagonalized

A: A quadratic form may be diagonalized by the following procedure: Find a variable x such that x2…

Q: Prove analytically that the sum of the squares of the four sides of a parallelogram is equal to the…

A: Apollonius's theorem   for triangle ABC with M being the midpoint of BC, the following equation…

Q: 1. Write the equation to a quartic with roots -4, -2, 6, 9 and that goes through the point (8, -20).

A:

Q: 3. the dot product of -

A:

Q: Express point P- 3,- into Cartesian coordinates with an aid of a suitable diagram.

A:

Q: What is the difference between the minor of an element aij and the cofactor of the element?

A:

Q: How to get rid of a radical

A: A radical is a term with one by nth power of the variable. The radical sign is as shown on the white…

Q: 4. Express (-23+ j2) in rectangular form.

A: Let's find.

Q: Find the area of a parallelogram in 3-space when the adjacent sides are A` =2i`+4j`-3k` and B`=…

A: area of a parallelogram in 3-space when the adjacent sides are A` =2i`+4j`-3k` and B`= i`-2k`

Q: Calculate (3+j6)19 in rectangular format. Please show all your steps.

A: By using De moivres theorem the answer is given as follows :

Q: Find the dot product of u = u=(-4,-9) and v=(3,-2)

A: Given: u=(-4,-9)v=(3,-2)

Q: find a quadratic polynomials whose zeores are  (i) 3,4 (ii) 2,1

A: So here we are going to use the formula for quadratic equation when zeroes are given. So I'm…

Q: Compute the order of each element in the Quaternions, Q8. Show your work.

A:

Q: Compute the orthogonal projection of u'onto v. Use the square root symbol 'v' where needed to give…

A: Given vectors are u→=−64−6 and v→=−23−2. We have to find the projv→u→. We know that…

Q: Express in the form a+ bi. -21

A: Our Aim is to express 51+2i-(i) in the form a+bi

Q: 9. The triple scalar product is given by (u x v) w = E,",V,W Expand this equation X V and simplify,…

A: Let u=(u1 , u2 , u3 ) and v=(v1 , v2 , v3 ) and solve it.

Q: If A non singular 3x3 matricies and p is non-zero scalar. What is the correct expression?

A: This question can be answered under an assumption that a = pA

Q: 1- -3 -1 2. 4 -1- X-аxis -2 -3- O 2 O 0.5 O -2 -0.5 y-axis 20

A: slope = (y2 - y1)/(x2 -x1)

Q: What meaning can be attached to this cross product: ;x-7?

A:

Q: Use Elimiretion Methal 3x =38-4y 9x= 122-13y %3D %3D |

A:

Q: What is the zero-product principle?

A: Zero product principle states that if ab=0  then a=0 or b=0 We apply zero product principle while…

Q: 17. x² + y 24x+4y-85 %3D Standard Form:

A: Topic : circle As per our guidelines we are supposed to answer only one question. Kindly repost…

Q: Find the equation of the plane that passes through (2, 8, 2) and is parallel to x + y + z = 3.…

A:

Q: show that the lines メ-2 = 3-2 モ-3 and %3D 9-3 X-2 = intersect. %3D 2 th

A: Here we will show that given lines are intersecting,

Q: What is meant by orthogonal?

A: Orthogonality is a property synonymous with perpendicularity.

Q: Explain how to add vectors.

A: vector:  a quantity which has magnitude along with direction is a vector. vector addition:…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.