All graphs should be drawn accurately on amiks a cup of coffe every morning at 7:00 am The amount of cafleine (in mg) in her body as a result of drinking this coffee is given by the function A(t) = 130 where t is time in hours since am. What is an appropriate domain for this function? Sketch an accurate graph of this function in an appropriate window, labeling axes and scale. what is the y-intercept of this function? What does ns representr? After how many hours will there be half of the orieinal amount of caffeine left in het body, assuming she doesn't ingest any more during the day?

Q: I cannot visualize this question. Could you please draw a graph and label all the critical points…

A: Given: First water level rose faster and faster, then rose more but slowly until it reaches its…

Q: f(x) =x²(3 – 3x)³ 2(3-3x

A: This is the problem of the application of differential Calculus.

Q: Think of things you own or things you might buy. The graphs show the value of an object as a…

A: Given :  We have  given that  different scatter diagram . that  shows relationship between X and Y…

Q: 59. Which of the curves in Figure 26 is the graph of a function? (A) (B) X- (D) FIGURE 26

A:

Q: Write the equation for the function described.           F(x)=e^x is vertically stretched by a…

A:

Q: 10. A ball is thrown upward from the roof of a 25 m building. The ball reaches a A height of 45 m…

A:

Q: Consider the following function. g(x) = 3 Step 2 of 2: Find the length of the individual line…

A: Given the function                       qx=3x4.

Q: For question numbers 1 2, consider the graph below Which ordered pair describes a point that could…

A: Given  By graph

Q: Using Desmos, graph the equation y - + 6z. Then give the following descriptions. %3D Domain (in set…

A: Given        y=-x2+6x

Q: Sketch the graph of the functi y= (]x-1|)/(x-1)?

A:

Q: O Question 5 Julian is using the ordered pair (5, 2) in an explanation of why the ordered pairs…

A: This question is based on function.

Q: The amount of energy needed to increase the radius of orbit of a 500-kg satellite from its original…

A: 1. Given that, the function is E=2×1010r-10,000r. Sketch the graph of the function as shown below,

Q: Help me please Do one graph

A: (a) y=14(3x)+2

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.