The water from an outdoor fountain follows a path that is shaped like a parabola. The arch created by the water is 36 inches wide and 29 inches high. (Refer to image for the arch graph) An engineer suggests this function to model it:  F(x)=x(36−x) What scale factor should be used to make her function fit the graph? Answers (The potential answers are the second image, which you must choose one as your answer)

Q: Sketch the graph of the following functions. State the domain and range. y = 2√√x+3

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Q: 3. Sketch the graph of the reciprocal function. Find its intercepts.

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Q: During his weather report after the last snowstorm, a Baltimore meteorologist reported the low…

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Q: A flare is lauched from a boat and travels in a parabolic path until reaching the water. Write and…

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Q: Graph the following function: f(x) = Vx- 2

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Q: 2. Use one-graphing paper to sketch the graph of the following functions below on separate Cartesian…

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Q: In the newspaper delivery department, the number of subscribers is x, the number of delivery…

A: (a) to find the number of supervisors needed s=p15as a function of x, the number of subscribers, we…

Q: Sketch the graph of y = f(x). е.

A: The graph of y=f(x) will be

Q: 2. Diana Nyad was the first person to swim from Cuba to the Florida Straits without a shark cage, a…

A: Given: Diana Nyad completed a 110-mile journey. a. As she took 1.9 miles per hour to complete this…

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

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Q: 32x2+

A: Given: 32x2+6x

Q: . Explain how you know this is NOT the graph the reciprocal function of y = (x+3)*. 6

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Q: Write the equation for the function graphed below. f (x) = 因助

A: As per the graph Vertex is at (-1, 2)

Q: ACTIVITY #3 Given f(x)= -x^2 + 6x - 5 a. Create a table of values showing 3 symmetrical points. b.…

A: Solution is given below:

Q: During Ricardo noticed an ink stain with a diameter of about 3 cm on the front of his teacher’s…

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Q: 3. A local towing company charges $5.50 for each mile plus a reservation fee of $12. They tow a…

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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.