Lines are used to create shape, pattern, texture, space, movement and optical illusion in design. The use of lines allows artist to demonstrate delicacy or force. Curves may take us slowly uphill, or turn sharply twisting our mind as they turn. a line can express various moods and feelings.

## What is the function of line in art?

Lines are used to create shape, pattern, texture, space, movement and optical illusion in design. The use of lines allows artist to demonstrate delicacy or force. Curves may take us slowly uphill, or turn sharply twisting our mind as they turn. a line can express various moods and feelings.

## How do you find the standard form of a circle?

The standard form of a circle’s equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius. To convert an equation to standard form, you can always complete the square separately in x and y.

## Which of these functions represents a straight line?

Linear functions are those whose graph is a straight line. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. a is the constant term or the y intercept.

## Why is circle not a function?

If you are looking at a function that describes a set of points in Cartesian space by mapping each x-coordinate to a y-coordinate, then a circle cannot be described by a function because it fails what is known in High School as the vertical line test. A function, by definition, has a unique output for every input.

## Is Complex Analysis hard?

Complex analysis may be difficult in that you are on a plane. I took complex analysis without having taken real analysis and did fairly well (I find real analysis to be harder). The course piggybacked on undergraduate calculus as a natural extension Thinking back to multivariable and vector calculus helped me a lot.

## What is meant by complex analysis?

Complex analysis is the study of complex numbers together with their derivatives, manipulation, and other properties. Complex analysis is an extremely powerful tool with an unexpectedly large number of practical applications to the solution of physical problems.

## Why do we need complex numbers?

If the formula provides a negative in the square root, complex numbers can be used to simplify the zero. Complex numbers are used in electronics and electromagnetism. A single complex number puts together two real quantities, making the numbers easier to work with.

## Why the vertical line test determines if a graph is a function?

The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

## How do you translate a circle on a graph?

Center away from the origin

1. Locate the center of the circle from the equation (h, v). Place the center of the circle at (3, –1).
2. Calculate the radius by solving for r.
3. Plot the radius points on the coordinate plane.
4. Connect the dots to the graph of the circle with a round, smooth curve.

## Where are complex numbers used in the real world?

Imaginary numbers, also called complex numbers, are used in real-life applications, such as electricity, as well as quadratic equations.

## WHAT IS function and its types?

1. Injective (One-to-One) Functions: A function in which one element of Domain Set is connected to one element of Co-Domain Set. 2. Surjective (Onto) Functions: A function in which every element of Co-Domain Set has one pre-image.

## How do you explain complex numbers?

Complex numbers are the sum of a real and an imaginary number, represented as a + bi. Using the complex plane, we can plot complex numbers similar to how we plot a coordinate on the Cartesian plane.