Fill in the table below to identify the Real Zeros of the function, their multiplicity and if the graph crosses or touches the x axis as that zero. You may or may not need the entire table. 4. Real ZeroMultiplicity Cross OR Touch Note: The Cross OR Touch columnis NOT a "ves" or "no" column. You must answer with either "Cross" or "Touch" in that column. Graph the function using the information from steps 1 -4 and your graphing utility. Label at least three points on the graph. 5. 10 -8 6 2 10-8 6 -4 -2 2468 10 -2 -6 -10 Determine the domain and range of the polynomial function f(x). Use proper set or interval notation. 6. Answer for 6. Domain: Range:

Q: 2 (b) ₁² ( + 6x) dx X

A: ∫xndx=xn+1n+1+c∫14(2x+6x)dx=2∫141xdx+6∫14xdx

Q: AIDS Deaths Let flx) = 2375x² + 5134x + 5020 estimate the number of U.S. AlIDS deaths x years after…

A: It is observed that this is an equation of the form ax2+bx+c=0. Hence the solutions for this…

Q: how did you get the "x^2+x+1"?

A:

Q: ∫x2(x3-1)11dx

A: Given, ∫x2(x3-1)11dx We can solve it by substitution method

Q: Solve for X: 3(x-5) - 5(x-3)= x+3 - (x-2)

A:

Q: Find f(8) when fix) = 2.5(x-78) 7.8

A: Given function isf(x) = 2.5(x - 7.8)f(8) =?

Q: Evalvate 5x-12 X (x²+4) dx

A:

Q: find ų l09, (x+1) - lo9, (x-1) = 1

A: The solution of equation is given below

Q: Simplify: 512 + 5-3

A:

Q: 2sqrt(x-1)=16

A:

Q: 3+2_=

A: We solve this by basic algebraic property

Q: e population density D of the United States in people per square mile during year x from 1900 to…

A: Given query is to find the time when population density varies from 50 and 75 people / sq mile.

Q: Find the exect (-2)^t1

A:

Q: Find the end behavior, zeros, and multiplicity for the function - y = -x^2(x-3)^2

A:

Q: 50(x-1)=300

A: According to question, we have given a equation, 50(x-1)=300

Q: divide f(x) and d(x), and write a summary statement in polynomial form and fraction form:…

A:

Q: Simplify

A: Given:2x33x2x23PRODUCT RULEam.an=am+namn=amn

Q: (7x)x = 7(x * x) = 7x2

A: Given, (7x)x

Q: E y= (4x²-5)* (3x-2)

A:

Q: Simplify completely: (x7/2y1/2)3/2/x1/4y5/4

A:

Q: What (x-3)^2?

A:

Q: IT 5tan(3x) dx 12

A: Given ∫π12π95tan(3x) dx

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.