The function f (x) = 15,000(0.88)* represents the value of a car over x years. What is the most appropriate domain for which the value of the car will be greater than 10% of its original value?

Q: Find the higher order derivative  f'(x)=7x2-9x2+4x f'''(x)=

A: We will use the following : ddxxn = nxn-1 ddxc = 0 where c is constant.

Q: Find the derivative.   g(x) = 4^x/x^4

A:

Q: need help solving this please

A:

Q: Differentiate the function using the three step rule. Show your solution. f(x)=(x)/(√(x-4))

A: You must have idea about three step differentiation method.

Q: Find the second derivative of the function. f(x) = (3x5 + 6)6

A: topic - double derivative

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (8x4…

A: Given: y=8x4+53

Q: The concentration of salt x in a homemade soap maker is given as a function of time by

A:

Q: Find the second derivative. f(x) = 6x10 − 17x5 − 12x3 + 5

A:

Q: Find the 2nd derivative x2+3/5

A: To find the 2nd derivative of x2+35. Solution: Let the given function be y=x2+35. Given function can…

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

A:

Q: Find the second derivative. f(x) = 5x10 - 19x5 – 11x3 + 2 f"(x) =

A:

Q: Find where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing.…

A: increasing and decreasing intervals of fucntion  fx=3x4 − 4x3 − 12x2 + 5

Q: Find the point of inflection of the graph of the function. f(x) Exvx + 6

A:

Q: Find the slope of the graph for the function f(x) = 3sinx + 11 at the point (7,11)

A: The function is f(x)=3 sin(x)+11

Q: solve for first and second derivative (x2 + 8)2(x − 8)

A: Let

Q: The initial weight of a container is 6.2 pounds. As water is added to the container, the weight…

A:

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: 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: Differentiate f (x)  = e1x

A: f(x)=ex

Q: What is the inflection point of the function f(x) = x5 ln(x)?

A:

Q: 4х + 1 f(x) = 2 – 5x2

A:

Q: Find the derivative. g(x) = (4x – 2)° – Vr + 8

A:

Q: According to an experimental study, the lifespan of a hamster is a function of the time the hamster…

A:

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

A: Given that the daily profit (in dollars) from the production and sales of x units of a product is…

Q: e2x F(x)

A: We will solve by this formula

Q: The perimeter of a rectangle is 200 meters. Express the area as a function of the length, ?.

A:

Q: Graph f(x) x'- 3x-9x + 2. 3r2

A:

Q: Differentiate the function.

A: The function given is, y=xx-1 Differentiate the function,  Apply the product rule ,…

Q: The cost to fence in a backyard is $1000 for an area less than or equal to 100 m2. An area greater…

A: Cost function = Average cost / Area

Q: Find the function of the derivative f'(x)= -12x+5 and with the graph passing through (-2,5)

A: Given, f'(x)= -12x+5

Q: Find the second derivative x4/7 -( solve using rationalising)

A: From the given problem:   fx=x47   As we know the second derivative is represented by:…

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

A: Topic:- function and geometry

Q: The graph of a polynomial function, f(x), is shown above. In the interval shown, how many times with…

A: We know that for any functionfx, the second derivative of fx cross the x-axis means second…

Q: Differentiate.

A:

Q: How can I solve the domain of this function?

A: Clearly we can see that the given function is a polynomial of order 2. And we know that polynomial…

Q: Find a linear function that approximate f(x) : 27. = x 3 near x =

A: To Determine: find a linear function that approximate f(x). Given: we have function fx=x23 near…

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

A: fx=0.077x+13.8

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: A car rental agency rents 200 cars per day at a rate $30 per day. For each $1 increase in rate 5…

A: Given problem is : A car rental agency rents 200 cars per day at a rate $30 per day. For each $1…

Q: Suppose the sales of a company are given by S=200x+800 where x is measured in years and x=0…

A: To find the sale of a company S where x=0.

Q: use the second derivative test to find and characterize all the relative extremes of f(x)=2x4-24x3+4

A:

Q: For function, find the point in the graph at which the tangent line has slope 9 Y= -0.025x^2+6x What…

A: The given function is:Y=-0.025x2+6xThe slope is 9

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

A: Given;

Q: The number of wolves in the wild in the northern section of the Cataragas county is decreasing at…

A: P(t)=P0(1-r)t r is the rate of decreasingP0 is the initial populationP(t) is the population after t…

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

A:

Q: Calculate the derivative. f (x) = 2x3 − 3x2 + 5

A:

Q: Use function notation to represent that your annual salary after working five years at your job is…

A: We will find the required function as following.