he weight, in pounds, of a baby in the first six months of life can be modeled by the function f(x)=1.5x+7, where x is the age of the baby in months. According to this model, what is the weight, in pounds, of a baby at age 3 months?

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

A: The height of projectile f(x) in feet is given by f(x)=96x-16x2, where x is time in seconds. The…

Q: Differentiate the function. f(x) = x3 - 4x + 6

A:

Q: Write the equation of a line tangent to the graph of f(x) = -2x³ + 5æ3 – 5x — — —1 3 at the point x…

A:

Q: Differentiate the function f(x) − x3 - 4x + 6

A:

Q: Find where function is increasing and decreasing, and graph the function. f(x)= x4-10x3-33x2+90x+216

A: The given function is

Q: Social psychologists have found that as the discrepancy between the views of a speaker and those of…

A:

Q: Do f(x) = 2x2 - 1 and h(t) = 2t2 - 1 represent the same function? why or why not

A: The two given functions are

Q: If f(x)=(3m-2)x+6 is a constant function m =?

A: For the constant function the coefficient of x should be zero.

Q: A large pharmaceutical company uses the function f(x)=1.454x-2917 to model the amount of money, in…

A: Substitute 2013 in place of x

Q: The amount of foreign earnings​ (in trillions of​ dollars) kept overseas can be approximated by the…

A:

Q: The amount of money (in billions of​ dollars) lent to customers with credit scores below 620 for…

A:

Q: Is f(x) = 2x3 - 5 a one-to-one function?

A: A function f(x) is said to one one if, fx1=fx2⇒x1=x2

Q: When f-1(x)=(4x-3)/(x-2), what is f(f-1(x))?

A: Given inverse of the function is

Q: What is the domain and range of the piecewise function, and what are the x-intercepts and…

A:

Q: The amount of foreign earnings​ (in trillions of​ dollars) kept overseas can be approximated by the…

A: we have been given the function for the number of foreign earnings kept overseas  f(x)=0.232(1.18)x…

Q: differentiate the function f(x) = x^2(2x+3)^5

A: The given function is f(x) = x^2(2x+3)^5

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

A: Given that, The total number of fans who went to watch professional football games can be modeled by…

Q: The number of ATV-related deaths for people of all ages from 1999 to 2009 can be modeled by the…

A: Given the number of ATV-related deaths for people of all ages from 19999 to 2009 can be modeled by…

Q: Is f(x)=x2 - 11 is an example of a non-linear one to one function? Find its Domain and Range if it…

A: f(x) = x2  - 11 It is quadratic function.

Q: what is the end behaviour of function f(x)= 2x^2 -3x^5 -8

A: The following table gives the end behavior of any function by knowing its degree and Leading…

Q: Differentiate the function. f(x)  =x3 -4x +6

A: To Determine: differentiate the function  Given: we have a function f(x)=x3-4x+6 Explanation:…

Q: Determine where the function is convace upward   f(x)=-5x2-8x+5

A: A function is concave upward when it's second derivative is greater than zero. If the second…

Q: The height of a right triangle is 44 feet more than three times the length of its base. Express the…

A:

Q: Is f(x)=4x-3 a one-to-one function?

A: That's easy. Have a good day!!!

Q: The owner of a store estimates that his costs, in thousands of dollars, can be modelled by the…

A:

Q: hat is the slope of the function f(x) =6x3 -7x +4 when x=1?

A: The function is given as f(x) =6x3 -7x +4

Q: What is the domain of the function f(x) = √(x3 - 3x2)?

A: Given function, fx=x3-3x2 To find domain of the function: The domain of the function is the set of…

Q: The path of a ball is modeled by the function f(x)=-1/20 x^2+3x+5, where f(x) is the height (in…

A: The path of a ball is modeled by the function f(x)=-1/20 x^2+3x+5, where f(x) is the height (in…

Q: Differentiate the given function. 7x-2+-

A: Here we apply product rule of differentiation (UV)' = U(V') +(U')V

Q: Social psychologists have found that as the discrepancy between the views of a speaker and those of…

A:

Q: Differentiate the function and simplify. f (x)= 42x-4x+1

A: We have to differentiate the function: fx=42x3-4x+1 In such cases we need to use logarithmic…

Q: would it make sense for a function to pass through (0,100)? Why?

A: Topic:- function and geometry

Q: f(x)=x3 - 2 is an example of a non-linear one to one function? Find its Domain and Range if it…

A:

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

A:

Q: Differentiate the function. f(x) = x - 6x + 3

A: Given: fx=x5-6x+3

Q: What is the domain of the function f(x) = √[(x-1)/(x+4)]?

A: fx=x-1x+4

Q: What is the domain of the function f(x) = √[(x-2)/(x+4)]?

A: Given :                      f(x) = x-2x+4    To find :                     The domain of the…

Q: Suppose the weekly cost for the production and sale of bicycles is C(x) = 16x +4149 dollars and that…

A: Use formula

Q: The total yield of corn on Mr. Geller's farm from 1991 to 2010 can be modeled by the function f(x)…

A:

Q: Differentiate the function. 4 F(x) 5

A: Given F(x)=45x10⇒ddx(45x10)⇒45*ddx(x10)We know that ddx(xn)=nxn-1

Q: the height of a ball Doreen tossed into the air can be modeled by the function h(x) =…

A:

Q: The function, f(x)=1.8x+32f(x)=1.8x+32, is used to convert temperature in Celsius temperature, xx,…

A:

Q: Proble Diego wrote f(x) = (x + 2)(x – 4) as an example of a function whose graph has x-intercepts at…

A: Here x intercept comest at x=4,-2.

Q: What is the domain of the function f(x) = √(x2 - 16)?

A: The given function is fx=x2-16.

Q: The function, f(x)=1.8x+32f(x)=1.8x+32, is used to convert temperature in Celsius temperature, xx,…

A:

Q: Find the points of inflection of the function f(x)=x2lnx.

A: Inflection points are the points at which second derivative is zero. So differentiating f(x) with…

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.