Percentage of College Graduates, Among People Rectanul Ages 25 and Older, in the United States 36% 32.0 32% 29.9 28% 25.6 24% 21.3 20% 17.0 16% 12% 11.0 7.7 8% 6.0 4% 1950 1960 1970 1980 1990 2000 2010 2014 Year Percentage Who Were College Graduates

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2, (0, 8)…

A: It is given that, fx=x2, 0,8. Any point on the given curve will be in the form x,y=x,x2. Distance…

Q: Using U.S. Census Bureau projections from 2020 to 2060, the number of U.S. females under the age of…

A: Answer

Q: Analyze the graph of the function. Зх- 12 H(x) = 16 -x

A:

Q: After declining between 1940 and 1980, the number of households has been increasing since 1980. Use…

A:

Q: A company estimates the profit for selling a certain commodity by the given function, P(x) = -x2…

A: We will find out the required value.

Q: What is the effect on the graph of the function f(x)= √1/2x when f(x) is replaced with f(x)+2,A,B,C,…

A: Substitute f(x)+2 in place of f(x).

Q: The math club is experiencing a growth in membership. On average, they are seeing a growth of 3%…

A:

Q: The number of Instagram monthly active users (in millions) between 2013 and 2015 can be modeled…

A: The number of instagram monthly active users between 2013 and 2015 be the…

Q: What is the value of f(-1) in the graph below ?

A:

Q: A team of researchers finds that there is a relationship between the overall health of a forest…

A: Given function: fx=13x3+676x5+39 where, x is in tens of thousand of beetles. f(x) is thousands of…

Q: What is the constant function?

A:

Q: The percentage of gross domestic product​ (GDP) in a state going toward health care from 2007…

A: Given, the modelled function f(x) = 1.3lnx + 14.7, where f(x) is the percentage of gross domestic…

Q: In the piecewise function in the picture, what does y equal when x=3?

A:

Q: Describe the end behavior of the graph of the function f(x)=5(4)x−4.

A: The given function is fx=54x-4=20x-4. It is a linear function which is part from the family of…

Q: Graph the function: f(x)= √-x

A: To graph the function, fx=-x

Q: Find the relative extrema of the function. f(x) = 100xe2x

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Q: How many x-intercepts can the graph of a function have? How many y-intercepts can the graph of a…

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Q: The number of carbon atoms in a fossil is modeled by the function, C(z) = 5100 (0.93), where, x,…

A: SOLUTION-

Q: Suppose that Px represents the percentage of income spent on health care in year xand represents…

A: Given, P(x) represents the percentage of income spent on health in year x. I(x) represents income in…

Q: Compare the graphs of the two functions f(x) = 2* and g(x)/ Determine the equation of (x). 15. g(x)…

A: Given,           The graph of fx and gx are shown below :            fx=2x

Q: Graph the function. f(x) = 3*

A:

Q: A 8-inch sunflower is planted in a garden and the height of the sunflower increases exponentially.…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: The total number of fans who went to watch professional football games from 2005 to 2011 can be…

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Q: The number of concurrent users of a social networking site has increased dramatically since 2001. By…

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Q: Find where function is increasing and decreasing. And graph the function.   f(x)= x4-33x2+90x+216

A: To determine the intervals on which f(x) is increasing or decreaing

Q: Differentiate the function. 5 6 G(x) = x° + 6x G'(x) =O

A: We have to differentiate the given function: Gx=x6+6x5 Rewriting the given function,…

Q: Is a constant function even or odd?

A:

Q: A store owner estimates that by charging x dollars each for a certain lamp, he can sell 40 – x lamps…

A: Given  number of lamps sell each week by charging x dollars each = 40-x

Q: After declining between 1940 and 1980, the number of households has been increasing since 1980. Use…

A:

Q: Find the points on the graph of the function that are closest to the given point f(x) = x2 – 7, (0,…

A: Consider the provided function, fx=x2-7,   0,-5 The distance formula is D=x2-x12-y2-y12 . We can…

Q: The average price for a movie ticket in Detroit, Michigan was $8 in 2010, and it increases at 7% per…

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Q: Find the point on the graph of the function that is closest to the given point: f(x) = x² , (2,5)…

A:

Q: Find the slope of the graph of the function at the given value. f(x)= 2x² + 4 when x = 5

A: Slope of graph of function at given point is first derivative of function at that point.

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x² – 9, 6.…

A:

Q: How can I tell if a graph is the function of x?

A: HOW TO: GIVEN A GRAPH, USE THE VERTICAL LINE TEST TO DETERMINE IF THE GRAPH REPRESENTS A FUNCTION OF…

Q: What is the effect on the graph of f(x)= x when g(x)= + 4?

A: when you add +4 in function  e.g f(x)=x g(x)=f(x+4)=x+4

Q: Find the points on the graph of the function that are closest to the given point. f(x) %3 х2 - 5,…

A:

Q: Find the relative extreme values of the function f(x) = - - 6x + 5.

A: Calculate f'(x) and f''(x) for f(x)=x33-x22-6x+5 as follows.…

Q: Differentiate the function. 35 G(x) = Vx° - 2x G'(x) =

A: Answer

Q: Explain why the function has a zero in the given interval?

A:

Q: The cost of a new television is $948. If the value of the television decreases by 4.5% every year,…

A: The exponential decay function is given by y=a1-r100t where a = initial value r = rate of decay t =…

Q: A paper airplane was thrown from the top of a 9 meter tall house and falls at a rate of 3 meters…

A: Given  The height of the paper airplane above the ground can be found using  the function  y  =…

Q: Determine the equation of the function below. (0.2, 4.2) |(1.9, 4.2) |(0, 3.6) 3 | (1.05, –0.4)

A: The general equation of a cosine function is given by; y(x)=a cos(b(x-c))+d where a is the…

Q: What are the Increasing and Decreasing Functions?

A: We have to define the increasing and decreasing functions. We determine increasing and decreasing…

Q: The number of concurrent users of a social networking site has increased dramatically since 2001. By…

A: The given question has been solved in detail

Q: Analyze the graph of the function. 4x - 12 H(x) = 9-x2

A: Calculation:

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2 - 8, (0,…

A:

Q: We opened this section with a study showing that late in the semester, procrastinating students…

A: Given;

Q: Determine where the given function is increasing and where it is decreasing  45x3  -3x5

A: A function is increasing if f'(x) > 0 and decreasing if f'(x) < 0.

Q: In the year 2016, the total number of metric tons of copper produced in the world was 495,000. Each…

A: Solution

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.