f(x)= -2sin(2x+90)-3 state the amplitude, Period, and Phase shift. after that sketch once cycle of the function. after that state what is the domain and rage of the function?

Q: Graph the functions

A: The vertical asymptote occurs if the denominator is 0 Since the degree of the denominator is more…

Q: Sketch the graph of the function. y = −ex−1

A:

Q: Separately graph the functions y = 3" and y = G*. In the fırst step, you must show a table of some…

A: Given: y=3xy=13x

Q: use the two given function to write y as a function of x.  y=2m-5, m=x+5 / 2

A: We have, y = 2m-5m = x+52 To determine: The expression of y as a function of x.

Q: Determine a function that will best match the following points: (1/2, 0), (2 ½, -2), (4 ½, 0), (7 ½,…

A: We find the Lagrange interpolating polynomial. We have: x x0=12 x1=212=52 x2=412=92 x3=712=152…

Q: Find an equation to model the vertical motion of the tip of a second hand on a clock, if the second…

A:

Q: NASA launches a rocket at �=0 seconds. Suppose its height, in meters above sea-level, as a function…

A: The objective of the question is to find the maximum height reached by the rocket. This can be found…

Q: y=2tan(pi/2)x  y=3csc(x+(pi/2))    graph 2-3 cycles of each function using complete…

A: given: y=2tanπ2x we have to graph 2-3 cycles of the function. as we know that if we have a function…

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.