d. V9+ 2i e. 2 + In(2 + i)

Q: the

A:

Q: Discussion Prompt: Compare and contrast the dot product and the cross product. In your response…

A:

Q: In which quadrant does the sum of 2 + 3i and 3 – 5i lie? (1) I (2) II (3) III (4) IV

A: In the complex plane, for a complex number , where represents the real part and   represents the…

Q: (x – 2y)dx + (2x + y)dy = 0.

A:

Q: Use geometry to evaluate -2 (x-1) dx. You should draw a picture.

A:

Q: Evaluate (1 + i)(¹ - i). (1

A:

Q: What is the equation of the line carrying A (-1,2) B (3,4) and C (4,0) above the height of the side…

A: Explanation and Solution is given below....

Q: b. Draw the final image created by reflecting triangle RST in the x- axis and then rotating the…

A: Given : RST triangle is given on  graph.  Triangle points :  R(-4,-4) , S(-2,-3) , T(-3,-1)

Q: . Use linear algebra techniques to find the center and the radius of the circle a(x² + y²) + bx + cy…

A:

Q: Sketch the reflection of the triangle over the x-axis T 5 -10 -5 5 10

A:

Q: 4(3d+ 5d) - d(d² – 7d + 12)

A:

Q: (1, 5) A(-1,2) 1) What is the equation of O A? Center : Radius : Equation : 4. 3. 2.

A: Remember that the equation of circle is given by: (x - h)2 - (y - k)2 = r2 where (h , k) is the…

Q: What geometric interpretation does the dot product have? Give examples.

A: The geometrical interpretation of the dot product of u.v is the length of the projection of the…

Q: (2x³-3)(6x²)dx=?

A:

Q: Illustiate the reflection poinipal with the help of examples.

A: The principle of reflection is that when a ray of light is reflected from a smooth surface the angle…

Q: A contour integreal, using the following equation: 20x+ 2, a contour goes from (0,0), (5,0), (5,5),…

A: The given problem is to evaluate the given contour integral for the given equation 20x+2 where…

Q: Convert these equations to Cartesian coordinates: a) {- Si=r(1– r²)(9 – p²), ló = 1. : = r(1- r²)(4…

A:

Q: 2. Use geometry to evaluate (2 (2x+6)dx. You need to draw a graph.

A:

Q: Let Z1 -2V3 – 2i and z2 = -1 + iV3 • Z2 Find the product: z1 • Z2

A: To find the product of the given complex numbers.

Q: a. A trapezoid has been transformed on the coordinate plane as shown. Trapezoíd A Trapezoid B

A: Given that:

Q: What three-dimensional shape does the following equation describe? Sketch the shape 22 4 16

A: The Equation represents  an ellipsoid

Q: COLOR THEME Q ZOOM 6. Parallelogram ABCD was transformed to form parallelogram A'B'C'D'. 10 C C' B'…

A:

Q: Determine an equation equivalent to 2x-8x + 3 = 0 obtained by completing the square.

A: Given equation  2x2-8x+3=0 Add 8 to the given equation on both sides 2x2-8x+8+3=8

Q: Find the point on the line 2x + y = 5 that is closest to the point (-4, 3). (x, v) = (

A: We haveThe line 2x+y=5 closest to the point −4,3

Q: Plot the point in the rectangular coordinate systen 1<(-3,6)

A:

Q: The focus of the parabola y? + 8x = 0 has coordinates

A: Option (4) is true

Q: x² – 25 -de 2) Evaluate

A: