The number of Instagram monthly active users (in millions) between 2013 and 2015 can be modeled approximately by the function I(x) = 0.0055x³ – 0.06x2 + 7.64x + 90, where x represents the number of months since January 1, 2013. How many monthly active users does this model estimate there were on September 1, 2013 (8 months after January 1, 2013)? Round to the nearest million.

Q: What point on the function, y = 3x2 is the closest to (0, 1)?

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Q: The height of a projectile fired vertically into the air (neglecting air resistance) at an initial…

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Q: Which function has x-intercepts at −2π, −π, 0, π, 2π?

A: Given-  The function has its x- intercepts at -2pi, -pi, 0 , pi, 2pi

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A:

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Q: Arman traveled a distance of 6x2-13x-5 kilometers at a rate of 3x+1 kph.Determine a function that…

A: Let's find.

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

A: SOLUTION-

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A:

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A:

Q: How can the functions be multiplied by constants?

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Q: Find the points of intersection of the graphs of the functions y = x2 + 1 and y = 4x

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Q: The price per barrel (in dollars) for NYMEX-traded crude oil futures can be approximated by the…

A: We have to find the future prices of crude oil for the third quarter of 2017.

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

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A:

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Q: A cigar manufacturer produces x cases of cigars per day at a daily cost of 50x(x + 200)>(x + 100)…

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Q: The number of concurrent users of a social networking site has increased dramatically since 2002. By…

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Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

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Q: 8. If the quadratic parent function is reflected in the y-axis and vertically compressed by a factor…

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Q: After declining between 1940 and 1980, the number of multigenerational American households has been…

A: Given, Function,h(x)=0.012 x2-0.583 x+35.727 To find: Year in which there were 40 million…

Q: For the years from 2002 and projected to 2024, the national health care expenditures H, in billions…

A: H=1,500e^0.053t

Q: The total expenditures (in millions) of current dollars for pollution abatement and control during…

A: Here we find the total expenditure.

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Q: On the basis of data for the years 1911 through 1991, the expected life span of people in a country…

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Q: Life expectancy at age 65:  By using the Social Security Administration data for selected year from…

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

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Q: Differentiate the function y=sec(3x)+5-2

A:

Q: In March 2020, the PH coronavirus cases recorded was 2 089. By month of August 2020, the number of…

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A:

Q: On the basis of data for the years 1911 through 1994, the expected life span of people in a country…

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

A: Given;

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A:

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Q: Classify the function as a linear, quadratic, or exponential. f(x) = 8x-7

A:

Q: A company’s sales, in millions of peso, of electrical appliances can be modelled by S(x) = -1.3x3 +…

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Q: Write the equation of a cubic function, f(x), with zeros at -5, 0, and 2, and end behavior f(x)→ ∞…

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Q: Solve no 73

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Q: 1 f(x)3= 8x

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Q: a 2012 article in the Los Angeles times reported that the number of weekly visits to Pinterests web…

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Q: Suppose a gift basket maker incurs costs for a basket according to C(x)=18x+220. If the baskets are…

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Q: The height of a ball after being dropped from a point 64 feet above the ground is given by h=…

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A:

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.