3: The complex number z satisfies the equation 42-32=- 1-18i 2-1 Where z denotes the complex conjugate of z. Solve the equation, giving the answer in the form x + iy, where x and y are real numbers.

Q: 4. Determine which of the following systems has the highest magnitude of torque using cross product…

A: Solution; For first case : as the force is passing through the center of the circle , the torque…

Q: If R is the rotation matrix, then RRT is a

A: The inverse of a rotation matrix is its transpose, which is also a rotation matrix: The product of…

Q: 3- Two vectors A-i+2j-k written and lying in the xy-plane, the A.B can be A: 12 В: 10 C: 6 D. 0

A:

Q: Which are the Matrices of a vector?

A: When a matrix is having either one row or either one column then it is defined as vector.

Q: a. Determine the position vector from point A to origin (r AO), express as a cartesian vector. b.…

A: rAO = 0 i +aj +0 k = 0 i + 4.5 j + 0 k

Q: Draw the kinematic Diagram and determine the degree of freedom of the following machines inside the…

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Q: DOF: L= J₁= J₂=

A:

Q: Find the determinant of the matrix by reducing the matrix to a triangular form. 1 3 14 9 1 15 D = -2…

A: given; D=1314391152-211-3423

Q: 1 Simplify (129 + 121 + i) (12021)

A: Complex Number Note: Student has posted three different question  and we are bond to answer one…

Q: Find the solution to the equation 2x'y' = y(y + 3x) using the method for Bernoulli's Equation. %3D

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Q: 10x + 6y + 5z = -7 10x + (16 – k)y +4z = -5 10x + 6y + (9 - k)z = k+ -5

A:

Q: P = xi + yj +zk Q = x²i -z²k R = xy?j – yzk

A: Given P→=xi^+yj^+zk^Q→=x2i^+0j^-z2k^R→=0i^+xy2j^-yzk^

Q: Find A' by using cofactor method if 1 0 3] A = -4 2 5 and |4 =-6. 0 0 %3D 1

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Q: Solve for the inverse of the given matrix by definition A*A-1 = A-1*A = | 1 7 -5 |A| = |-2 -3 4 8 9.

A:

Q: Use De Moivre's theorem to (i) express (2 + 2i)5 in polar form. (ii) find all cube roots of (V3 + i)…

A: (i) Write (2 + 2i)5 in the polar form,

Q: QUESTION 5 Tit x- Use parametrio differentiat ron aud find au expression fr oly m its Simplest form

A:

Q: 4. For the mechanism in the next figure, OA = r , OB = d and the angle between BO and OA is . a)…

A: To solve this problem, we need to apply the cosine law of triable to determine the length of AB.…

Q: e cofactor of the el

A: To find  Cofactor of element zero

Q: The vertices of a wedge are given in the matrix show below. Rotate the wedge 30 CCW around the…

A:

Q: From the below given simultaneous equations for v1 and V2. Find V1 and V2 by performing the required…

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Q: In the figure, r is directed along line AB. Given the position of points A and B, 4 m 2 m -4 m Im

A: As per bartleby expert guidelines we are supposed to answer only the first three parts of a given…

Q: Suppose a curve is defined by the equation 16(x² + y²) = 45. Show that if you translate the curve to…

A: Applying the concept of shifting of graph... X changes to x-3/4 And y changes to y+3/2 Hence the new…

Q: Vrite down the absolute and incremental X and Y coordinates of the points shown in below figure A+Y…

A:

Q: iven A and b to the​ right, write the augmented matrix for the linear system that corresponds to the…

A: GivenAx=bA=13-3-3-22522b=-714-6

Q: 1. Perform the indicated multiplication:(D+2)(D^2-2d+5 2. Find the factors: D^4+D^3-2D^2+4D-24

A:

Q: 2) Given p = [1, 2, -1], q= [4, -5, 7] find (a) p q (b) ||p-all (c) The projection of q onto p

A: Given question is related to vectors. Given vectors: p =  1,  2, -1                  q = [ 4, -5,  7…

Q: Find the magnitude of A, if A = { 2 , 3, 4}

A: Given Data⇒ A = { 2 , 3, 4}

Q: In the Figure 2, the resultant R can be found as:

A: Given data : Force=P Force=Q Angle between force=β=90∘   Finding : Resultant

Q: Radius 1, 2, 3, 4 = 0.18 m. (Same radius) Angle between 2 & 3 = 03 Angle between 2 & 4 = 04 Angle…

A: find the unknowns ( ma,-y,x).

Q: In the figure, we apply a transformation matrix to box B A to obtain box B. (a) Derive the 3 x 3…

A:

Q: n the cartesian plane , we have 40 units for vertical forces and 50 units for horizontal forces.what…

A: Given Data : 40 units for vertical forces 50 units for horizontal forces

Q: Refer to the figure below, Find the Number of centros.

A: Write the number of links in the above given mechanism. N=6

Q: 4 cos x Find f'(x) if f(x) = 4+sin x

A: The differention problem can be sloved by using the (u/v) rule of differentiation. differentiation…

Q: -1 -2 A = 4 3. B = 2 1 Use the following matrices in questions 1 and 2: 5 -6 A + 5I 1. Evaluate 4

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Q: 3 2i (i – 1) + (V3 – 1)° + (1+ i) (1 – ) - |

A:

Q: Solve the following Bernoulli's equations: dy +y = y³ (x – 1) dx dy +y tanx = y³ sec* x %3D dx

A:

Q: a) (4+ja)(6-j8). (3切)-22ガ3) -12ガ3)

A: This concept is applicable in many mechanical control system devices in finding root locus

Q: Determine the rotation matrix rotation of 45° about X axis rotation of 45° about Y axis, rotation of…

A: Given Data : Rotation matrix α=450β=450γ=900

Q: Power is a vector quantity

A: This question is from classical mechanics.

Q: In the Figure 1, the summation of A + B + C is: * Figure 1: R P B A O 170° O 180° O 190° 200°

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Q: Express the following in complex exponential form: x[cos(yº) + jsin(yº)] Where x = 7 and y = 109.…

A: